SME
Grade 6 Math · Problem type
Multiply decimals
Use this for “Find the value of (0.052)(0.36),” or 2.35 × 1.4.
Diagram
2.35 × 1.4: 2 + 0.3 + 0.05 + 0.8 + 0.12 + 0.02 = 3.29.
This is an example. Type your own values to start a new problem.
a
×
b
=
p
Formulas
2.35 × 1.4 = 3.29
First factor × second factor = product
Assumptions
•
Multiply without the points, then count the decimal places in both factors.
•
The product has that many decimal places, before end zeros are dropped: 3.290 = 3.29.
•
Factors to three decimal places.
Step-by-step
WE KNOW
First factor: 2.35
Second factor: 1.4
FIND
product
Step 1 · Find product
2.35 × 1.4 = ?
First factor × second factor = product
Multiply as whole numbers. Then count the decimal places in both factors.
1
2
2.
3
5
×
1.
4
9
4
0
+
2
3
5
0
3.
2
9
0
235 × 14 = 3,290
2 + 1 = 3 decimal places: 3,290 ÷ 1,000 = 3.29
Product = 3.29
Check
Put the numbers back in. Both sides should match.
2.35 × 1.4 = 3.29 ✓
Topic check
See what you know: 5 questions on this topic
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Related lessons
Compute with multi-digit numbers and decimals
Main lesson
Divide multi-digit numbers with a remainder
Use this for “1,431 ÷ 99 = ?” when it doesn’t come out even: 14 remainder 45.
Add and subtract decimals
Use this for “$18.25 − $6.40,” or 9.3 − 4.56.
Divide by a decimal
Use this for “3.6 ÷ 1.2”: make the divisor whole, then divide.