The answer will be 20,000
0.09 = (1/10) × what
Multiply both sides by 10.
0.90 = 10/10 × what
0.90 = what
_____
The first step is to write the relationship using mathematical symbols. (The math sentence follows the English sentence very closely, so that should not be trouble for you.)
The second step is to identify the coefficient of the variable (1/10) and then multiply both sides of the equation by its inverse (10/1). This leaves the variable multiplied by 1 and equated to the solution value.
0.09 is 1/10 of 0.90
_____
You can also recognize that 1/10 of something can be found by moving the decimal point one place to the left. That is, 1/10 of 12.34 is 1.234. This is a place-value thing.
Since 0.09 is 1/10 of something, it must have had its decimal point moved 1 place to the left. To find the original something, we move the decimal point back 1 place to the right: 0.9.
Answer:
a. 121
b. 32100
c. 0.2
d. 400
Step-by-step explanation:
a. Quick disclaimer: If there's a decimal point on the divisor, in this case it would be .05, you have to move the decimal point until it has no decimal, in this case .05 would become 5.0 or just 5. The other number also has to have it's decimal point moved as much as the divisor, in this case two times, so it would be from 6.05 to 605. So with this in mind: 605/5 = 121
b. 96.3/.003 = 96300/3 = 32100
c. 0.12/0.6 = 1.2/6 = 0.2
d. 3.2/.008 = 3200/8 = 400
6. Since I think this answer is best explained visually, I've included an image showing all of those lines (often called the <em>symmetry lines </em>of a hexagon)
