How to Convert CM to Inches in 3 Easy Steps

How to Convert CM to Inches in 3 Easy Steps

Convert CM to Inches

Step-by-Step Guide: How to Convert CM to Inches in 3 Easy Steps

 

Free Step-by-Step Guide: How to Convert CM to Inches.

 

Learning how to convert cm to inches is an important math skill that everyone will benefit from, no matter what their age is. Knowing how to convert cm to inches will allow you to quickly and accurately make conversions between different systems of measurement. This free step-by-step guide will teach you how to convert cm to inches using an easy three step method. Together, we will learn how to us a cm to inches conversion formula, and we will work through a few practice problems of how to convert cm to inches.

To gain a deep understanding of this topic, we recommend that you work through each section of this guide in order. However, you can also use the table of contents below to jump to any section of this guide:

Table of Contents (Jump To):

 

Figure 01: Inches vs. Centimeters

 

Review: Convert CM to Inches

Before we learn how to convert cm to inches, let’s review some key vocabulary related to this topic.

What are centimeters (cm) and inches (in.)?

A centimeter is a metric unit of length that is equivalent to one hundredth of a meter. The abbreviation for centimeters is cm.

An inch is an imperial unit of length that is equivalent to one twelfth of a foot. The abbreviation for inches is in.

Note that most of the world uses the metric system of measurement, while the imperial system in most commonly used in the United States.

When we compare the metric system and the imperial system in terms of inches and centimeters, the cm to inches unit conversion is as follows:

  • 1 inch equals 2.54 centimeters.

This relationship between inches and centimeters is shown in Figure 01 above.

CM to Inches Formula

Now that we understand the relationship between centimeters and inches, we are ready to learn the formula for how to convert cm to inches.

CM to Inches Conversion Formula:

  • Inches = Centimeters ÷ 2.54

So, whenever to have a length expressed in cm that you want to convert to inches, simple divide that length, in cm, by 2.54 (since one inch equals 2.54 centimeters), and then express your result in terms of inches.

 

Figure 02: How to convert cm to inches in 3 easy steps.

 

How to Convert CM to Inches in 3 Steps

You can use the conversion formula to solve any problem where you have to convert centimeters to inches by following these three easy steps:

  • Step 1: Identify the given length (in cm).

  • Step 2: Input that length into the conversion formula (inches = cm ÷ 2.54)

  • Step 3: Round your answer (if necessary) and express it in terms of inches.

For example, let’s convert 10 centimeter to inches using these three steps:

Step 1: Identify the given length (in cm).

The given length is 10 cm.

Step 2: Using the formula:

  • inches = cm ÷ 2.54

  • inches = 10 ÷ 2.54

  • inches = 3.937007874…

Step 3: Round your answer.

In most cases, you can make an accurate and correct conversion by rounding your answer to the nearest tenths decimal place.

Final Answer: 10 cm equals 3.94 inches.

Figure 02 above illustrates how we used the conversion formula to determine that 10 centimeters equals approximately 3.94 inches.

Now, let’s gain some more experience with converting cm to inches by working through some more practice problems.


 

CM to Inches Conversion Formula: inches = cm ÷ 2.54

 

CM to Inches: Example #1

Example #1: Convert 15 cm to inches

We can use our 3-step method to solve this problem as follows:

Step 1: Identify the given length (in cm).

For this example, the given length is 15 cm.

Step 2: Using the cm to inches conversion formula:

  • inches = cm ÷ 2.54

  • inches = 15 ÷ 2.54

  • inches = 5.9055118…

Step 3: Round your answer.

Finally, we can round our answer to the nearest tenths decimal place and conclude that:

Final Answer: 15 cm equals 5.90 inches.

 

Example #1 Solved: 15 cm equals 5.90 inches.

 

CM to Inches: Example #2

Example #2": Convert 19.5 cm to inches

We can solve this next example exactly the same way that we did Example #1

Step 1: For Example #2, the given length is 19.5 cm.

