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Math

Question Find the value of aa that is 0.4% of 40.

Studdy Solution

STEP 1

Assumptions
1. We are looking for a number aa which is 0.4%0.4\% of 40.
2. A proportion can be used to solve for aa.
3. The proportion will compare the percentage to 100 and aa to the number 40.

STEP 2

Set up the proportion using the percentage and the number 40.
0.4100=a40\frac{0.4}{100} = \frac{a}{40}

STEP 3

To solve for aa, we need to cross-multiply the terms in the proportion.
0.4×40=100×a0.4 \times 40 = 100 \times a

STEP 4

Perform the multiplication on the left side of the equation.
16=100×a16 = 100 \times a

STEP 5

Divide both sides of the equation by 100 to solve for aa.
16100=a\frac{16}{100} = a

STEP 6

Simplify the fraction on the left side to find the value of aa.
a=16100a = \frac{16}{100}

STEP 7

Convert the fraction to a decimal.
a=0.16a = 0.16
The number aa that is 0.4%0.4\% of 40 is 0.160.16.

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