6th grade · Math · Unit 3 of 17
Decimal × and ÷
Multiply and divide decimals
What your child practices
Multiplying and dividing decimals, estimating to check where the decimal point goes, and solving shopping and measurement problems.
Minnesota K-12 Academic Standards benchmark: 6.3.5.9 · computing with decimals
How we explain it
Children can open this short lesson before they practice.
- Multiply as if there were no decimal points.
- Count the decimal places in the numbers you started with.
- Give your answer that many decimal places.
Example: 0.6 × 4 = ? Ignore the point: 6 × 4 = 24. 0.6 has 1 decimal place. So the answer has 1 decimal place: 2.4. Answer: 2.4
Decimal × and ÷ in Minnesota
In the Minnesota K-12 Academic Standards, this is unit 3 of 17 in 6th grade Math, after Mixed Numbers & Ratios and before Percents & Budgets.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
What is 2.16 × 7?
2.16 × 7 = ?
answer box
15.12
Hint: Multiply as if there were no decimal point: 216 × 7 = 1512. 2.16 has 2 decimal places, so the answer does too.
Question 2
53 × 13 = 689. Use this fact to find 5.3 × 1.3.
53 × 13 = 689
- 689
- 0.689
- 68.9
- 6.89
6.89
Hint: The digits come from 689. Count the decimal places in both factors (2 in total), then move the decimal point in 689 that many places to the left.
Question 3
A 34.4 m ribbon is cut into 8 equal pieces. How long is each piece?
answer boxm
4.3 m
Hint: Divide the total by 8: 34.4 ÷ 8. Think of 34.4 as 344 tenths to make it easier.
Question 4
How many 0.2 L cups can be filled from 1.6 L of water?
answer box
8
Hint: Divide 1.6 by 0.2. Multiply both numbers by 10 to get whole numbers first: 16 ÷ 2.
Question 5
Which is the best estimate for 9.95 × 3.9?
- 4
- 40
- 400
- 4000
40
Hint: Round each number to the nearest whole number, then multiply: 10 × 4. Check that the size of the answer makes sense.
Question 6
What is 2.8 × 0.2?
2.8 × 0.2 = ?
answer box
0.56
Hint: Multiply the whole numbers: 28 × 2 = 56. There are 2 decimal places in the factors altogether, so count 2 places from the right.