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Question:

Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stopped to see how much farther he has to go. If Yan made eight stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan and climbed?

4+4+4+4

8+8+8+8

(-1)(4+4+4+4)

(-8) + (-8) + (-8) + (-8)

Answer:

[tex]Total = (-8) +(-8) +(-8) +(-8)[/tex]

Step-by-step explanation:

Given

[tex]Rungs = -4[/tex] --- It is negative because he is climbing down

[tex]Steps = 8[/tex]

Required

An expression for the number of rungs climbed

To do this, we simply multiply the number of rungs by the steps taken.

[tex]Total = Rungs * Steps[/tex]

[tex]Total = -4 * 8[/tex]

This can be rewritten as:

[tex]Total = -8 * 4[/tex]

The product, when written as sum is:

[tex]Total = (-8) +(-8) +(-8) +(-8)[/tex]

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