Worked example
What is 3.6 ÷ 0.6?
Answer & why
Answer: 6
Multiply both numbers by 10 to keep the quotient unchanged: 36 ÷ 6 = 6. Check: 6 × 0.6 = 3.6.
Grade 5 · Math
Divide decimals using equal scaling
Divide exact terminating decimals and explain why scaling both numbers preserves the quotient.
6 authored questions + worked example
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All questions
All 6 authored questions for this skill.
Question 1
What is 2.4 ÷ 0.8?
- 4
- 3
- 2
- 5
A hint
Scale both the dividend and divisor by the same power of 10, then divide.
Answer & why
Answer: 3
Multiply both numbers by 10 to keep the quotient unchanged: 24 ÷ 8 = 3. Check: 3 × 0.8 = 2.4.
Question 2
What is 7.2 ÷ 0.6?
- 13
- 12
- 14
- 11
A hint
Scale both the dividend and divisor by the same power of 10, then divide.
Answer & why
Answer: 12
Multiply both numbers by 10 to keep the quotient unchanged: 72 ÷ 6 = 12. Check: 12 × 0.6 = 7.2.
Question 3
What is 0.9 ÷ 0.6?
- 1.5
- 2.5
- 0.5
- 3.5
A hint
Scale both the dividend and divisor by the same power of 10, then divide.
Answer & why
Answer: 1.5
Multiply both numbers by 10 to keep the quotient unchanged: 9 ÷ 6 = 1.5. Check: 1.5 × 0.6 = 0.9.
Question 4
What is 6.3 ÷ 0.9?
- 9
- 6
- 8
- 7
A hint
Scale both the dividend and divisor by the same power of 10, then divide.
Answer & why
Answer: 7
Multiply both numbers by 10 to keep the quotient unchanged: 63 ÷ 9 = 7. Check: 7 × 0.9 = 6.3.
Question 5
What is 3.6 ÷ 0.6?
- 8
- 6
- 7
- 5
A hint
Scale both the dividend and divisor by the same power of 10, then divide.
Answer & why
Answer: 6
Multiply both numbers by 10 to keep the quotient unchanged: 36 ÷ 6 = 6. Check: 6 × 0.6 = 3.6.
Question 6
What is 4.8 ÷ 1.2?
- 4
- 6
- 3
- 5
A hint
Scale both the dividend and divisor by the same power of 10, then divide.
Answer & why
Answer: 4
Multiply both numbers by 10 to keep the quotient unchanged: 48 ÷ 12 = 4. Check: 4 × 1.2 = 4.8.