Decimals and percentages · Ages 11–12

Dividing decimals worksheet

Part of: Dividing decimals; fractions to decimals

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Decimals and percentages · Ages 11–12

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Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

13.A big bottle holds 4.5 L of soda. It is poured into cups that hold 0.5 L each. How many cups can be filled?
Working:
Answer:
14.A big bottle holds 2.2 L of soda. It is poured into cups that hold 0.2 L each. How many cups can be filled?
Working:
Answer:
15.A piece of cloth 18.4 m long is cut into 4 equal pieces. How long is each piece, in metres?
Answer as a decimal
Working:
Answer:
16.A piece of cloth 17.4 m long is cut into 6 equal pieces. How long is each piece, in metres?
Answer as a decimal
Working:
Answer:
17.Ka-yee bought 6 identical highlighters for $45.6 altogether. How many dollars did each highlighter cost?
Answer as a decimal
Working:
Answer:
18.Ka-yan bought 5 identical highlighters for $17 altogether. How many dollars did each highlighter cost?
Answer as a decimal
Working:
Answer:

Show the answers and working

Dividing decimals worksheet: Answers and working

1. 5.28 ÷ 0.8 = 6.6
5.28 ÷ 0.8: move both points one place right to make the divisor whole: 52.8 ÷ 8 = 6.6
2. 2.16 ÷ 0.08 = 27
2.16 ÷ 0.08: move both points two places right to make the divisor whole: 216 ÷ 8 = 27
3. 60.3 ÷ 9 = 6.7
60.3 ÷ 9: divide as whole numbers, 603 ÷ 9 = 67, then put the point back one place → 6.7
4. 37.5 ÷ 1.5 = 25
37.5 ÷ 1.5: move both points one place right to make the divisor whole: 375 ÷ 15 = 25
5. 26.9 ÷ 0.1 = 269
26.9 ÷ 0.1: ÷ 0.1 moves the point one place right, the same as × 10: 26.9 × 10 = 269
6. 1.4 ÷ 0.07 = 20
1.4 ÷ 0.07: move both points two places right to make the divisor whole: 140 ÷ 7 = 20
7. 0.189 ÷ 0.03 = 6.3
0.189 ÷ 0.03: move both points two places right to make the divisor whole: 18.9 ÷ 3 = 6.3
8. 0.49 ÷ 0.07 = 7
0.49 ÷ 0.07: move both points two places right to make the divisor whole: 49 ÷ 7 = 7
9. 39.9 ÷ 7 = 5.7
39.9 ÷ 7: divide as whole numbers, 399 ÷ 7 = 57, then put the point back one place → 5.7
10. 9.52 ÷ 8 = 1.19
9.52 ÷ 8: divide as whole numbers, 952 ÷ 8 = 119, then put the point back two places → 1.19
11. 8.76 ÷ 0.01 = 876
8.76 ÷ 0.01: ÷ 0.01 moves the point two places right, the same as × 100: 8.76 × 100 = 876
12. 8.1 ÷ 0.9 = 9
8.1 ÷ 0.9: move both points one place right to make the divisor whole: 81 ÷ 9 = 9

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

13. A big bottle holds 4.5 L of soda. It is poured into cups that hold 0.5 L each. How many cups can be filled? (Answer: 9 cups)
4.5 ÷ 0.5 = 9
14. A big bottle holds 2.2 L of soda. It is poured into cups that hold 0.2 L each. How many cups can be filled? (Answer: 11 cups)
2.2 ÷ 0.2 = 11
15. A piece of cloth 18.4 m long is cut into 4 equal pieces. How long is each piece, in metres? (Answer: 4.6 m)
18.4 ÷ 4 = 4.6
16. A piece of cloth 17.4 m long is cut into 6 equal pieces. How long is each piece, in metres? (Answer: 2.9 m)
17.4 ÷ 6 = 2.9
17. Ka-yee bought 6 identical highlighters for $45.6 altogether. How many dollars did each highlighter cost? (Answer: 7.6 dollars)
45.6 ÷ 6 = 7.6
18. Ka-yan bought 5 identical highlighters for $17 altogether. How many dollars did each highlighter cost? (Answer: 3.4 dollars)
17 ÷ 5 = 3.4

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