Question

Find the product or quotient. (pp. 751, 752)
$0.5\times 27$

Short answer

The product of the numbers is$13.5$.

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 – Calculate the product of given numbers

To find the product of the decimal numbers 0.5 and 27, first multiply the numbers normally without decimal point.

Observe that the number of digits after decimal in these numbers is one only, so place the decimal point in the final product at the left of last digit from right end.

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

$\begin{array}{l}0.5\\ \underset{\_}{\times 27}\\ 35\\ \underset{\_}{10\times }\\ 13.5\end{array}$

Thus, the product of the given numbers is $13.5$.