Step 2: Next, input 19.5 cm into the conversion formula as follows:

  • inches = cm ÷ 2.54

  • inches = 19.5 ÷ 2.54

  • inches = 7.677165…

Step 3: After rounding our result to 7.68, we can say that…

Final Answer: 19.5 cm equals 7.68 inches.

 

Example #2 Solved: 19.5 cm equals 7.68 inches

 

CM to Inches: Example #3

Example #3: A picture frame is 41 cm wide and 51 cm tall. What are the dimensions of the picture frame in inches? Round your answer to the nearest inch.

For our final example, we have to make to cm to inches conversions:

  • Convert 41 cm to inches; and

  • Convert 51 cm to inches

We can make the first conversion by using the cm to inches conversion formula as follows:

  • 41 cm to inches

  • inches = cm ÷ 2.54

  • inches = 41 ÷ 2.54

  • inches = 16.1417…

  • 41 cm equals approximately 16 inches

And, we can use the same approach to make the second conversion:

  • 51 cm to inches

  • inches = cm ÷ 2.54

  • inches = 51 ÷ 2.54

  • inches = 20.07874

  • 51 cm equals approximately 20 inches

Now that we have made both conversions, we can conclude that:

Final Answer: The approximate dimensions of the frame are 16 inches by 20 inches.

 

Example #3 Solved: The dimensions of the frame are 16 inches by 20 inches.

 

CM to Inches Chart

Now that you know how to easily convert cm to inches, it can be extremely handy to have access to a conversion chart so that you can quickly reference common conversions between centimeters and inches.

 
cm inches conversion
10.391 ÷ 2.54 = 0.39 in
20.792 ÷ 2.54 = 0.79 in
31.183 ÷ 2.54 = 1.18 in
41.574 ÷ 2.54 = 1.57 in
51.975 ÷ 2.54 = 1.97 in
62.366 ÷ 2.54 = 2.36 in
7.52.957.5 ÷ 2.54 = 2.95 in
93.549 ÷ 2.54 = 3.54 in
103.9410 ÷ 2.54 = 3.94 in
114.3311 ÷ 2.54 = 4.33 in
124.7212 ÷ 2.54 = 4.72 in
135.1213 ÷ 2.54 = 5.12 in
145.5114 ÷ 2.54 = 5.51 in
155.9115 ÷ 2.54 = 5.91 in
166.3016 ÷ 2.54 = 6.30 in
176.6917 ÷ 2.54 = 6.69 in
187.0918 ÷ 2.54 = 7.09 in
197.4819 ÷ 2.54 = 7.48 in
207.8720 ÷ 2.54 = 7.87 in
218.2721 ÷ 2.54 = 8.27 in
228.6622 ÷ 2.54 = 8.66 in
239.0623 ÷ 2.54 = 9.06 in
249.4524 ÷ 2.54 = 9.45 in
259.8425 ÷ 2.54 = 9.84 in
2610.2426 ÷ 2.54 = 10.24 in
 

If you want to have this chart on hand to make quick and accurate conversions anywhere you go, then click the link below to download your printable CM to Inches Conversion Chart PDF!

Click Here to Download Your Free Conversion Chart


 
 

More Free Math Resources:

There's a Woman in a Boat Riddle—Answer and Explanation

There's a Woman in a Boat Riddle—Answer and Explanation

There’s a Woman in a Boat Riddle: Solved

What is the There’s a Woman in a Boat Riddle answer?

 

There’s a Woman in a Boat Riddle

 

If you are looking for a simple yet challenging brain teaser, then the There’s a Woman in a Boat riddle will surely give you a fun mental workout. This riddle has become really popular on social media recently because of it simple structure and ability to absolutely stump most people who attempt to determine the riddle’s answer.

The riddle, shown in full below, is just two simple sentences. While the given information seems limited, everything you need to find the answer is included in the wording of the riddle. The challenge lays in decoding the given information to determine the woman’s name.

If you are ready to attempt to answer the ‘There’s a Woman in a Boat’ riddle on your own, then carefully read the riddle and give yourself as much time as you would like to attempt to solve it. You can even go for a long walk where you can "take the riddle with you” and play with it in your mind until you find an answer.

