Dividing by 10 and 100 worksheet

Part A: Working out and filling in

1. 1. 18.2

   Dividing by 10 moves every digit of 182 down one place. Which way does the point move, and how far?

   Dividing by 10 moves the point one place left: 182 ÷ 10 = 18.2.

2. 2. 9.05

   Put the point just after the ones digit of 905, then move it two places left.

   Dividing by 100 moves the point two places left, with 0s in front if needed and none left at the end: 905 ÷ 100 = 9.05.

3. 3. 8.77

   Put the point just after the ones digit of 877, then move it two places left.

   Dividing by 100 moves the point two places left, with 0s in front if needed and none left at the end: 877 ÷ 100 = 8.77.

4. 4. 416

   Think backwards: □ is 100 times 4.16. Which way does the point move, and how far?

   Think backwards: 4.16 × 100 = 416, the point moved two places right.

5. 5. 8.2, 0.82

   ÷ 10 moves the point one place left, ÷ 100 two places. Both start from just after the ones digit of 82.

   ÷ 10 moves the point one place left: 8.2; ÷ 100 two places: 0.82.

6. 6. 711

   Think backwards: □ is 100 times 7.11. Which way does the point move, and how far?

   Think backwards: 7.11 × 100 = 711, the point moved two places right.

Part B: Choose, or true or false

1. 7. C. 7.24

   Dividing by 100 moves the point two places left. Start by finding where the point sits in 724.

   Dividing by 100 moves the point two places left: 724 ÷ 100 = 7.24.

2. 8. True

   For 125 ÷ 100, how many places left should the point move? Now see how far it has moved in 1.25.

   Dividing by 100 moves the point two places left: 125 ÷ 100 = 1.25.

3. 9. False

   For 774 ÷ 100, how many places left should the point move? Now see how far it has moved in 77.4.

   Dividing by 100 moves the point two places left: 774 ÷ 100 = 7.74.

4. 10. D. 5.96

   Dividing by 100 moves the point two places left. Start by finding where the point sits in 596.

   Dividing by 100 moves the point two places left: 596 ÷ 100 = 5.96.

5. 11. A. Ones

   Dividing by 100 moves every digit down two places. Which place is 3 in, in 389?

   Dividing by 100 moves every digit down two places: hundreds to ones, tens to tenths, ones to hundredths. See where 3 is in 3.89.

6. 12. D. Tenths

   Dividing by 100 moves every digit down two places. Which place is 8 in, in 589?

   Dividing by 100 moves every digit down two places: hundreds to ones, tens to tenths, ones to hundredths. See where 8 is in 5.89.

Part C: Word problems

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

1. 13. 0.85 mm

   One sheet is 85 ÷ 100 mm thick. If there aren't enough digits, put 0s in front.

   85 ÷ 100: not enough digits, so 0s go in front: 0.85 mm.

2. 14. 4.61 dollars

   Each ride is 461 ÷ 100. How many places left does the point move?

   461 ÷ 100 moves the point two places left: $4.61.

3. 15. 27.5 dollars

   10 cups cost $275, so one cup is 275 ÷ 10. How many places left does the point move?

   275 ÷ 10 = 27.5: $27.5 a cup.

4. 16. 95.1 dollars

   Sharing among 10 means 951 ÷ 10. Which way does the point move, and how far?

   951 ÷ 10 moves the point one place left: $95.1.

5. 17. 4.06 cm

   Cutting into 100 pieces means dividing 406 by 100. How many places does the point move?

   406 ÷ 100 moves the point two places left: 4.06 cm.

6. 18. 37.5 dollars

   10 cups cost $375, so one cup is 375 ÷ 10. How many places left does the point move?

   375 ÷ 10 = 37.5: $37.5 a cup.