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Solve the following:

[tex]\[ 116.70 \times 4.75 = \][/tex]

[tex]\[
\begin{tabular}{|l|l|l|l|l|}
\hline
& & & & \\
\hline
& & & & \\
\hline
& & & & \\
\hline
& & & & \\
\hline
\end{tabular}
\][/tex]



Answer :

GinnyAnswer
Sure! To solve the multiplication problem [tex]\( 116.70 \times 4.75 \)[/tex], follow these detailed steps:

1. Break Down the Factors:
- The first number is 116.70.
- The second number is 4.75.

2. Arrange the Numbers for Multiplication:
Place the larger number (116.70) on top and the smaller number (4.75) underneath it aligning by the decimal point.

3. Ignore the Decimal Point Temporarily:
- Treat the original numbers as whole numbers: [tex]\( 11670 \)[/tex] and [tex]\( 475 \)[/tex].

4. Multiply the Whole Numbers:
- Compute [tex]\( 11670 \times 475 \)[/tex].

5. Reintroduce the Decimal Points in the Final Step:
- The first number, 116.70, has two digits after the decimal.
- The second number, 4.75, has two digits after the decimal.
- Combine the total decimal places: [tex]\( 2 + 2 = 4 \)[/tex].

6. Insert the Decimal Point to Get the Final Result:
- After obtaining the product of the whole numbers, [tex]\( 5543250 \)[/tex], you need to place the decimal point four places from the right.
- Thus, [tex]\( 5543250 \)[/tex] becomes [tex]\( 554.3250 \)[/tex], which simplifies to [tex]\( 554.325 \)[/tex] since the trailing zero does not change the value.

Hence, the solution to [tex]\( 116.70 \times 4.75 \)[/tex] is:
[tex]\[ \boxed{554.325} \][/tex]

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