And, whenever you are read to see the There’s a Woman in a Boat Riddle Answer, scroll down to the bottom section of this page to see the solution along with an in-depth explanation.

There’s a Woman in a Boat Riddle

There’s a woman in a boat on a lake wearing a coat, if you want to know her name it’s in the riddle I just wrote. What is the woman’s name?

Most people who attempt to solve this riddle give up after a while, saying that there is simply not enough given information to figure out the woman’s name. If you find yourself feeling this way, we encourage you to go back and try again. This time, read the riddle very carefully and think about how the woman’s name could be hidden within the text.

If you are still stumped, but not ready to see the answer, here are a few suggestions for different ways to think about this problem:

  • How could the text be rewritten if you did know the woman’s name? For example, if you knew that the woman’s name was Jennifer (it’s not), how would you rewrite the text?

  • Many riddles have elements of misdirection. Is there any information that is included to misdirect you rather than help you to find the answer?

Now is your final chance to find the answer on your own. If you want more time, stop now and do not continue scrolling. The next section will reveal the There’s a Woman in a Boat Riddle Answer along with a detailed explanation.

There’s a Woman in a Boat Riddle Answer

Now it’s time to reveal the answer to the There’s a Woman in a Boat riddle:

Answer: The woman's name is There.

Did you solve this one correctly? The fun of this short riddle lies in how it misdirects the reader by using a name that is also a common pronoun (There).

The woman’s name, which is There (which could possibly be short for Theresa) is hidden in plain sight, which is why the reader doesn’t actually need any additional information in order to find the answer. When the riddle says that her name “is in the riddle I just wrote,” it is not a metaphor. The riddle is actually telling the reader the woman’s name is one of the actual words included in the riddle itself.

If you were unable to solve the There’s a Woman in a Boat Riddle, it is likely because you were overthinking how to find the answer. Many people who fail to solve this riddle get caught up in the details of the short story, such as the fact that she is on a lake or that she is wearing a coat. However, the details of the story do not actually help the reader at all.

 

The woman’s name is There, which is the very first word of the riddle!

Photo by Buster Ferraz on Unsplash

 

Conclusion

The There’s a Woman in a Boat riddle is a fun example of how the English language can be played with in a clever and literal way. This simple riddle uses double-meanings, misdirection, and reader tendencies to display an extremely simple scenario into something that seems complex and difficult to decode.

The riddle tricks the reader by using her tendency to look for explicit information against her, and making the answer so extremely obvious that it often gets completely overlooked, which is why so many people fail to find the There’s a Woman in a Boat riddle answer.

Now that we have solved the riddle, let’s remember that we all use mental biases and underlying assumptions whenever we are solving problems. While these tendencies often help us and save us time, they can sometimes force us into rigid ways of thinking that prevent us from seeing things that are very clear or obvious.

So, trying to solve riddles like There’s a Woman in a Boat is an awesome way to teach yourself to be an open-minded problem solver and to not get overly reliant on rigid and uncreative ways of thinking.

Ready for Another Riddle?

I met a man on London Bridge. He tipped his hat and Drew his name and cheated at the guessing game. What was the man’s name?

Can you this fun riddle? Click here to see the answer.

Keep Learning:

Reflection Over X Axis and Y Axis—Step-by-Step Guide

Reflection Over X Axis and Y Axis—Step-by-Step Guide

Reflection Over X Axis and Y Axis: Student Guide

Math Skills: Perform a reflection over x axis, Perform a reflection over y axis, Reflections on the coordinate plane

Understanding how to perform a reflection over x axis or a reflection over y axis is an important algebra skill that students can easily master with some study and practice.

In real life, a reflection is a concept that everyone is familiar with, as many of us look a mirror at least once every day.

Similarly, in math, a reflection is a type of transformation where the mirror image of a point, line, or figure is displayed on the coordinate plane.

This free student guide on How to Perform Reflection Over X Axis and How to Perform Reflection Over Y Axis will teach you how to perform reflections on the coordinate plane in a simple step-by-step way.

