Set up the problem: Set up the multiplication problem. We need to multiply 1.84 by 25.1. Calculation: 1.84 × 25.1Multiply as whole numbers: Multiply the numbers as if they were whole numbers, ignoring the decimal points for now. Calculation: 184 × 251Perform the multiplication: Perform the multiplication. Calculation: 184 × 251 = 46184Count decimal places: Count the total number of decimal places in the original numbers. 1.84 has two decimal places, and 25.1 has one decimal place, for a total of three decimal places. Calculation: 2 (from 1.84) + 1 (from 25.1) = 3Place the decimal point: Place the decimal point in the product to match the total number of decimal places from the original numbers. Since there are three decimal places in total, we place the decimal point three places from the right in our product. Calculation: 46184 becomes 46.184

Algebra 1

Powers with integer bases

Full solution

1.84 \times 25.1=

Set up the problem: Set up the multiplication problem. $\newline$ We need to multiply $1.84$ by $25.1$ . $\newline$ Calculation: $1.84 \times 25.1$
Multiply as whole numbers: Multiply the numbers as if they were whole numbers, ignoring the decimal points for now. $\newline$ Calculation: $184 \times 251$
Perform the multiplication: Perform the multiplication. $\newline$ Calculation: $184 \times 251 = 46184$
Count decimal places: Count the total number of decimal places in the original numbers. $\newline$ $1.84$ has two decimal places, and $25.1$ has one decimal place, for a total of three decimal places. $\newline$ Calculation: $2$ (from $1.84$ ) + $1$ (from $25.1$ ) = $3$
Place the decimal point: Place the decimal point in the product to match the total number of decimal places from the original numbers. $\newline$ Since there are three decimal places in total, we place the decimal point three places from the right in our product. $\newline$ Calculation: $46184$ becomes $46.184$