Question

find the distance between the two points on the number line. see example 11.
find the distance between 5 and $-7$.
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multiply as indicated without a calculator:
$(-8)(11)$
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Explanation:

Step1: Calculate distance between points

The distance between two points $a$ and $b$ on a number line is $|a - b|$. For $a=5$, $b=-7$:
$|5 - (-7)| = |5 + 7| = |12| = 12$

Step2: Multiply signed numbers

Multiply $-8$ and $11$: a negative times a positive is negative.
$(-8) \times 11 = -88$

Answer:

Distance between 5 and -7: 12
Product of $(-8)(11)$: $-88$