Table of Contents | Jump to:

Reflections in Real-Life (Photo by Tim Stief via Unsplash)

Reflections in Math: Reflection over the x axis example.

What is a Reflection Over the X-Axis?

In math, a reflection over x axis of a point, a line, or a figure involves reflecting the image over the x axis to create a mirror image.

In the case of a reflection over the x axis, the horizontal line on the coordinate plane that passes through the origin (the x-axis) would be called the axis of reflection.

In other words, whenever something is reflected over the x axis, it is essentially “flipped” across the axis on the coordinate plane.

Rule: Whenever a point is reflected over the x-axis, the following rule applies:

  • x-coordinates stay the same

  • y-coordinates change signs (positive becomes negative and vice versa)

  • Rule: (x,y) → (x,-y)

For example, if we reflected the coordinate points A (2,6) and B (7, 3) over the x-axis, the new reflected points, A’ and B’, would become:

  • A (2,6) → A’ (2,-6)

  • B (7,3) → B’ (7, -3)

Again, notice, after a reflection over x axis, that the x-coordinates did not change, but the signs of the y-coordinates were reversed (positive values became negative)

Figure 01 below shows what it would look like if we took line segment AB (with coordinates A (2,6) and B (7, 3)) and reflected it over the x-axis to create the image of line segment A’B’.

 

Figure 01: The reflection over x axis rule states that (x,y) → (x,-y).

 

What is a Reflection Over the Y-Axis?

Similarly, a reflection over y axis of a point also involves reflecting the image over the y axis to create a mirror image.

Whenever you have to reflect a point over the y axis, you are reflecting over the vertical line on the coordinate plane that passes through the origin (i.e. the y-axis is the axis of reflection).

Rule: Whenever a point is reflected over the y-axis, the following rule applies:

  • x-coordinates change signs (positive becomes negative and vice versa)

  • y-coordinates stay the same

  • Rule: (x,y) → (-x,y)

For example, if we took line segment AB, with coordinate points A (2,6) and B (7, 3), from the previous example and reflected over y axis, the new coordinate points, A’ and B’, would be:

  • A (2,6) → A’ (-2,6)

  • B (7,3) → B’ (-7, 3)

In the case of reflection over y axis, notice that the signs of the x-coordinate values were reversed (positive became negative) and that the y-coordinate values were unchanged.

Figure 02 below illustrates this rule and what the image of AB would look like after it was reflected over the y axis.

 

Figure 02: The reflection over y axis rule states that (x,y) → (-x, y).

 

The chart below displays the difference between reflecting line segment AB over the x-axis versus reflecting over the y-axis.

 
Original Point Reflected over X-Axis Reflected over Y-Axis
A (2, 6) A′ (2, -6) A″ (-2, 6)
B (7, 3) B′ (7, -3) B″ (-7, 3)
 

Now that you have a better understanding of the difference between a reflection over x axis and a reflection over y axis, you are ready to work through a few practice problems.

Before moving onto the next section, make sure that you have a firm grasp of the following key points:

  • On the coordinate plane, the x-axis is a horizontal line () that passes through the origin, while the y-axis is a vertical line (↕) that passes through the origin. The difference between the x-axis and the y-axis is illustrated in Figure 03 below.

  • The rule for a reflection over the x axis is: (x,y) → (x,-y)

  • The rule for a reflection over the y axis is: (x,y) → (-x, y)

 

Figure 03: The x-axis is a horizontal line and the y-axis is a vertical line.

 

Reflection Over X Axis and Y Axis Examples

Reflection Over X Axis Example #1

Problem: Reflect the point P (5,8) over the x-axis.

For our first example, we will take a given point and perform a reflection over x axis.

Quick Tip: Remember that the rule for reflecting a coordinate point over the x-axis is (x,y) → (x,-y), so you only have the change the sign of the y-coordinate.

Step 1: Apply the reflection over the x-axis rule:

  • Given Point: P (5,8)

  • Rule: P (5,8) → P’ (5, -8)

Step 2: Plot P’ (5,-8) on the coordinate plane to complete the reflection.


