You've uploaded a multiplication worksheet with 24 problems, each asking you to multiply two 2-digit numbers. I’ll solve all of them step by step and explain the process.
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## 📌 General Method for Multiplying Two 2-Digit Numbers:
We use the
standard algorithm (also called long multiplication):
1. Multiply the top number by the
units digit of the bottom number.
2. Multiply the top number by the
tens digit of the bottom number, and write this result one place to the left (i.e., add a zero at the end or shift left).
3. Add the two results together.
Alternatively, you can use the
distributive property:
> (a × b) = a × (c + d) = a×c + a×d
> Or: (10x + y) × (10z + w) = 100xz + 10xw + 10yz + yw
But for speed and accuracy, I’ll compute each using standard multiplication.
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##
✔ Solutions:
Row 1:
1.
35 × 40
= 35 × 4 × 10 = 140 × 10 =
1400
2.
21 × 54
= 21 × (50 + 4) = 21×50 + 21×4 = 1050 + 84 =
1134
3.
81 × 99
= 81 × (100 - 1) = 8100 - 81 =
8019
4.
89 × 25
= 89 × 100 ÷ 4 = 8900 ÷ 4 =
2225
*(or: 89×20=1780, 89×5=445 → 1780+445=2225)*
5.
85 × 59
= 85 × (60 - 1) = 5100 - 85 =
5015
6.
81 × 60
= 81 × 6 × 10 = 486 × 10 =
4860
---
Row 2:
7.
16 × 73
= 16×70 + 16×3 = 1120 + 48 =
1168
8.
97 × 78
= 97×(80 - 2) = 97×80 - 97×2 = 7760 - 194 =
7566
9.
39 × 21
= 39×20 + 39×1 = 780 + 39 =
819
10.
57 × 48
= 57×50 - 57×2 = 2850 - 114 =
2736
11.
25 × 67
= 25×60 + 25×7 = 1500 + 175 =
1675
12.
10 × 47
=
470
---
Row 3:
13.
58 × 26
= 58×20 + 58×6 = 1160 + 348 =
1508
14.
41 × 97
= 41×(100 - 3) = 4100 - 123 =
3977
15.
41 × 85
= 41×80 + 41×5 = 3280 + 205 =
3485
16.
10 × 23
=
230
17.
41 × 98
= 41×(100 - 2) = 4100 - 82 =
4018
18.
16 × 74
= 16×70 + 16×4 = 1120 + 64 =
1184
---
Row 4:
19.
54 × 81
= 54×80 + 54×1 = 4320 + 54 =
4374
20.
84 × 36
= 84×30 + 84×6 = 2520 + 504 =
3024
21.
39 × 93
= 39×(90 + 3) = 39×90 + 39×3 = 3510 + 117 =
3627
22.
46 × 68
= 46×70 - 46×2 = 3220 - 92 =
3128
23.
44 × 18
= 44×20 - 44×2 = 880 - 88 =
792
24.
10 × 62
=
620
---
##
✔ Final Answer Key:
Here are all 24 answers in order:
1.
1400
2.
1134
3.
8019
4.
2225
5.
5015
6.
4860
7.
1168
8.
7566
9.
819
10.
2736
11.
1675
12.
470
13.
1508
14.
3977
15.
3485
16.
230
17.
4018
18.
1184
19.
4374
20.
3024
21.
3627
22.
3128
23.
792
24.
620
---
## 💡 Tips for Students:
- For multiplying by 10, 20, 30, etc., just multiply by the non-zero digit and add a zero.
- For numbers like 99 or 98, use the trick: `n × 99 = n × 100 - n`
- Break down numbers: e.g., 57 × 48 = 57 × (50 - 2)
- Always check your work — especially carries and alignment!
Let me know if you want a printable answer sheet or step-by-step visuals for any problem! 😊
Parent Tip: Review the logic above to help your child master the concept of multi digit multiplication worksheet grade 5.
