Asked by Anonymous
Does doubling a number always make it larger?
This is a math question I have but I don’t know if the question is also including decimals because If it does then the answer would be no
This is a math question I have but I don’t know if the question is also including decimals because If it does then the answer would be no
Answers
Answered by
Reiny
If the number is positive, yes, doubling a number makes it larger.
However, if the number is negative, doubling it makes it "smaller".
Think of a number line.
If x is to the right of y on this line, then x is larger than y.
Now pick any positive number, say 3.5
double 3.5 = 2 * 3.5 = 7 and 7 would be to the right of 3.5, thus it is larger.
Now pick -6
2*(-6) = -12 and-12 is to the left of -6, thus it is smaller.
However, if the number is negative, doubling it makes it "smaller".
Think of a number line.
If x is to the right of y on this line, then x is larger than y.
Now pick any positive number, say 3.5
double 3.5 = 2 * 3.5 = 7 and 7 would be to the right of 3.5, thus it is larger.
Now pick -6
2*(-6) = -12 and-12 is to the left of -6, thus it is smaller.
Answered by
Reiny
Forgot to mention zero.
Of course zero times any number is still zero, so there is no question about being larger or smaller.
Of course zero times any number is still zero, so there is no question about being larger or smaller.
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