Final Answer: The reflected point is P’ (5,-8)

Example #1: Reflection over x axis of one coordinate point.

Reflection Over X Axis Example #2

Problem: Reflect line segment RS, with endpoints R(-3,-4) and S(2,-5), over the x axis.

For this next example of how to perform reflection over x axis, we have to reflect an entire line segment, and we can do that by applying the rule (x,y) → (x,-y) to both endpoints and then plotting those new points and constructing the line segment R’S’.

Step 1: Apply the rule to each given point.

  • Given Points: R(-3,-4) and S(2,-5)

  • Rule: R(-3,-4) → R’(-3,4)

  • Rule: S(2,-5) → S’(2,5)

Example #2: Reflection over x axis of a line segment.

Step 2: Plot the endpoints R’ and S’ and construct the reflected line segment (i.e. connect R’ and S’ with a straight line).

Final Answer: The reflected line segment R’S’ has endpoints at R’ (-3, 4) and S’ (2, 5).

The chart below shows how the coordinates of points R and S were transformed after a reflection over the x axis.

 
Point Coordinates Reflected Over X-Axis
R (-3, -4) R′ = (-3, 4)
S (2, -5) S′ = (2, 5)
 

Reflection Over X Axis Example #3

Now, let’s try a problem where we have to reflect an entire figure over the x-axis.

Problem: Reflect △ABC over the x-axis if the figure has vertices at:

  • A (2, 8)

  • B (6, 4)

  • C (4, -2)

Step 1: Apply the rule (x,y) → (x,-y) to each point:

  • A (2, 8) → A’ (2, -8)

  • B (6, 4) → B’ (6, -4)

  • C (4, -2) → C’ (4, 2)

Example #3: Reflection over x axis of a figure.

Step 2: Plot and label points A’, B’, and C’ on the coordinate plane and construct △A’B’C’ as shown in Figure 04 below. Notice how points A and B are reflected below the x-axis, while point C is reflected above the x-axis, which creates a symmetrical mirror image between △ABC and △A’B’C’.

 

Figure 04: How to perform a reflection over the x axis of a figure (completed)

 

Reflection Over Y Axis Example #1

Problem: Reflect the point K (-8,6) over the y-axis.

Let’s start off by reflecting a single coordinate point over the y axis.

Quick Tip: The rule for reflecting a point over the y-axis is (x,y) → (-x,y), so you only have the change the sign of the x-coordinate.

Step 1: Apply the reflection over y-axis rule:

  • Given Point: K (-8,6)

  • Rule: K (-8,6) → K (‘-8,6)

Step 2: Plot K’ on the graph.

Final Answer: After K (-8,6) is reflected over the y-axis, the coordinates of K’ are (8,6).

Example #1: Reflection over y axis of a point.

Reflection Over Y Axis Example #2

Our next example of how to perform reflection over y axis involves a line segment.

Problem: Reflect segment CD over the y-axis, where:

  • C (2,7)

  • D (9,-5)

Step 1: Apple the rule (x,y) → (-x,y) to each point:

  • C (2,7) → C’ (-2,7

  • D (9,-5) → D’ (-9,-5)

Step 2: Plot C’ and D’ and construct the reflected line segment C’D’.

Final Answer: Line segment C’D’ has endpoints at C’ (-2,7) and D’ (-9,-5).

Example #2: Reflection over y axis of a line segment.

The chart below shows how the coordinates of points C and D were transformed after a reflection over the y axis.

 
Point Original Coordinates Reflected Over Y-Axis
C (2, 7) C′ = (-2, 7)
D (9, -5) D′ = (-9, -5)
 

Video Tutorial: Reflections on the Coordinate Plane

If you need some extra help with learning how to reflect over the x-axis or over the y-axis, then check out our free Reflections on the Coordinate Plane Video Tutorial, which includes a review of key concepts and vocabulary related to reflections as well step-by-step explanations of how to solve a variety of problems.

