Question

need help solving 0.4w=12 need to learn the steps

Answer 1

i thought it was supose to be like 10(4w)=120?

Answer 2

divide both sides by 0.4
0.4w 12
----- = -----
0.4 0.4

so

w= 30

Answer 3

ok thank you

Answer 4

@rjmoore93 for the record what you're attempting is right too

Answer 5

Divide by 0.4 both the sides..

Answer 6

it helps to myltiply by 10 to get rid of decimals

Answer 7

if the equation was longer and had more decimals will the rule apply to it too?

Answer 8

If you do not know the decimal division, then you can get rid of the decimal by first multiplying both sides by 10(as you have done) and then divide both sides by 4

Answer 9

give an example n ill explain..

Answer 10

\[10 \times 0.4w = 10 \times 12 \implies 4w = 120\]

Now divide by 4 both the sides..

Answer 11

if there are multiple decimal numbers, then you see which one has the highest number of digits after the decimal point and multiply all accordingly

Answer 12

for each number after the decimals depends on what i multiply it by like .12 would be 1,200?

Answer 13

for removing decimal

0.2 is to be multiplied by 10 to get 2
0.57 is to be multiplied by 100 to get 57
2.478 is to be multiplied by 1000 to get 2478

and so on...

Answer 14

so i move the decimal depending on how many zeros?

Answer 15

look at it this way....
in 0.2 you have to shift the decimal towards right by 1 place to get 2 so multiply by one 10

in 0.57 you have to shift the decimal towards right by 2 places to get 57 so multiply by two 10s i.e. 10x10=100

in 2.478 you have to shift the decimal towards right by 3 places to get 2478 so multiply by three 10s i.e. 10x10x10 = 1000

Is it clear now???

Answer 16

yea thank you I appreciate it.

Answer 17

welcome...☺

Answer 18

Change the coefficient of x to a fraction.\[\frac{4}{10}x=12\to \frac{2}{5}x=12\to 2x=60\to x=30 \]