What is the answer to 500 is 10 times as much as _________?
Yes 500 is 10 times as much as 50. and so the answer is 50.
■ 10 is 10 times as much as what
Here's the formal way to do it with algebra.
You called the mystery number "what", so let's give it the nickname of 'W'.
You said that 10 is ten times as much as 'what'.
Ten times as much as 'what' is 10W, so
10 = 10W.
Divide each side of that equation by 10: 1 = W
and there's the answer. 10 is ten times as much as ' 1'.
■ Ten times as much as 70 is one tenth of what?
10 * 70 = 700
700 = 1/10 X
X = 7000
■ 0.4 is 10 times as much as
0.4 is 10 times as much as ?
This may sound confusing at first, but it is actually really easy. Just think about the concept for a minute using larger, easier to manage numbers.
80 is 10 times as much as ?
In this case, you should know that 80 is 10 times as much as 8, right? 8 * 10 = 80.
So, if you have a number, 80, and you know it is 10 times as much as another number, then just divide 80 by 10 to get that number.
80 / 10 = 8
Your example, "0.4 is 10 times as much as ?" works the same way.
0.4 / 10 = 0.04
So, there's your answer.
Another (more correct) way of looking at it is by using algebra. You are looking for a number, we'll call it x. So, re-word your question to be, "0.4 is 10 times as much as x"
0.4 is 10 times as much as x. This means that 10 times x equals 0.4, therefore:
10 * x = 0.4
10x = 0.4 To solve for x, divide both sides by 10.
10x / 10 = 0.4 / 10 Then simplify.
x = 0.04 And you are left with your answer.