(a) 25 × 12 = _
(b) 25 × 240 = _
(c) 250 × 120 = _
(d) 2500 × 12 = _
(e) _ × _ = 120000000
How Long is the Product?
11 × 11 = _
111 × 111 = _
1111 × 1111 = _
66 × 61 = _
666 × 661 = _
6666 × 6661 = _
3 × 5 = _
33 × 35 = _
333 × 335 = _
101 × 101 = _
102 × 102 = _
103 × 103 = _
Answer (2)
Let's calculate the multiplication problems step-by-step.
(a) 25 × 12 :
To solve this, you multiply 25 by 12.
Break it down: 25 is the same as 20 + 5 .
Multiply each separately:
20 × 12 = 240
5 × 12 = 60
Add them together:
240 + 60 = 300
(b) 25 × 240 :
Using the distributive property:
25 × ( 200 + 40 )
25 × 200 = 5000
25 × 40 = 1000
Add the products:
5000 + 1000 = 6000
(c) 250 × 120 :
Break it down:
250 × 100 = 25000
250 × 20 = 5000
Add them together:
25000 + 5000 = 30000
(d) 2500 × 12 :
Break it down:
2500 × 10 = 25000
2500 × 2 = 5000
Add them together:
25000 + 5000 = 30000
(e) _ × _ = 120000000 :
One way to reach 120,000,000 is by multiplying 1200 × 100000 .
How Long is the Product?
11 × 11 = 121
111 × 111 = 12321
1111 × 1111 = 1234321
66 × 61 = 4026
666 × 661 = 440226
6666 × 6661 = 44434226
3 × 5 = 15
33 × 35 = 1155
333 × 335 = 111555
101 × 101 = 10201
102 × 102 = 10404
103 × 103 = 10609
These problems involve simple multiplication and pattern recognition, helping to develop familiarity with calculating products and recognizing numerical patterns.
The products calculated are as follows: (a) 300, (b) 6000, (c) 30000, (d) 30000, and for (e) one example is 1200 × 100000. The lengths of products for the other multiplications vary, demonstrating increasing patterns. Each multiplication shows step-by-step breakdowns to illustrate the calculations clearly.
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