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kotegsom [21]
2 years ago
10

Jim thinks –3/5 is greater than –0.2. You determine that –0.2 is greater than –3/5. Write Jim an explanation that justifies why

–0.2 is greater than –3/5. In your explanation, indicate how to use a number line to compare the rational numbers.
Mathematics
2 answers:
Andru [333]2 years ago
7 0

First I would introduce the concept of comparing two number using the number line and say: placing two numbers on the number line, the number that is to the right of the other, is the larger number (unless they're equal).

I would then write -0.2 as a fraction: -1/5

Then partition the number line segment between -1 and 0 into fifths and place -1/5 on the first fifth boundary, closes to the 0 point. Then place -3/5 on the boundary of the third fifth (three fifths away from the 0 point into the negative direction). Then ask: which of the two is more to the right on the number line? The answer becomes clear: -1/5 > -3/5 because of the number line comparison concept mentioned at the beginning.

Naily [24]2 years ago
6 0
Because 3/5 into a decimal is .60, but since its negative its -0.6 > -0.2
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