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Calcula el producto: [tex]172 \times 49[/tex]

Answer :

To calculate the product of 172 and 49, you can follow these steps:

1. Break down the problem: It can be easier to multiply using simpler components. We can use the distributive property of multiplication.

2. Expression: Express 49 as [tex]\( 50 - 1 \)[/tex]. So the problem becomes:
[tex]\[
172 \times 49 = 172 \times (50 - 1)
\][/tex]

3. Distribute 172: Apply the distributive property:
[tex]\[
172 \times 49 = (172 \times 50) - (172 \times 1)
\][/tex]

4. Calculate each part:
- Multiply 172 by 50:
[tex]\[
172 \times 50 = 8600
\][/tex]
- Multiply 172 by 1:
[tex]\[
172 \times 1 = 172
\][/tex]

5. Subtract the two results:
[tex]\[
8600 - 172 = 8428
\][/tex]

Therefore, the product of 172 and 49 is 8428.

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