5th grade · Math · Unit 2 of 14
Multiply
Multiply up to three digits
What your child practices
Multiplying 2- and 3-digit numbers using area models and partial products, patterns with 10, 100 and 1000, doubling and halving, and estimating products by rounding.
Maine Learning Results learning standard: 5.NBT.B.5 · fluently multiplying multi-digit whole numbers
How we explain it
Children can open this short lesson before they practice.
- Break the bigger number into place values.
- Multiply each part, then add the parts together.
- Estimate by rounding to check your answer makes sense.
Example: 23 × 14 = ? 23 × 10 = 230. 23 × 4 = 92. 230 + 92 = 322. Answer: 322
Multiply in Maine
In the Maine Learning Results, this is unit 2 of 14 in 5th grade Math, after Numbers to a Million and before Divide.
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: Maine 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
Use the area model. What is 12 × 36?
Area model for 12 × 36 × 10 2 30 300 60 6 60 12 answer box
432
Hint: Each box holds a partial product. Add all the partial products inside the model to get the total.
Question 2
Which has the same product as 50 × 28?
- 100 × 28
- 52 × 26
- 50 × 14
- 100 × 14
100 × 14
Hint: Doubling one factor and halving the other keeps the product the same. Check that only one factor was doubled and the other was halved.
Question 3
Multiply using a pattern.
238 × 100 = ?
answer box
23800
Hint: Multiply the non-zero parts first, then write all the zeros from the factors on the end.
Question 4
Round each factor to the nearest ten. What is the estimate for 31 × 72?
- 2100
- 2800
- 21,000
- 210
2100
Hint: Round first, then multiply the friendly numbers: multiply the non-zero digits and attach the zeros.
Question 5
Which product is the greatest?
- 47 × 28
- 47 × 22
- 39 × 24
- 30 × 12
47 × 28
Hint: Estimate each product with friendly numbers. If two estimates are close, work those out exactly.
Question 6
A delivery van drives 22 km every day. How far does it drive in 76 days?
answer boxkm
1672 km
Hint: Equal groups mean multiply. Split one factor into place-value parts, multiply each part, then add.