Question

(7*10^x)+(7*10^y)+(7*10^z)=700070.07

Write all possible set of values for x, y, z with the working.

Plz help

Answer 1

(x,y,z)=(5,1,-2) or (5,-2,1) or (1,5,-2) or (1,-2,5) or (-2,5,1) or (-2,1,5)

Explanation:

700070.07 = 700000 + 70 + 0.07

700000 = 7*10^5

70 =7*10^1

0.07=7*10^-2

Answer 2

The answers are:

(x,y,z)=

(5,1,-2)

(1,-2,5)

(-2,5,1)

(5,-2,1)

(-2,1,5)

(1,5,-2)

Explanation:

In order to determine the answer, we have to express the final number into a addition.

The number 700070.07 may be written by:

700000+70+0.07

Then, we can express every number into a scientific notation,that is, at the form:

`a*10^b`

700000

a=7

b=5

`7*10^5`

70

a=7

b=1

`7*10^1`

0.07

a=7

b=-2

`7*10^-^2`

So, in this case, we have three numbers: 5, 1, -2. The set of values are the combination of these numbers, in total 6 set of numbers.

Finally, the possible set of values for x, y, z are:

(5,1,-2)

(1,-2,5)

(-2,5,1)

(5,-2,1)

(-2,1,5)

(1,5,-2)