Question

Alex writes down a decimal number. Grogg writes down one tenth of Alex's problem. Winnie writes down one hundredth of Alex's problem. the product of all 3 monsters' numbers is 0.000008. what is Alex's number

Answer 1

Let x represent Alex's number.

Then Grogg wrote down 1/10 · x = x/10 = 0.1x.

Winne write down 1/100 · x = x/100 = 0.01x

The product of all three is:

(x)(0.1x)(0.01x) = 0.001x^3

0.001x^3 = 0.000008

Multiplying by 1000 on both sides we have:

x^3 = 0.008

x = cuberoot(0.008)

x = 0.2

Alex's number is 0.2, Grogg's is 0.02, and Winnie's is 0.002.