Multiplying and dividing decimals: Class 7 practice
Multiply decimals as whole numbers, then place the point so the answer has as many decimal places as the two factors together. Read the method, follow the three worked examples, then try the six questions.
What you should know first
- Multiplication of whole numbers
- Place value
The idea behind multiplying and dividing decimals
Multiply decimals as whole numbers, then place the point so the answer has as many decimal places as the two factors together. To divide by a decimal, multiply both numbers by 10, 100… until the divisor is whole.
Step-by-step method
- Ignore the points and multiply (or shift the divisor to a whole number).
- Count total decimal places.
- Place the point in the answer.
Worked example 1 (Basic)
Work out 3 × 3.
- Multiply without points
- Total decimal places: 2
- = 9
- Answer: 9
Worked example 2 (Standard)
Work out 1.9 × 0.84.
- Multiply without points
- Total decimal places: 3
- = 1.596
- Answer: 1.596
Worked example 3 (Challenge)
Work out 12 ÷ 0.8.
- Multiply both by 10: 120 ÷ 8
- = 15
- Answer: 15
Common mistakes and misconceptions
- Placing the point by lining up
- Shifting only the divisor's point
Practice questions
- (Basic) Work out 1.3 × 6.5.
- (Basic) Work out 7 × 4.
- (Standard) Work out 3.1 × 0.4.
- (Standard) Work out 1.2 × 0.85.
- (Challenge) Work out 3.6 ÷ 0.2.
- (Challenge) Work out 11.7 ÷ 0.9.
Answer key with full working
- Q1: Multiply without points → Total decimal places: 2 → = 8.45 → Answer: 8.45
- Q2: Multiply without points → Total decimal places: 2 → = 28 → Answer: 28
- Q3: Multiply without points → Total decimal places: 3 → = 1.24 → Answer: 1.24
- Q4: Multiply without points → Total decimal places: 3 → = 1.02 → Answer: 1.02
- Q5: Multiply both by 10: 36 ÷ 2 → = 18 → Answer: 18
- Q6: Multiply both by 10: 117 ÷ 9 → = 13 → Answer: 13
Syllabus note
This skill is listed under "Fractions and Decimals" for Class 7 in the NCERT/CBSE books. ICSE, IGCSE, IB and state boards may teach it in a different chapter or year.
Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.
Related practice and notes
Frequently asked questions
Which chapter is multiplying and dividing decimals in?
"Fractions and Decimals", Class 7 Maths (NCERT/CBSE). Other boards may place it differently.
How were the answers checked?
Answers on this page are generated and automatically re-checked by a second, independent calculation. They have not been reviewed by a teacher — if you spot a problem, tell us on WhatsApp.