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Rounding Decimals

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Rounding Decimals
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Basics on the topic Rounding Decimals

Rounding Decimals: A Step-by-Step Guide

Welcome to our exciting journey into the world of rounding decimals! Here, we aim to simplify complex numbers, making them more manageable and understandable, by using rounding to different place value.

Rounding Decimals – Definition

Rounding decimals is used in our daily lives very often - it helps when estimating money, measurements or distances - therefore, learning how to round is a valuable skill not only in but also outside of school.

Rounding decimals is about approximating, or estimating, a decimal to a certain place value.

Are you ready to become a rounding expert? Let’s jump in!

Decimals and Rounding

Understanding decimals is key to mastering how to round them. A decimal number represents an equal part of a whole, just like a fraction. If you're new to decimals or need a refresher, our video What is a Decimal? for 4th graders is a perfect starting place.

Rounding decimals is similar to rounding whole numbers. Brush up on this foundational skill by checking out Rounding Multi Digit Numbers for 4th graders.

Feeling confident? Let's proceed to the world of rounding decimals together!

Understanding Rounding Decimals – Rules

When rounding decimals, it is important to follow a few simple rules:

Rule Description
To round to the nearest tenth Check the hundredth place
To round to the nearest hundredth Check the thousandth place
The determining digit is 5 or higher Round up
The determining digit is lower than 5 Round down
What is decimal rounding?
When do we round up?

Rounding Decimals – Examples

Let’s explore some examples. Imagine rounding the number 3.673:

To the nearest tenth: Look at the hundredth place (7). Since 7 > 5, round up to 3.7.

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27092_ToV-03.svg

To the nearest hundredth: Look at the thousandth place (3). Since 3 < 5, round down to 3.67.

27092_ToV-02.svg

27092_ToV-04.svg

Rounding Decimals – Guided Practice

Try rounding the number 9.736 to the nearest tenth.

Look at the digit in the hundredth place. What is it?
Decide if this digit rounds up the tenths up or down.
Write the rounded decimal.

Try rounding the number 9.736 to the nearest hundredth.

Look at the digit in the thousandth place. What is it?
Decide if this digit rounds up the tenths up or down.
Write the rounded decimal.

Rounding Decimals – Exercises

Now that you are familiar with rounding rules and have seen a couple of examples, let’s try to complete a couple of trickier rounding exercises.

Round 3.78 to the nearest whole number.
Round 6.53 to the nearest tenth.
Round 2.849 to the nearest hundredth.
Round 0.57 to the nearest whole number.
Round 4.9400 to the nearest tenth.
Challenge exercise! List all decimals that will round to 3.4 when rounded to the nearest tenth. .

Rounding Decimals – Summary

  • A decimal number represents an equal part of a whole, just like a fraction.

  • Rounding decimals is about approximating, or estimating, a decimal to a certain place value.

  • Rounding decimals is used in our daily lives very often - it helps when estimating money, measurements or distances.

  • Rounding to the nearest tenth: Look at the hundredth place. Round up if ≥ 5, otherwise round down.

  • Rounding to the nearest hundredth: Look at the thousandth place. Round up if ≥ 5, otherwise round down.

Frequently Asked Questions – Rounding decimals

What is rounding decimals?
Why do we round decimals?
What are the basic steps in rounding decimals?
How do you round to the nearest tenth?
How do you round to the nearest hundredth?
Can you round a decimal to a whole number?
What happens to the digits after the rounding point?
Does rounding a decimal always increase the number?
Is rounding decimals important in real life?

Transcript Rounding Decimals

The day of the long-awaited concert is finally here for Luis and Kai! They have all the details of the journey planned out, but they want to estimate how far they're traveling so they are prepared. We can do this by rounding decimals. Rounding decimals is a process that is used to approximate a number to a specific place value. This is useful in math and when working with money, measurements, and distances to help you get a good estimate. Rounding decimals follows similar steps and rules to rounding whole numbers. First, identify the place value that you are rounding to. If we were rounding to the tenths place, we would start here. Then, look to the digit to the right. If the value of the digit to the right is less than five, keep the number the same. If the value of the digit to the right is five or more, round the number up to the next one. When you write the rounded decimal number, get rid of every digit to the right of the number you are rounding. You only do this when rounding in the decimal places. Luis and Kai are ready for our help now! Their first stop is the train station, which is seven and two thousand three hundred forty-five ten-thousandths of a mile away. Round this number to the hundredth place. Here, we identify the hundredth place, a three. Now look to the right of this value, which is a four. Since four is less than five, we round down, which means the three stays as it is. When we write the rounded decimal, we lose the four and five after the hundredth place, since we rounded to the hundredth place. Seven and two thousand three hundred forty-five ten-thousandths rounded to the hundredth place is seven and twenty-three hundredths! The train station is seven and twenty-three hundredths of a mile away. From the train station, the concert is thirty-five and eight hundred ninety-three thousandths of a mile away. Let's see if we can round this number to the nearest tenths place. Pause the video to solve the problem, and press play when you are ready for the solution. Identify the tenth place value, which is eight. Look to the value to the right, which is a nine. Nine is five and above, so we round up. Thirty-five and eight hundred ninety-three thousandths to the nearest tenth place is thirty-five and nine tenths. The concert is thirty-five and nine-tenths of a mile away. Before we check out the concert, let's wrap it up! To summarize, rounding decimals is a similar process to rounding whole numbers. Simply identify the place value you're rounding, and look at the digit to the right. If it's less than five, round down, and if it's five and above, round up, and then drop every digit after the place value you're rounding to. "This is the best concert ever, Luis!"

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