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.
Arizona Academic Standards learning standard: 6.NS.B.3 · adding, subtracting, multiplying and dividing multi-digit 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 Arizona
In the Arizona 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.
Source: Arizona Department of Education
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 4.2 ÷ 5?
4.2 ÷ 5 = ?
answer box
0.84
Hint: Think of 4.2 as 420 hundredths. Divide: 420 ÷ 5 = 84 hundredths. Then write that as a decimal.
Question 2
How many 0.2 L cups can be filled from 4 L of water?
answer box
20
Hint: Divide 4 by 0.2. Multiply both numbers by 10 to get whole numbers first: 40 ÷ 2.
Question 3
What is 2.7 × 0.6?
2.7 × 0.6 = ?
answer box
1.62
Hint: Multiply the whole numbers: 27 × 6 = 162. There are 2 decimal places in the factors altogether, so count 2 places from the right.
Question 4
A 31.2 km relay is split equally among 4 runners. How far does each runner go?
answer boxkm
7.8 km
Hint: Divide the total by 4: 31.2 ÷ 4. Think of 31.2 as 312 tenths to make it easier.
Question 5
Which is the best estimate for 9.87 × 2.3?
- 2000
- 20
- 200
- 2
20
Hint: Round each number to the nearest whole number, then multiply: 10 × 2. Check that the size of the answer makes sense.
Question 6
What is 6.31 × 9?
6.31 × 9 = ?
answer box
56.79
Hint: Multiply as if there were no decimal point: 631 × 9 = 5679. 6.31 has 2 decimal places, so the answer does too.