To calculate: The simplified form of expression |−3y|.

Question

Andrew Reyes · Accepted Answer

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,

| \frac{- 3}{y} | = | - 3 | \cdot | \frac{1}{y} |

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

| - 3 | \cdot | \frac{1}{y} | = 3 \cdot | \frac{1}{y} |

= \frac{3}{| y |}

Hence, the absolute value of

| \frac{- 3}{y} | i s \frac{3}{| y |}

.

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

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Answer & Explanation

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