Q20. - Algebra 1

Question

Find each product or quotient.

$2.4\left(-0.7\right)$

Step-by-Step Solution

Answer

The product is $-3.43$.

Step 1. Concept of the product of like and unlike sign integers.

The product of two integers with the same sign is always positive.

The product of two integers with opposite signs is always negative.

Step 2. Concept of multiplication of decimal numbers.

To find the product of two decimal numbers, first, multiply the numbers normally without a decimal point. 

Then place the decimal point in the final product before the same count of digits from the right end, as the total count of digits after decimal in both the numbers that are multiplied.

Step 3. Evaluate the product.

To find the product of the decimal numbers 2.4 and –0.7, first, multiply the numbers normally without a decimal point. 

Observe that the number of digits after decimal in these numbers are 2, so place the decimal point in the final product at the left of the last two digits from the right end.

$$\begin{gathered} 2.4\left(-0.7\right)=-\left(2.4\times 0.7\right) \\ =-3.43 \end{gathered}$$

Therefore, the product is $-3.43$.