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Example1

Title: Absolute values

Grade 6+ Lesson s1-l5

Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding.

Examples

Topics → Definition Example1

Find the absolute value of each of the following numbers:
a) \$\|-8\|\$
b) \$\|5\|\$
c) \$\|-3.5\|\$
d) \$\|0\|\$
e) \$-\|-6\|\$

Step 1

The absolute value of \$|-8|\$ is 8.

Explanation:

Since -8 is negative, its absolute value is its negation, which is positive.

Step 2

The absolute value of \$|5|\$ is 5.

Explanation:

Since 5 is positive, its absolute value remains the same.

Step 3

The absolute value of \$|-3.5|\$ is 3.5.

Explanation:

Since -3.5 is negative, its absolute value is its negation, which is positive.

Step 4

The absolute value of \$|0|\$ is 0.

Explanation:

The absolute value of 0 is 0, as it is equidistant from both positive and negative numbers on the number line.

Step 5

The absolute value of \$-|-6|\$ is -6.

Explanation:

The absolute value of -6 is 6 and the negative sign before the absolute value makes the answer negative.

So, the absolute values are:
a) \$|-8|\$ = 8
b) \$|5|\$ = 5
c) \$|-3.5|\$ = 3.5
d) \$|0|\$ = 0
e) \$-|-6|\$ = -6