Question

22 is 0.2% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 22, slightly less than 22, slightly greater than 22, or a lot greater than 22? Explain.

Answer 1

22 is 0.2% of 11000. Since 0.2% is a very small percentage, the number that 22 is 0.2% of has to be significantly larger than 22 itself.

Step-by-step explanation:

The question being asked is '22 is 0.2% of what number?'

To find the answer, we set up an equation to represent the relationship between the percentage and the whole number:

• Let x be the number we want to find.
• 0.2% of x is equal to 22.

Now we convert 0.2% into a decimal to use it in the equation:

0.2% = 0.002

The equation becomes:

0.002 * x = 22

Divide both sides by 0.002 to isolate x:

x = 22 / 0.002

x = 11000

Therefore, 22 is 0.2% of 11000.

Given this, we would expect the answer to be a lot greater than 22, since 0.2% is a very small fraction, and to reach 22 using such a small percent, the total amount must be much higher than 22.