# Rounding to nearest tenth worksheet: Rounding to the nearest tenth

Posted on## Rounding Game — To The Nearest Tenth

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The resources listed below are aligned to the same standard, (5NBT04) re: Common Core Standards For Mathematics as the Rounding game shown above.

*Use place value understanding to round decimals to any place.*

#### Example/Guidance

- Lesson on how to round decimals (to nearest whole number, tenth, & hundredth)

#### Game

##### Matching Game

- Rounding To The Nearest Whole Number
- Rounding To The Nearest Hundredth

#### Quiz

- Rounding Decimals e.g. 3.234 to nearest hundredth

#### Worksheet

- Rounding decimals to the nearest whole number
- Rounding decimals to the nearest tenth
- Rounding decimals to the nearest hundredth

##### Worksheet Generator

- Rounding Decimals Nearest whole unit, tenth, hundredth, and/ or thousandth.

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

*Understand the place value system*

- Comparing Decimals (From Example/Guidance)
- Multiplying Decimals by Powers of 10 (From Example/Guidance)
- For Decimal Numbers (From Example/Guidance)
- For Decimal Numbers: Tenths (From Example/Guidance)
- For Decimal Numbers: Hundredths (From Example/Guidance)
- For Decimal Numbers: Thousandths (From Example/Guidance)
- Tenths, Hundredths, & Thousandths (From Chart)
- Thousandths To Billions (From Chart)
- Place Value Chart: To Quadrillions (From Chart)
- Decimal Chart (From Chart)
- Place Value Chart For Wall Display – Landscape (22 Pages) (From Chart)
- Place Value Chart For Wall Display – Portrait (22 Pages) (From Chart)
- Place Value Chart For Wall Display – A5-size (17 Pages) (From Chart)
- Decimals to Fractions (3 of 3) e. g. 3.75 = 3 3/4 (From Worksheet)
- Thousandths to Decimals e.g. 487/1000 = .487 (From Worksheet)
- Comparing/ Sequencing Decimals Hundredths and Thousandths (From Worksheet)
- Representing Decimals with Place Value Blocks (From Worksheet)
- Decimals to Fractions (2 of 3) e.g. tenths, hundredths, thousandths, with simplifying (From Worksheet)
- Comparing & ordering decimals (From Worksheet)
- Identifying & writing decimals – tenths (From Worksheet)
- Identifying & writing decimals – hundredths (From Worksheet)
- Identifying & writing decimals – thousandths (From Worksheet)
- Match Word with Standard Form (From Game)
- Match Standard with Expanded Form (From Game)
- Comparing Decimals To Thousandths (using <, >, & = symbols) (From Game)

This resource is available for re-use under a Creative Commons Attribution 4.0 International License. More details and source files here

## Rounding Decimals to the Nearest Ten Thousandth Worksheet

Question 1 :

Round 7. 350478 to the nearest ten thousandth.

Question 2 :

Round 2.501835 to the nearest ten thousandth.

Question 3 :

Round 9.335076 to the nearest ten thousandth.

Question 4 :

Round 6.0102514 to the nearest ten thousandth.

Question 5 :

Round 0.015203 to the nearest ten thousandth.

Question 6 :

Round 0.000068 to the nearest ten thousandth.

Questions 7-8 : Round each of the following numbers to the nearest ten thousandth :

Question 7 :

Question 8 :

Question 9 :

If the radius of a circle is 6.2 cm, find its circumference using the value of π from your calculator and round your answer to the nearest ten thousandth.

Question 10 :

If the radius of a circle is 9.8 cm, find its area using the value of π from your calculator and round your answer to the nearest ten thousandth.

Question 11 :

A student was asked to round 0.253598 to the nearest ten thousandth and the answer given by him was 25. 3598. Explain the mistake done by the student and find the correct answer.

Question 12 :

A number was rounded to the nearest tenth and it was 15.7634. Write down 10 different possible numbers that they could be rounded.

### Answers

1. Answer :

In 7.350478, the digit at ten thousandths place is 4. The digit at hundred thousandths place is 7, which is greater than 5.

So, add 1 to the digit 4 at ten thousandths place and drop all the digits to the right of 4.

Therefore, 7.350478 rounded to the nearest ten thousandth is 7.3505.

2. Answer :

In 2.501835, the digit at ten thousandths place is 8. The digit at hundred thousandths place is 3, which is less than 5.

So, keep the digit 8 at ten thousandths place as it is and drop all the digits to the right of 8.

Therefore, 2.501835 rounded to the nearest ten thousandth is 2.5018.

3. Answer :

In 9.335076, the digit at ten thousandths place is 0. The digit at hundred thousandths place is 7, which is greater than 5.

So, add 1 to the digit 0 at ten thousandths place and drop all the digits to the right of 0.

Therefore, 9.335076 rounded to the nearest ten thousandth is 9.3351.

4. Answer :

In 6.0102514, the digit at ten thousandths place is 2. The digit at hundred thousandths place is 5.

So, add 1 to the digit 2 at ten thousandths place and drop all the digits to the right of 2.

Therefore, 6.0102514 rounded to the nearest ten thousandth is 6.0103.

5. Answer :

In 0.015203, the digit at ten thousandths place is 2. The digit at hundred thousandths place is 0, which is less than 5.

So, keep the digit 2 at ten thousandths place as it is and drop all the digits to the right of 2.

Therefore, 0.015203 rounded to the nearest ten thousandth is 0.0152.

6. Answer :

In 0.000068, the digit at ten thousandths place is 0. The digit at hundred thousandths place is 6, which is greater than 5.

So, add 1 to the digit 0 at ten thousandths place and drop all the digits to the right of 0.

Therefore, 0.000068 rounded to the nearest ten thousandth is 0.0001.

7. Answer :

In 7.57643, the digit at ten thousandths place is 4.

The digit to the right of 4 is 3, which is less than 5.

So, keep the digit 4 at ten thousandths place as it is and drop the digit 3 to the right of 4.

Therefore, 7.57643 rounded to the nearest ten thousandth is 7.5764.

8. Answer :

In 0.28757, the digit at ten thousandths place is 5.

The digit to the right of 5 is 7, which is greater than 5.

So, add 1 to the digit 5 at ten thousandths place and drop the digit 7 to the right of 5.

Therefore, 0.28757 rounded to the nearest ten thousandth is 0.2876.

9. Answer :

Formula for circumference of a circle :

= 2πr

Substitute r = 6.2.

= 2π(6.2)

= 12.4π

Using calculator for the the value of π,

= 38.955748……..

In 38.955748…….., the digit at ten thousandths place is 7.

The digit to the right of 7 is 4, which is less than 5.

So, keep the digit 7 at ten thousandths place as it is and drop all the digits to the right of 7.

38.955748…….. rounded to the nearest ten thousandth is 38.9557.

Therefore, the circumference of the circle is about 38.9557 cm.

10. Answer :

Formula for area of a circle :

= πr^{2}

Substitute r = 9.8.

= π(9.8)^{2}

= 96.04π

Using calculator for the the value of π,

= 301.718558……..

In 301.718558…….., the digit at ten thousandths place is 5.

The digit to the right of 5 is 5.

So, add 1 to the digit 5 at ten thousandths place drop all the digits to the right of 5.

301.718558……… rounded to the nearest ten thousandth is 301.7186.

Therefore, the area of the circle is about 301.7186 cm^{2}.

11. Answer :

Instead of rounding to the nearest ten thousandth, Daniel has moved the decimal place.

The correct answer is 0.2536.

12. Answer :

15.