Q21. - Algebra 1

Question

Find each product or quotient.

$-40.5÷\left(-8.1\right)$

Step-by-Step Solution

Answer

The quotient is 5.

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

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

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

Step 2. Concept of the division of decimal numbers.

To find the quotient of the decimal numbers, first, make the numbers decimal-free by adding 0’s to the right side to make the equal digits after the decimal and then remove the decimal. 

Step 3. Evaluate the quotient.

Observe that the numbers – 40.5 and – 8.1 have one digit after the decimal. So, remove the decimal from both numbers and divide them normally as shown below:

$$\begin{gathered} -40.5÷\left(-8.1\right)=\frac{-40.5}{-8.1} \\ =\frac{405}{81} \\ =5 \end{gathered}$$

Therefore, the quotient is 5.