Question

practice problems 2.5
round to the nearest whole number.

1. 49.16 2. 87.8 3. 0.7

round to the nearest tenth place.

1. 151.332 5. 7.85 6. 63.971

round to the nearest hundredth place.

1. 5.345 8. 0.899 9. 211.041

round to the nearest thousandth place.

1. 7 11. 2,485.0764 12. 1.9899

did any of the questions above give you difficulty? let’s look at number 6. the directions said to round to the nearest tenth place so we need to look at the hundredths place. the number was 63.971, so we need to look at the 7. since 7 is greater than or equal to 5 we must round the number in the tenths place up. however, in this case the number to be rounded up is a 9. look at the example below:

Explanation:

Step1: Round 49.16 to whole number

Look at tenths digit (1 < 5), keep whole number: $49$

Step2: Round 87.8 to whole number

Look at tenths digit (8 ≥ 5), add 1 to whole number: $87 + 1 = 88$

Step3: Round 0.7 to whole number

Look at tenths digit (7 ≥ 5), add 1 to whole number: $0 + 1 = 1$

Step4: Round 151.332 to nearest tenth

Look at hundredths digit (3 < 5), keep tenths digit: $151.3$

Step5: Round 7.85 to nearest tenth

Look at hundredths digit (5 ≥ 5), add 1 to tenths digit: $7.8 + 0.1 = 7.9$

Step6: Round 63.971 to nearest tenth

Look at hundredths digit (7 ≥ 5), add 1 to tenths digit (9 becomes 10, carry over): $63.9 + 0.1 = 64.0$

Step7: Round 5.345 to nearest hundredth

Look at thousandths digit (5 ≥ 5), add 1 to hundredths digit: $5.34 + 0.01 = 5.35$

Step8: Round 0.899 to nearest hundredth

Look at thousandths digit (9 ≥ 5), add 1 to hundredths digit (9 becomes 10, carry over): $0.89 + 0.01 = 0.90$

Step9: Round 211.041 to nearest hundredth

Look at thousandths digit (1 < 5), keep hundredths digit: $211.04$

Step10: Round 7 to nearest thousandth

Add decimal zeros: $7.000$

Step11: Round 2,485.0764 to nearest thousandth

Look at ten-thousandths digit (4 < 5), keep thousandths digit: $2485.076$

Step12: Round 1.9899 to nearest thousandth

Look at ten-thousandths digit (9 ≥ 5), add 1 to thousandths digit (9 becomes 10, carry over): $1.989 + 0.001 = 1.990$

Answer:

1. $49$
2. $88$
3. $1$
4. $151.3$
5. $7.9$
6. $64.0$
7. $5.35$
8. $0.90$
9. $211.04$
10. $7.000$
11. $2485.076$
12. $1.990$