Question

Why is it reasonable for the value of “any number’ to decrease when it is multiplied by 0.01?
Justify your response.

Answer 1

Because of how small 0.01 is

Answer 2

2 times 0.01 is 0.02

Answer 3

1000 times 0.01 is 10 which is considerably smaller

Answer 4

When you have such a number so close to zero these things happen

Answer 5

yea but when you think of multiplication you think the number is going to increase, how come it decreases when multiplied by 0.01


74.2 x 0.01=0.742 74.2/0.01=7420

Answer 6

According to Multiplicative Identity, multiplying number by \(1\) will leave it unchanged.
\(n\times1=n\)

So multiplying a number \(n\) by any number between \(0\) to \(1\) will make result smaller than \(n\).

Likewise, multiplying a number \(n\) by any number greater than \(1\) will make result larger than \(n\)

Does that help?

Answer 7

yes, thank you its more clear if you had to explain it with place value and multiplying and dividing by powers of ten how can this be explained?

Answer 8

Maybe say something like that decimal can be convert into fraction, you can see that for example: \(0.231 = \dfrac{231}{1000}\); it will make n smaller since \(1000>231\)

Dividing number \(n\) by any number \(m\) is same as multiplying n by reciprocal of m
\(n\div m = n\times\dfrac{1}{m}=\dfrac{n}{m}\)

I am not sure exactly how to explain this, but what I said should help you, right?

Answer 9

right, ty so much again

Answer 10

isn't 0.01 in fraction 100?

Answer 11

in fraction is 1/100

Answer 12

kk,why does greeky42 231/1000