Number Line Position: Find the Value at the Red Point Between -32 and -8

What number appears at the point marked on the axis in red?

AAABBBCCCDDDEEEFFFGGG-64-64-64HHH-32-32-32IIIJJJ-8-8-8KKK-4-4-4LLL-2-2-2

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1

Understand the problem

What number appears at the point marked on the axis in red?

AAABBBCCCDDDEEEFFFGGG-64-64-64HHH-32-32-32IIIJJJ-8-8-8KKK-4-4-4LLL-2-2-2

2

Step-by-step solution

Let's pay attention to the numbers on the axis from right to left:

−2,−4,−8,? -2,-4,-8,\text{?}

We'll try to find the common denominator.

Note that if we multiply by 2, we'll get the sequence of numbers:

−2×2=−4 -2\times2=-4

−4×2=−8 -4\times2=-8

Therefore, the next operation to find the red point will be:

−8×2=−16 -8\times2=-16

3

Final Answer

16-

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All negative numbers appear on the number line to the left of the number 0.

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