ROUNDING DECIMALS WORKSHEET

Question 1 :

Round 7.284 to the nearest tenth.

Question 2 :

Round 12.102473 to the nearest thousandth.

Question 3 :

Round 9.23801 to two decimal places.

Question 4 :

Round 1.57402 to three decimal places.

Question 5 :

Round 47.237 to the nearest

(a) whole number

(b) hundredth

Question 6 :

Round the following number to the nearest tenth.

Question 7 :

Round the following number to the nearest tenth.

Question 8 :

Round the following number to the nearest hundredth.

Question 9 :

Round the following number to the nearest thousandth.

Question 10 :

Round the following number to the nearest ten thousandth.

Question 11 :

The radius of a circular ring is 12.5 cm. Find its circumference. Use π ≈ 3.14 and round your answer to the nearest whole number.

Question 12 :

The radius of a circular shaped garden is 2.75 m. Find the area of the garden Use π ≈ 3.14 and round your answer to the nearest hundredth.

Question 13 :

In an university, there are 3528 students and about 92% of the students are using mobile phones. Find the number of students using mobile phones.

Question 14 :

Two numbers P and Q have two decimals places. The first number P is rounded to the nearest tenth and the resulting number is R. The second number Q is also rounded to the nearest tenth and the resulting number is S. Is it possible to have the difference between P and Q and the difference between R and S same?

Question 15 :

A number is rounded to the nearest thousandth and it is 0.004. Write down 10 different possible numbers that they could be rounded.

Answers

1. Answer :

7.287

Since 7.284 is rounded to the nearest tenth, look at the digit at hundredths place.

The digit at hundredths place is 7, which is greater than 5.

So, add 1 to the digit 8 at tenths place and drop the digit 7 at hundredths place.

Therefore, 7.287 rounded to the nearest tenth is 7.29.

2. Answer :

12.102473

Since 12.102473 is rounded to the nearest thousandth, look at the digit at ten thousandths place.

The digit at ten thousandths place is 4, which is less than 5.

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

Therefore, 12.102473 rounded to the nearest thousandth is 12.102.

3. Answer :

9.23801

Since 9.23801 is rounded to two decimal places, look at the digit at third place to the right of the decimal point.

The digit at third place is 8, which is greater than 5.

So, add 1 to the digit 3 at second place to the right of the decimal point and drop all the digits to the right of 3.

Therefore, 9.23801 rounded to two decimal places is 9.24.

4. Answer :

1.57402

Since 1.57402 is rounded to three decimal places, look at the digit at fourth place to the right of the decimal point.

The digit at fourth place is 0, which is less than 5.

So, keep the digit 4 as it is at third place to the right of the decimal point and drop all the digits to the right of 4. 

Therefore, 1.57402 rounded to three decimal places is 1.574.

5. Answer :

47.237

Part (a) :

Since 47.237 is rounded to the nearest whole number, look at the first digit to the right of the decimal point.

The first digit to the right of the decimal point is 2, which is less than 5.

So, keep the digit 7 as it is at tens place in the whole number part and drop the decimal point and all the digits to the right of it.

Therefore, 47.237 rounded to the nearest whole number is 47.

Part (b) :

Since 47.237 is rounded to the nearest hundredth, look at the digit at thousandths place.

The digit at thousandths place is 7, which is greater than 5.

So, add 1 to the digit 3 at hundredths place and drop the digit 7 at thousandths place.

Therefore, 47.237 rounded to the nearest hundredth is 47.24.

6. Answer :

The digit at tenths place is in 10.15 is 1.

The digit at hundredths place in 10.15 is 5

So, add 1 to the digit 1 at tenths place and drop the digit 5 at hundredths place.

Therefore, 10.15 rounded to the nearest tenth is 10.2.

7. Answer  :

The digit at tenths place is in 6.738 is 7.

The digit at hundredths place in 6.738 is 3, which is less than 5.

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

Therefore, 6.738 rounded to the nearest tenth is 6.7.

8. Answer :

The digit at hundredths place is in 1.589 is 8.

The digit at thousandths place in 1.589 is 9.

So, add 1 to the digit 8 at hundredths place and drop the digit 9 at thousandths place.

Therefore, 1.589 rounded to the nearest hundredth is 1.59.

9. Answer :

The digit at thousandths place is in 12.3051 is 5.

The digit at ten thousandths place in 12.3051 is 1, which is less than 5.

So, keep the digit 5 at thousandths place as it is and drop the digit 1 at ten thousandths place.

Therefore, 12.3051 rounded to the nearest thousandths is 12.305.

10. Answer :

The digit at ten thousandths place is in 9.46816 is 1.

The digit at hundred thousandths place in 9.46816 is 6, which is greater than 5.

So, add 1 to the digit 1 at ten thousandths place and drop the digit 6 at hundred thousandths place.

Therefore, 9.46816 rounded to the nearest ten thousandth is 9.4682.

11. Answer :

Formula for circumference of a circle :

= 2πr

Substitute π ≈ 3.14 and r = 12.5.

≈ 2(3.14)(12.5)

= 78.5

78.5 has to be rounded to the nearest whole number.

The first digit to the right of the decimal point is 5.

So, add 1 to the digit 8 at tens place in the whole number part and drop the decimal point and the digit 5 to the right of it. 

Then, 78.5 rounded to the nearest whole number is 79.

Therefore, the circumference of the circular  ring is about 79 cm.

12. Answer :

Formula for area of a circle :

= πr²

Substitute π ≈ 3.14 and r = 2.75.

≈ (3.14)(2.75)²

= (3.14)(7.5625)

= 23.74625

23.74625 has to be rounded to the nearest hundredth.

The digit at thousandths place in 23.74625 is 6, which is greater than 5.

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

23.74625 rounded to the nearest hundredth is 23.75

Therefore, the area of the circular shaped garden is about 23.75 m².

13. Answer :

Number of students using mobile phone :

= 92% of 3528

= (92/100) x 3528

= 0.92 x 3528

= 3245.76

Number of students must always be a whole number.

So, 3245.76 has to be rounded to the nearest whole number.

In 3245.76, the first digit to the right of the decimal point is 7, which is greater than 5.  

So, add 1 to the digit 5 at ones place in the whole number part and drop the decimal point and all the digits to the right of it.

3245.76 rounded to the nearest whole number is 3246.

Out of 3528 students in the university, about 3246 students are using mobile phones.

14. Answer :

Let P = 5.55 and Q = 2.45.

The difference between P and Q :

= 5.55 - 2.45

= 3.1

Given : P is rounded to the nearest tenth and the resulting number is R. The second number Q is also rounded to the nearest tenth and the resulting number is S.

Then, R = 5.6 and S = 2.5.

The difference between R and S :

= 5.6 - 2.5

= 3.1

The difference between P and Q and the difference between R and S are same.

Yes, it is possible to have the difference between P and Q and the difference between R and S same.

15. Answer :

A number is rounded to the nearest thousandth and it is 0.004. Write down 10 different possible numbers that they could be rounded.

0.0035

0.0036

0.0037

0.0038

0.0039

0.0040

0.0041

0.0042

0.0043

0.0044

Practice Questions

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