Question

name:
date:
score:
calculate each product. use the grid to help you line up the numbers.
60
× 17

62
× 56

58
× 46

50
× 17

59
× 27

60
× 42

42
× 59

56
× 20

88
× 98

96
× 84

24
× 59

41
× 16

93
× 51

48
× 92

38
× 71

34
× 40

91
× 39

72
× 30

95
× 51

70
× 31

Explanation:

Let's solve one of the multiplication problems, say \( 60\times17 \):

Step1: Break down the multiplication

We can use the distributive property: \( 60\times17 = 60\times(10 + 7) \)

Step2: Distribute the multiplication

\( 60\times10 + 60\times7 \)

Step3: Calculate each part

\( 60\times10 = 600 \) and \( 60\times7 = 420 \)

Step4: Add the results

\( 600 + 420 = 1020 \)

Now another one, \( 62\times56 \):

Step1: Break into parts

\( 62\times56=(60 + 2)\times(50 + 6) \)

Step2: Use distributive property (FOIL)

\( 60\times50+60\times6 + 2\times50+2\times6 \)

Step3: Calculate each term

\( 60\times50 = 3000 \), \( 60\times6 = 360 \), \( 2\times50 = 100 \), \( 2\times6 = 12 \)

Step4: Add all terms

\( 3000+360 + 100+12=3472 \)

For \( 58\times46 \):

Step1: Rewrite as \( (50 + 8)\times(40 + 6) \)

Step2: Distribute

\( 50\times40+50\times6 + 8\times40+8\times6 \)

Step3: Calculate each product

\( 50\times40 = 2000 \), \( 50\times6 = 300 \), \( 8\times40 = 320 \), \( 8\times6 = 48 \)

Step4: Sum the results

\( 2000+300 + 320+48 = 2668 \)

For \( 50\times17 \):

Step1: Distribute \( 50\times(10 + 7) \)

Step2: Calculate each part

\( 50\times10 = 500 \), \( 50\times7 = 350 \)

Step3: Add

\( 500+350 = 850 \)

For \( 59\times27 \):

Step1: Rewrite as \( (60 - 1)\times27 \)

Step2: Distribute

\( 60\times27-1\times27 \)

Step3: Calculate each part

\( 60\times27 = 1620 \), \( 1\times27 = 27 \)

Step4: Subtract

\( 1620 - 27 = 1593 \)

For \( 60\times42 \):

Step1: Distribute \( 60\times(40 + 2) \)

Step2: Calculate each part

\( 60\times40 = 2400 \), \( 60\times2 = 120 \)

Step3: Add

\( 2400+120 = 2520 \)

For \( 42\times59 \):

Step1: Rewrite as \( 42\times(60 - 1) \)

Step2: Distribute

\( 42\times60-42\times1 \)

Step3: Calculate each part

\( 42\times60 = 2520 \), \( 42\times1 = 42 \)

Step4: Subtract

\( 2520 - 42 = 2478 \)

For \( 56\times20 \):

Step1: Multiply directly (since \( 20 = 2\times10 \))

\( 56\times2\times10 \)

Step2: Calculate \( 56\times2 = 112 \)

Step3: Multiply by 10

\( 112\times10 = 1120 \)

For \( 88\times98 \):

Step1: Rewrite as \( 88\times(100 - 2) \)

Step2: Distribute

\( 88\times100-88\times2 \)

Step3: Calculate each part

\( 88\times100 = 8800 \), \( 88\times2 = 176 \)

Step4: Subtract

\( 8800 - 176 = 8624 \)

For \( 96\times84 \):

Step1: Rewrite as \( (100 - 4)\times84 \)

Step2: Distribute

\( 100\times84-4\times84 \)

Step3: Calculate each part

\( 100\times84 = 8400 \), \( 4\times84 = 336 \)

Step4: Subtract

\( 8400 - 336 = 8064 \)

For \( 24\times59 \):

Step1: Rewrite as \( 24\times(60 - 1) \)

Step2: Distribute

\( 24\times60-24\times1 \)

Step3: Calculate each part

\( 24\times60 = 1440 \), \( 24\times1 = 24 \)

Step4: Subtract

\( 1440 - 24 = 1416 \)

For \( 41\times16 \):

Step1: Rewrite as \( (40 + 1)\times16 \)

Step2: Distribute

\( 40\times16+1\times16 \)

Step3: Calculate each part

\( 40\times16 = 640 \), \( 1\times16 = 16 \)

Step4: Add

\( 640 + 16 = 656 \)

For \( 93\times51 \):

Step1: Rewrite as \( 93\times(50 + 1) \)

Step2: Distribute

\( 93\times50+93\times1 \)

Step3: Calculate each part

\( 93\times50 = 4650 \), \( 93\times1 = 93 \)

Step4: Add

\( 4650 + 93 = 4743 \)

For \( 48\times92 \):

Step1: Rewrite as \( 48\times(90 + 2) \)

Step2: Distribute

\( 48\times90+48\times2 \)

Step3: Calculate each part

\( 48\times90 = 4320 \), \( 48\times2 = 96 \)

Step4: Add

\( 4320 + 96 = 4416 \)

For \( 38\times71 \):

Step1: Rewrite as \( 38\times(70 + 1) \)

Step2: Distribute

\( 38\times70+38\times1 \)

Step3: Calculate each part

\( 38\times70 = 2660 \), \( 3…

Answer:

s (for each problem in order):

1. \( 60\times17 = 1020 \)
2. \( 62\times56 = 3472 \)
3. \( 58\times46 = 2668 \)
4. \( 50\times17 = 850 \)
5. \( 59\times27 = 1593 \)
6. \( 60\times42 = 2520 \)
7. \( 42\times59 = 2478 \)
8. \( 56\times20 = 1120 \)
9. \( 88\times98 = 8624 \)
10. \( 96\times84 = 8064 \)
11. \( 24\times59 = 1416 \)
12. \( 41\times16 = 656 \)
13. \( 93\times51 = 4743 \)
14. \( 48\times92 = 4416 \)
15. \( 38\times71 = 2698 \)
16. \( 34\times40 = 1360 \)
17. \( 91\times39 = 3549 \)
18. \( 72\times30 = 2160 \)
19. \( 95\times51 = 4845 \)
20. \( 70\times31 = 2170 \)