Name: Understanding the Distributive Property
Uploaded: 2019-07-19
Duration: 11 min 54 s
Description: We know about the commutative and the associative property, but there is more to learn! This next one, the distributive property, is very important in algebra.

Question

Use the given number line to find the sign of the quotient: $\frac{a - b}{a b}$

$[$ Hint: $a$ is $+ v e$ , $b$ is $- v e$ $]$

Accepted Answer

Since $a$ is positive and $b$ is negative, we can determine the sign of the quotient $\frac{a - b}{a b}$ based on the given information.

On the number line, a positive value is represented to the right of zero, while a negative value is represented to the left of zero.

Given that $a$ is positive and $b$ is negative, we can conclude that $a$ is to the right of zero, and $b$ is to the left of zero.

When we subtract a negative number $(b)$ from a positive number $(a)$ , the result is positive:

$a - b =$ positive

Now, when we multiply a positive number $(a)$ with a negative number $(b)$ , the result is negative:

$a b =$ negative

Finally, we can divide a positive number $(a - b)$ by a negative number $(a b)$ , resulting in a negative quotient:

$\frac{a - b}{a b} =$ negative

Therefore, based on the given information and the properties of arithmetic operations, we can determine that the sign of the quotient $\frac{a - b}{a b}$ is negative $(-)$ .

Use the given number line to find the sign of the quotient: $\frac{a - b}{a b}$

$[$ Hint: $a$ is $+ v e$ , $b$ is $- v e$ $]$

Important Questions on Integers

Learn and Prepare for any exam you want !

Use the given number line to find the sign of the quotient: a-bab [Hint: a is +ve, b is -ve]

Important Questions on Integers

Learn and Prepare for any exam you want !

Use the given number line to find the sign of the quotient: $\frac{a - b}{a b}$

$[$ Hint: $a$ is $+ v e$ , $b$ is $- v e$ $]$