Question

Given that 3*10^3 + 2*10^1 + 4*10^x +5*10^y = 3024.05, find x and y @arabpride

Answer 1

wow so complex .. >.> okayy im going to try at least.. maybe I'll learn somethin while im at it cx

Answer 2

thnks
umm u know how to solve in standard form??

Answer 3

well isn't simply a case os

3000 + 20 + 4 + 0.05

so 3 x 10^3 = 3000

2 x 10^1 = 20

4 x 10^x = 4

and

5 x 10^y = 0.05

should be straight forward

Answer 4

what power of 10 gives 4 units...?

and what power of 10 gives 1/100

Answer 5

wait how'd u got 4*10^x??

Answer 6

well what you need to do is match the left side with the right side...

the left side is the sum of powers of 10... so scientific notation.

the right side is standard form... so its a matching exercise

Answer 7

10^3 = 1000 so 3 x 10^3 = 3000
10^1 = 10 so 2 x 10^1 = 20
10^x = 1 4 x 10^x = 4

does this help

Answer 8

3020 + 4*10^X + 5*10^y =3024.05

Answer 9

that's correct...

Answer 10

4*10^X +5*10^Y = 3024.05 - 3020??

Answer 11

4*10^X + 5*10^Y = 4.05??

Answer 12

you don't need to do that.... do you know about place values....

e.g. 325 = 3 x 100^2 + 2 times 10^1 + 5 x 10^0

Answer 13

yup

Answer 14

x=1

Answer 15

oops 325 = 3 x 10^2 + 2 x 10^1 + 5 x 10^0

Answer 16

nope... have a look at the example.... what is the power of 10 for the units...?

Answer 17

power 2, power 1 and power 0

Answer 18

x=0??

Answer 19

and y=0.5??

Answer 20

that's correct...

here it is as a diagram of powers of 10



what do you think the values of x and y are..?

look at the powers