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Question
question 1
what does the absolute value of the equation \\(|2x| = 4\\) mean?
(fill in the blank with the integer that makes the statement true)
the product of a number and 2 is \\(\square\\) units away from \\(\square\\) on a number line.
Step1: Recall absolute value definition
The absolute value $|A| = b$ means $A$ is $b$ units from 0 on a number line.
Step2: Match to given equation
For $|2x| = 4$, $A=2x$ (product of $x$ and 2), $b=4$. So $2x$ is 4 units from 0.
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The product of a number and 2 is $\boldsymbol{4}$ units away from $\boldsymbol{0}$ on a number line.