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Q48.

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Found in: Page 7

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Evaluate the experssion when $a=2.5, b=15,\text{and}c=3.5$localid="1648024501617" $ac$

The value of the expression is $8.75$.

See the step by step solution

## Step-1 – Apply the concept of product

When two or more numbers are multiplied together, it gives a number. The numbers that are being multiplied are called the factors. And the result of the multiplication of numbers is called the product of those numbers.

## Step-2 – Example for the product

In the product $2·3·4=24$, the numbers 2, 3, and 4 are being multiplied to give the product 24. So, the numbers 2, 3, and 4 are the factors in this equation and 24 is the product of the numbers.

## Step-3 – Evaluate the value of expression

To evaluate the expression $ac$, substitute the values of a as 2.5 and value of c as 3.5 and multiply the numbers.

To find the product of the decimal numbers 2.5 and 3.5, first multiply the numbers normally without decimal point. Observe that the first number has one decimal and the second number has one digit after decimal as well, so place the decimal point in the final product at the left of last two digits from right end.

The product of the numbers can be computed as shown below,

$\begin{array}{l}\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}2.5\\ \underset{¯}{×\text{\hspace{0.17em}}3.5\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}}\\ \text{\hspace{0.17em}\hspace{0.17em}}125\\ \underset{¯}{\text{\hspace{0.17em}}75×\text{\hspace{0.17em}\hspace{0.17em}\hspace{0.17em}}}\\ 8.75\end{array}$

Thus, the value of the expression is $8.75$.