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Question 1 of 1519:58
Which of the following percentages is equivalent to 0.120.12?

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Converting Fractions, Decimals, and Percents
Q1/15
Which of the following percentages is equivalent to 0.10.1?
A
0.1%0.1\%
B
1%1\%
C
10%10\%
D
100%100\%
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Correct! Here's the breakdown:
Diagnostic Question 1
Which of the following percentages is equivalent to 0.10.1?
A0.1%0.1\%
B1%1\%
C10%10\%✓
D100%100\%
Step-by-Step Solution
Step 1
Recognize what's being asked: Convert 0.10.1 (a decimal) to a percent.
Why is this conversion important for the TEAS?
🎯 TEAS 7 Strategy: Decimal-to-percent conversions appear frequently on the exam—often as quick mental math. Memorize the rule: multiply by 100100 (or move the decimal 22 places right).

Common examples to memorize:
• 0.5=50%0.5 = 50\%
• 0.25=25%0.25 = 25\%
• 0.1=10%0.1 = 10\%
• 0.01=1%0.01 = 1\%
Step 2
Apply the conversion rule: Multiply the decimal by 100100.
How does multiplying by 100100 work?
🎯 TEAS 7 Strategy: Moving the decimal point 22 places to the right is the same as multiplying by 100100.

0.1×100=100.1 \times 100 = 10


So 0.10.1 becomes 10%10\%.

Why this works: Percent means "per hundred." Multiplying by 100100 converts the decimal to how many parts per 100100.
Step 3
Verify by thinking about fractions: 0.1=1100.1 = \frac{1}{10}, and 110=10100=10%\frac{1}{10} = \frac{10}{100} = 10\%.
How do I check my answer using fractions?
🎯 TEAS 7 Strategy: Convert to a fraction with denominator 100100 to find the percent directly.

0.1=110=1×1010×10=10100=10%0.1 = \frac{1}{10} = \frac{1 \times 10}{10 \times 10} = \frac{10}{100} = 10\%


Common mistake: Confusing 0.10.1 with 0.010.01. Remember: 0.1=10%0.1 = 10\% but 0.01=1%0.01 = 1\%.
Step 4
Choose the correct option: 10%\mathbf{10\%}
Which option matches?
🎯 TEAS 7 Strategy: Match your result to the choices.

Options: 0.1%0.1\% ✗, 1%1\% ✗, 10%10\% ✓, 100%100\% ✗

Watch out for traps: 0.1%0.1\% looks similar but is 100×100\times too small. 1%1\% would be 0.010.01.

Answer: 10%\mathbf{10\%}
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