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The product
178 ×86 equals 15,308 .
Use the previous fact to evaluate as a decimal.

17.8 ×8.6=

The product $178 \times 86$ equals $15,308$ . $\newline$ Use the previous fact to evaluate as a decimal. $\newline$ $17.8 \times 8.6=$

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Evaluate logarithms using properties

Full solution

Q. The product

178 \times 86

equals

15,308

.

\newline

Use the previous fact to evaluate as a decimal.

\newline

17.8 \times 8.6=

Given fact without decimal places: We are given that $178 \times 86$ equals $15,308$ . To find the product of $17.8$ and $8.6$ , we can use this fact and adjust for the decimal places. $\newline$ First, let's consider the given fact without the decimal places: $178 \times 86 = 15,308$ .
Introducing decimal places: Now, let's introduce the decimal places back into the numbers. Since $17.8$ is ten times smaller than $178$ and $8.6$ is ten times smaller than $86$ , we need to divide the product by $100$ (which is $10$ times $10$ ) to get the correct answer for $17.8 \times 8.6$ .
Dividing the product: Divide the product $15,308$ by $100$ to account for the two decimal places in the original numbers: $15,308 \div 100 = 153.08$ .
Final product: The product of $17.8$ and $8.6$ is therefore $153.08$ .

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