Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Absolute values |
Grade: 6-a 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:
Find the absolute value of each of the following numbers:
a) \$\|-8\|\$
b) \$\|5\|\$
c) \$\|-3.5\|\$
d) \$\|0\|\$
e) \$-\|-6\|\$
Step 1a
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The absolute value of \$|- 8|\$ is 8. |
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Explanation: Since -8 is negative, its absolute value is its negation, which is positive. |
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Step 1b
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The absolute value of \$|5|\$ is 5. |
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Explanation: Since 5 is positive, its absolute value remains the same. |
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Step 1c
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The absolute value of \$|- 3.5|\$ is 3.5. |
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Explanation: Since - 3.5 is negative, its absolute value is its negation, which is positive. |
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Step 1d
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The absolute value of \$|0|\$ is 0. |
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Explanation: The absolute value of 0 is 0, as it is equidistant from both positive and negative numbers on the number line. |
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Step 1e
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The absolute value of \$-|- 6|\$ is - 6. |
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Explanation: The absolute value of - 6 is 6 and the negative sign before the absolute value. So, it makes the answer negative. |
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Step 1f
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So, the absolute values are : |
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Explanation: a) \$|- 8|\$ = 8 b) \$|5|\$ = 5 c) \$|- 3.5|\$ = 3.5 d) \$|0|\$ = 0 e) \$-|- 6|\$ = 6 |
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