If you like the video, please subscribe to our channel, give it a thumbs up, and/or leave a positive comment. Thank you in advance for your support.

 
 

Reflection over X Axis and Y Axis Worksheet

Preview: Free Reflection Over X Axis and Y Axis Worksheet.

Now that you have a better understanding of how to reflect a point, line, or figure over the x and y axis, it’s time to try some problems on your own to assess your overall understanding.

The free PDF worksheet below includes several practice problems for performing a reflection over the x-axis and over the y-axis. We recommend trying each problem on your own and then checking your solutions by comparing them to the answer key.

If you solve more than 85% of the problems correctly, then you likely have a strong understanding of how to perform a reflection on the coordinate plane. However, if you are still struggling, you can go back and work through the step-by-step problems in the guide for a second time. The more that you practice this skill, the better you will understand it!

Click here to download your free Reflections Over the X and Y-Axis PDF Worksheet.

And click here to access hundreds of free Algebra and Geometry practice worksheets with answer keys.


More Math Resources and Tutorials You Will Love:

How to Calculate Percent Error in 3 Easy Steps

How to Calculate Percent Error in 3 Easy Steps

How to Calculate Percent Error Using the Percent Error Formula

Step-by-Step Guide: How to Calculate Percent Error in 3 Easy Steps

 

Free Step-by-Step Guide: How to Calculate Percent Error

 

Whether you are a student working on solving math problems or an analyst working in a science lab, knowing how to calculate percent error is an important and useful skill both inside and outside of the classroom. Percent error tells us how close a measured or estimated value is compared to the actual value. In short, percent error is a tool for measuring accuracy. The smallest that a percent error is, the more accurate the measurement is (and vice versa), and calculating percent error is a relatively easy task provided that you can following a few simple steps.

In this free guide, you will learn How to Calculate Percent Error in 3 Easy Steps and how the percent error formula can be applied to real-life scenarios and contexts. Together, we will work through three step-by-step examples that range from basic to intermediate to advanced, to help you become a pro at calculating percent error.

You can work through the sections in this guide in order, or you can click on any of the text links below to jump to any section of this page.

 

Preview: Percent Error Example #1

 

Quick Review: What is Percent Error?

Let’s start off with a quick review of percent error and the percent error formula.

Often used in math and science, Percent Error is a formula that can be used to calculate the difference between a measured or estimated value compared to actual or exact value, and it is expressed as a percentage.

Whenever you are faced with questions related to measurement such as:

  • I made a guess about something measurable. How far off was my guess compared to the actual value?

  • I made a measurement. How accurate was my measurement?

  • I estimated the value of something. How close was my estimation compared to the actual value?

Being able to answer these questions comes in handy in science in math whenever you are comparing estimations or predictions to actual results.

The Percent Error Formula

Percent Error can be calculated by using the following formula:

  • Percent Error = [( |Measured Value - Actual Value|) / Actual Value] x 100

Where…

  • The Measured Value is a number that represents a measurement, estimation, or calculation that you or somebody else has made.

  • The Actual Value represents the actual or exact value.

As long as you know that Measured Value and the Actual Value, you can plug those numbers into the Percent Error Formula and solve.

 

Figure 01: The Percent Error Formula

 

How to Calculate Percent Error in 3 Easy Steps:

Now we are ready to learn how to calculate percent error using the percent error formula and by following these three simple steps:

  • Step 1: Plug the Measured Value and the Actual Value into the Percent Error Formula.

  • Step 2: Find the absolute value of the difference of the Measured Value and the Actual Value, and then divide that result by the Actual Value.

  • Step 3: Multiply your result from Step 2 by 100 and express your answer as a percent.

For example, considered the following scenario:

How to Calculate Percent Error Example #1

Problem: Christian attempted to measure his own height and came up with an estimated height of 58 inches. After a visit to the doctor, it was determined that his actual height is 60 inches. What was the percent error of Christian’s measurement?

For this example, we know that:

  • Measured Value: 58 inches

  • Actual Value: 60 inches

With this information, we can use the Percent Error Formula and our 3-step process to solve the problem as follows:

Step 1: Plug the Measured Value and the Actual Value into the Percent Error Formula.

