Identify the numbers: Identify the numbers to be multiplied. We have two numbers: 162 and 0.967. We need to multiply these two numbers to find the product.Multiply the whole number: Multiply the whole number by the decimal. To multiply 162 by 0.967, we align the numbers and multiply as if they were both whole numbers, keeping in mind the decimal places. Calculation: 162 × 0.967 --------Perform the multiplication: Perform the multiplication. We multiply the numbers as if they were whole numbers. 162 × 967 (we ignore the decimal for now) -------- 1134 (162 × 7) 11340 (162 × 60, shift one position to the left) 113400 (162 × 900, shift two positions to the left) -------- 156714 (sum of the above three products)Place the decimal point: Place the decimal point. Since 0.967 has three decimal places, we must place the decimal point in the product so that the product also has three decimal places. Calculation: 156.714 (three digits after the decimal point)

Algebra 1

Powers with integer bases

Full solution

162 \times 0.967=

Identify the numbers: Identify the numbers to be multiplied. $\newline$ We have two numbers: $162$ and $0.967$ . We need to multiply these two numbers to find the product.
Multiply the whole number: Multiply the whole number by the decimal. $\newline$ To multiply $162$ by $0.967$ , we align the numbers and multiply as if they were both whole numbers, keeping in mind the decimal places. $\newline$ Calculation: $\newline$ $\newline$ \begin{align*} $\newline$ & $162$ (\newline\)&\times $0$ . $967$ (\newline\)&\underline{\phantom{ $0000$ }} $\newline$ \end{align*} $\newline$
Perform the multiplication: Perform the multiplication. $\newline$ We multiply the numbers as if they were whole numbers. $\newline$ $162$ $\newline$ $\times 967$ (we ignore the decimal for now) $\newline$ $\underline{\hspace{3em}}$ $\newline$ $1134$ ( $162 \times 7$ ) $\newline$ $11340$ ( $162 \times 60$ , shift one position to the left) $\newline$ $113400$ ( $162 \times 900$ , shift two positions to the left) $\newline$ $\underline{\hspace{3em}}$ $\newline$ $\times 967$ $0$ (sum of the above three products)
Place the decimal point: Place the decimal point. $\newline$ Since $0.967$ has three decimal places, we must place the decimal point in the product so that the product also has three decimal places. $\newline$ Calculation: $156.714$ (three digits after the decimal point)