Sapewa

2021-12-08

To calculate: The simplified form of expression $\left|\frac{-3}{y}\right|$ .

Andrew Reyes

Beginner2021-12-09Added 24 answers

Formula used:

Property of Absolute Value:

Absolute value of product of two number is equal to product of absolute

values of those two number.

|p*q|=|p|*|q|

Where p and q are real numbers.

Absolute value of a negative number is equal to the opposite of that number.

|-p|=|p|

Where p is real numbers.

Calculation:

The absolute value of x, denoted |x|, is defined as follows,

When x is nonnegative, the absolute value of x is x and when x is negative, the absolute value of x is the opposite of x.

Now,

Using the property of Absolute value,

|ab|=|a|*|b|

The absolute value of a product is the product of the absolute values.

Therefore,

$\left|\frac{-3}{y}\right|=|-3|\cdot \left|\frac{1}{y}\right|$

Apply the property of absolute value |-p|=|p|,

$|-3|\cdot \left|\frac{1}{y}\right|=3\cdot \left|\frac{1}{y}\right|$

$=\frac{3}{\left|y\right|}$

Hence, the absolute value of$\left|\frac{-3}{y}\right|\text{}is\text{}\frac{3}{\left|y\right|}$ .

Property of Absolute Value:

Absolute value of product of two number is equal to product of absolute

values of those two number.

|p*q|=|p|*|q|

Where p and q are real numbers.

Absolute value of a negative number is equal to the opposite of that number.

|-p|=|p|

Where p is real numbers.

Calculation:

The absolute value of x, denoted |x|, is defined as follows,

When x is nonnegative, the absolute value of x is x and when x is negative, the absolute value of x is the opposite of x.

Now,

Using the property of Absolute value,

|ab|=|a|*|b|

The absolute value of a product is the product of the absolute values.

Therefore,

Apply the property of absolute value |-p|=|p|,

Hence, the absolute value of