Using the Percent Error Formula:

  • Percent Error = [( |Measured Value - Actual Value|) / Actual Value] x 100

We can substitute as follows:

  • Percent Error = [( |58 - 60|) / 60] x 100

Step 2: Find the absolute value of the difference of the Measured Value and the Actual Value, and then divide that result by the Actual Value.

We can evaluate the first part of the equation as follows:

  • ( |58 - 60|) / 60 = |-2|/60 = 2/60 = 0.33333333….

Step 3: Multiply your result from Step 2 by 100 and express your answer as a percent.

Finally, we can take our result from the previous step and multiply if by 100 as follows:

  • 0.33333333…. x 100 = 3.333333… ≈ 3.33%

Final Answer: The Percent Error is 3.33%

The graphic in Figure 02 below illustrates how we solved this problem of how to calculate percent error. Now let’s move onto another example.

 

Figure 02: How to Calculate Percent Error in 3 Steps.

 

How to Calculate Percent Error Example #2

Problem: Troy estimates that his hometown has a population of 9,000 people, but the census data showed that the actual population is 10,750 people. What is the percent error?

We can solve this percent error problem using the Percent Error Formula and by following the same steps as we did in the previous example.

  • Percent Error = [( |Measured Value - Actual Value|) / Actual Value] x 100

Step 1: Let’s start by inputting both the Measured Value and the Actual Value and plugging them into the Place Value Formula. Remember that the measured value can refer to a measurement, an estimation, or even a guess.

  • Measured Value: 9,000

  • Actual Value: 10,750

  • Percent Error = [( | 9,000 - 10,750|) / 10,750 ] x 100

Step 2: Now we can evaluate the first part of the equation as follows:

  • | 9,000 - 10,750|) / 10,750 = | -1,750|/10,750 = 1,750/10,750 = 0.16279…

Step 3: Finally, we can multiply the result from the previous step by 100 and express our answer as a percentage.

  • 0.16279 x 100 = 16.279 ≈ 16.3%

Final Answer: The percent error was 16.3%

Figure 03 below shows the step-by-step process for solving Example #2.

 

Figure 03: How to Calculate Percent Error

 

How to Calculate Percent Error Example #3

Are you starting to get the hang of how to use the percent error formula to figure out percent error? As long as you know how to use the formula correctly, you can solve any problem that requires you to calculate percent error. So, let’s go ahead and work through one more practice problem.

Problem: A chemistry student calculated to density of a substance as 1.19 g/cm³. The actual density of the substance is 1.04 g/cm³. What is the percent error.

Step 1: Just like the previous examples, we can start by plugging in our given values:

  • Measured Value: 1.19

  • Actual Value: 1.04

  • Percent Error = [( | 1.19 - 1.04|) / 1.04 ] x 100

Step 2: Next, we can evaluate the first part of the equation as follows:

  • (|1.19 - 1.04|) / 1.19 =|0.15| / / 1.04 = 0.15/1.04 = 0,14423

Step 3: Now we just have to multiply 0.14423 by 100 to get our final answer:

  • 0.14423 x 100 ≈ 14.4%

Final Answer: The percent error is 14.4%

You can see the entire 3-step process for solving Example #3 in Figure 04 below.

 

Figure 04: How to Calculate Percent Error Example #3 Solved

 

How to Calculate Percent Error Practice Problems

Are you ready to try a few practice problems on your own? If so, go ahead and try the following problems on your own and click here when you are ready to see the answer key.

Directions: Calculate percent error for each of the following and round your answer to the nearest tenth decimal place.

