Let's solve the multiplication problems on this worksheet using the
"Multiplying by parts" method. This technique involves breaking down one of the numbers into simpler parts (usually tens and ones), multiplying each part separately, and then adding the results.
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🔷 Example:
Let’s take problem
1: 6 × 98
We break
98 into
90 + 8:
- 6 × 90 = 540
- 6 × 8 = 48
- Add them: 540 + 48 =
588
So,
6 × 98 = 588
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Now let's solve all the problems step-by-step using this method:
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✔ Solutions:
1.
6 × 98
= 6 × (90 + 8)
= (6 × 90) + (6 × 8)
= 540 + 48 =
588
2.
5 × 94
= 5 × (90 + 4)
= (5 × 90) + (5 × 4)
= 450 + 20 =
470
3.
9 × 107
= 9 × (100 + 7)
= (9 × 100) + (9 × 7)
= 900 + 63 =
963
4.
6 × 90
= 6 × 90 =
540
(No need to break down since it's already a multiple of 10)
5.
9 × 91
= 9 × (90 + 1)
= (9 × 90) + (9 × 1)
= 810 + 9 =
819
6.
7 × 92
= 7 × (90 + 2)
= (7 × 90) + (7 × 2)
= 630 + 14 =
644
7.
6 × 100
= 6 × 100 =
600
8.
8 × 97
= 8 × (90 + 7)
= (8 × 90) + (8 × 7)
= 720 + 56 =
776
9.
4 × 100
= 4 × 100 =
400
10.
8 × 92
= 8 × (90 + 2)
= (8 × 90) + (8 × 2)
= 720 + 16 =
736
11.
5 × 92
= 5 × (90 + 2)
= (5 × 90) + (5 × 2)
= 450 + 10 =
460
12.
5 × 100
= 5 × 100 =
500
13.
7 × 99
= 7 × (90 + 9)
= (7 × 90) + (7 × 9)
= 630 + 63 =
693
14.
8 × 106
= 8 × (100 + 6)
= (8 × 100) + (8 × 6)
= 800 + 48 =
848
15.
3 × 106
= 3 × (100 + 6)
= (3 × 100) + (3 × 6)
= 300 + 18 =
318
16.
5 × 96
= 5 × (90 + 6)
= (5 × 90) + (5 × 6)
= 450 + 30 =
480
17.
7 × 108
= 7 × (100 + 8)
= (7 × 100) + (7 × 8)
= 700 + 56 =
756
18.
5 × 93
= 5 × (90 + 3)
= (5 × 90) + (5 × 3)
= 450 + 15 =
465
19.
3 × 99
= 3 × (90 + 9)
= (3 × 90) + (3 × 9)
= 270 + 27 =
297
20.
8 × 93
= 8 × (90 + 3)
= (8 × 90) + (8 × 3)
= 720 + 24 =
744
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✔ Final Answers:
1.
588
2.
470
3.
963
4.
540
5.
819
6.
644
7.
600
8.
776
9.
400
10.
736
11.
460
12.
500
13.
693
14.
848
15.
318
16.
480
17.
756
18.
465
19.
297
20.
744
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📝 Summary:
The "Multiplying by Parts" strategy helps students understand multiplication as repeated addition and builds number sense. By breaking larger numbers into tens and ones (or hundreds), we make complex multiplications easier to compute mentally or on paper.
Let me know if you'd like this formatted as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of math worksheet for 6.
