5th grade · Math · Unit 2 of 12
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.
Minnesota K-12 Academic Standards benchmark: 5.3.5.1 · multiplying multi-digit 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 Minnesota
In the Minnesota K-12 Academic Standards, this is unit 2 of 12 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.
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
Multiply using a pattern.
43 × 10 = ?
answer box
430
Hint: Multiply the non-zero parts first, then write all the zeros from the factors on the end.
Question 2
A school orders 87 boxes of pencils with 36 pencils in each box. How many pencils is that?
answer boxpencils
3132 pencils
Hint: Equal groups mean multiply. Split one factor into place-value parts, multiply each part, then add.
Question 3
Which product is the greatest?
- 12 × 17
- 23 × 18
- 48 × 38
- 49 × 21
48 × 38
Hint: Estimate each product with friendly numbers. If two estimates are close, work those out exactly.
Question 4
Multiply.
344 × 4 = ?
answer box
1376
Hint: Split 344 into place-value parts (300 + 40 + 4). Multiply each part by 4, then add the partial products.
Question 5
Which has the same product as 25 × 18?
- 50 × 36
- 50 × 18
- 50 × 9
- 27 × 16
50 × 9
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 6
Use the area model. What is 66 × 28?
Area model for 66 × 28 × 60 6 20 1200 120 8 480 48 answer box
1848
Hint: Each box holds a partial product. Add all the partial products inside the model to get the total.