SME
Grade 4 Math · Number & Base Ten
Multiply by one-digit and two-digit numbers
Use this for “Find the product of 4,327 and 6” with partial products.
Diagram
4,327 × 6: 24,000 + 1,800 + 120 + 42 = 25,962.
This is an example. Type your own values to start a new problem.
First factor
×
Second factor
=
Product
Formulas
4,327 × 6 = 25,962
First factor × second factor = product
Assumptions
•
Break the first factor into its places: 4,327 = 4,000 + 300 + 20 + 7.
•
Multiply each place by the second factor, then add the partial products.
•
The area model draws each partial product as a box.
•
Check with an estimate: round the first factor to its biggest place.
Step-by-step
WE KNOW
First factor: 4,327
Second factor: 6
FIND
product
Step 1 · Find product
4,327 × 6 = ?
First factor × second factor = product
Break the factors into places. Multiply every part, then add the partial products.
4
3
2
7
×
6
4
2
7 × 6
1
2
0
20 × 6
1
8
0
0
300 × 6
2
4
0
0
0
4,000 × 6
2
5
9
6
2
4,327 = 4,000 + 300 + 20 + 7
Product = 25,962 (about 4,000 × 6 = 24,000)
Check
Put the numbers back in. Both sides should match.
4,327 × 6 = 25,962 ✓
Topic check
See what you know: 5 questions on this topic
New questions each time. Pass to mark it complete.