Decimal place value worksheet

Part A: Working out and filling in

1. 1. In 5.597, the 7 is worth 0.007

   In 5.597 the 7 is in the thousandths, worth 7 × 0.001: 7 × 0.001 = 0.007

2. 2. In 4.296, the 9 is worth 0.09

   In 4.296 the 9 is in the hundredths, worth 9 × 0.01: 9 × 0.01 = 0.09

3. 3. Min of 5.074, 5.666, 5.7 = 5.074

   Add zeros so all have three places: 5.074, 5.666, 5.700, the same as all × 1000: 5.074 × 1000 = 5074, 5.666 × 1000 = 5666, 5.7 × 1000 = 5700; the smallest is 5.074

4. 4. 4 × 0.01 and 5 × 0.001 = 0.045

   Write each place, 0 where there's none: ones 0, tenths 0, hundredths 4, thousandths 5; 0.04 + 0.005 = 0.045

5. 5. 1.699: hundredths digit = 9

   1.699: after the point come the tenths, then the hundredths, then the thousandths; the hundredths hold 9 × 0.01: 9 × 0.01 = 0.09, so the digit is 9

6. 6. Min of 5.84, 5.08, 5.727 = 5.08

   Add zeros so all have three places: 5.840, 5.080, 5.727, the same as all × 1000: 5.84 × 1000 = 5840, 5.08 × 1000 = 5080, 5.727 × 1000 = 5727; the smallest is 5.08

7. 7. 5 × 1 and 2 × 0.01 = 5.02

   Write each place, 0 where there's none: ones 5, tenths 0, hundredths 2, thousandths 0; 5 + 0.02 = 5.02

8. 8. In 8.67, the 7 is worth 0.07

   In 8.67 the 7 is in the hundredths, worth 7 × 0.01: 7 × 0.01 = 0.07

9. 9. 9.321: hundredths digit = 2

   9.321: after the point come the tenths, then the hundredths, then the thousandths; the hundredths hold 2 × 0.01: 2 × 0.01 = 0.02, so the digit is 2

10. 10. In 1.24, the 4 is worth 0.04

    In 1.24 the 4 is in the hundredths, worth 4 × 0.01: 4 × 0.01 = 0.04

11. 11. In 2.598, the 5 is worth 0.5

    In 2.598 the 5 is in the tenths, worth 5 × 0.1: 5 × 0.1 = 0.5

12. 12. 9.614: tenths digit = 6

    9.614: after the point come the tenths, then the hundredths, then the thousandths; the tenths hold 6 × 0.1: 6 × 0.1 = 0.6, so the digit is 6

Part B: Word problems

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

1. 13. A decimal has 1 in the ones place, 9 in the tenths place and 3 in the hundredths place. What is the decimal? (Answer: 1.93)

   1 + 9 ÷ 10 + 3 ÷ 100 = 1.93

2. 14. Four pupils ran 50 m in 9.5 s, 12 s, 11.8 s and 8.2 s. How many seconds did the fastest pupil take? (Answer: 8.2 s)

3. 15. Tsz-ching is 1.34 m tall. What digit is in the hundredths place of this number? (Answer: 4)

4. 16. Four pupils ran 50 m in 10.2 s, 10.8 s, 11.7 s and 9.3 s. How many seconds did the fastest pupil take? (Answer: 9.3 s)

5. 17. May is 1.53 m tall. What digit is in the hundredths place of this number? (Answer: 3)

6. 18. Chi-keung adds up 64 lots of 0.1. What is the total? (Answer: 6.4)

   64 ÷ 10 = 6.4