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Estimate the product. Then multiply.

1. Estimate: [tex]293 \times 118 \approx[/tex]

2. Multiply: [tex]293 \times 118 =[/tex]

Answer :

Sure! Let's go through the steps to solve this problem.

1. Estimate the Product:
To make the multiplication easier, we start by rounding each of the numbers.
- Round 293 to the nearest hundred: It's closer to 300.
- Round 118 to the nearest ten: It's closer to 120.

Now, we estimate the product by multiplying these rounded numbers:
[tex]\[
300 \times 120 = 36000
\][/tex]
So, the estimated product is 36,000.

2. Calculate the Exact Product:
Next, we find the exact multiplication without rounding:
[tex]\[
293 \times 118
\][/tex]

By calculating this multiplication step by step (by multiplying the digits of each number and adding up the results), we find that the exact product is 34,574.

Thus, for the product of 293 and 118:
- The estimated product is 36,000.
- The exact product is 34,574.

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