1.) Measured Value: 48, Actual Value: 50

2.) Measured Value: 4.2 Actual Value: 5.0

3.) Measured Value: 105 Actual Value: 110

4.) Measured Value: 8.5 Actual Value: 9.0

5.) Measured Value: 309 Actual Value: 285

6.) Measured Value: 0.87 Actual Value: 0.91

7.) Measured Value: 0.976 Actual Value: 1.002


 
 

Percent Error Practice Problems Key:

  1. 4%

  2. 16%

3. 4.6%

4. 5.6%

5. 8.4%

6. 4.4%

7. 2.6%


More Free Math Resources:

Free Division Chart —Printable PDF

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Free Division Chart —Printable PDF

Free Printable Division Chart for Kids

Division Chart for Students

If your kids are learning how to divide, then a division chart is an effective and useful visual tool for helping them to learn division facts and understand patterns and relationships related to division.

While using a multiplication chart to learn multiplication facts and times tables is a common practice at the elementary level, using a division chart to learn division facts is less common. However, division charts can be extremely effective when it comes to helping kids to learn how to divide and to study and remember relationships related to division.

If you are looking for a printable reference that includes division facts for the numbers 1-12, our handy free division chart is an awesome tool that can help students in a variety of ways. Having a decimal chart nearby when learning how to divide numbers and how to solve elementary division problems is a great way to support students and help them to learn their division facts.

Below you will find a link to download your free Fraction Chart as a printable PDF file. The entire division chart fits on one page, and it can be printed in color or in black-and-white.

 

Division Chart (Preview)

 

Division Chart Download

Click Here to Download Your Free Division Chart PDF

(When you click on the text link above, the PDF preview window will appear, where you will have the option download and/or print your division chart).

Now that you have your Division Chart on hand, here are a few great ideas for how you can use division charts to support your students in your classroom or your kids at home.

How to Use a Division Chart to Help Your Students

When it comes to helping young learners with complex topics like multiplication and division, visual tools can be an incredibly effective resource for helping students to develop both procedural fluency as well as conceptual understanding.

In the case of learning how to divide whole numbers, using a division chart is a great way to help students learn important division facts and how to perform basic division. Additionally, once students have become familiar with multiplication and multiplication charts, they can use a division chart to better understand the inverse relationship between multiplication and division.

If you are looking for a few specific ways to use a division chart to help your students with this important math skill, here are a few ideas:

Learning Important Math Facts

Similar to how multiplication tables help students to understand and remember common multiplication facts, a division chart can help students to understand and remember common division facts. For example, students who memorize that 8 x 3 = 24 and also that 24 ÷ 8 = 3 are better able to make quick and accurate computations and solve problems. They are also better able to understand the relationship between multiplication and division.

 

A division chart is a great too for supporting students during independent practice. (Image: Mashup Math G)

 

Support Kids at Home and in the Classroom

One of the best ways to use a Division Chart to help your kids at home is to print it out and have it laminated so that you can use it as a reference guide as often as you need to. When students are first learning how to divide and doing independent practice at home, having a physical division chart nearby can support students whenever they are struggling with solving a problem. This strategy also works for students in the classroom, as teachers can either post a division chart in their classroom, or give each student their own division chart to use as a reference. In either scenario, students who have a hard time with remembering division facts can use a division chart to support their learning, build confidence, and prevent them from becoming overly frustrated when they are struggling.

Check Your Work

As your students become more comfortable and confident in their division skills, they will not need to have a division chart as reference as often. When your students reach this level, you can have them work on work on solving division problems on their own, and then they can self-assess by checking their answers using a division chart once they have completed an assignment. This strategy helps students to identify their strengths and weaknesses, and what particular division facts they need to practice more and study further.

Recognizing Patterns and Relationships

Once your students are able to divide whole numbers consistently, you can start to give them assignments that mix multiplication problems and division problems together. At this level, having students look at multiplication charts and division charts side-by-side is a great way to help students to deeply understand the relationship between multiplication and division, which will help them to solve more complex and multi-step problems in the future. For example, consider having students work on these two problems one after the next:

  • 21 ÷ 7 = 3

  • 7 x 3 = 21

After students solve both problems, students are better able to understand why multiplication and division are inverse operations of each other.

By helping your students develop a strong foundational understanding of division, how to divide numbers, and the inverse relationship between division and multiplication, you are putting your students on a path to be successful at higher levels of math, which will benefit them in the classroom and beyond.

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