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Find the product.

{:[98.6 ×2.3],[226.49]:}

$8$ . Find the product. $\newline$ $\begin{array}{l} 98.6 \times 2.3 \\ 226.49 \end{array}$

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Sine and cosine of complementary angles

Full solution

Q.

8

. Find the product.

\newline

\begin{array}{l} 98.6 \times 2.3 \\ 226.49 \end{array}

Multiply Whole Numbers: First, let's multiply the whole numbers, ignoring the decimal points for now. So we multiply $986$ by $23$ .
Calculate Total Decimal Places: $986 \times 23 = 22678$
Insert Decimal Point: Now we count the total number of decimal places in the numbers we're multiplying. There's one decimal place in $98.6$ and one in $2.3$ , so that's $2$ decimal places total.
Insert Decimal Point: Now we count the total number of decimal places in the numbers we're multiplying. There's one decimal place in $98.6$ and one in $2.3$ , so that's $2$ decimal places total.We need to put the decimal point back in the answer. Since we have $2$ decimal places in total, we move the decimal point two places to the left in our result.
Insert Decimal Point: Now we count the total number of decimal places in the numbers we're multiplying. There's one decimal place in $98.6$ and one in $2.3$ , so that's $2$ decimal places total.We need to put the decimal point back in the answer. Since we have $2$ decimal places in total, we move the decimal point two places to the left in our result.So, $22678$ becomes $226.78$ .

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