Decimals and Place Value — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. The fraction 25100 written as a decimal is 0.25.
25100 equals 0.25 because the denominator is 100, so the numerator 25 fills the tenths and hundredths places directly as 2 tenths and 5 hundredths.
2. The decimal 0.5 written as a fraction with denominator 100 is 50 100 .
The answer is 50 because 0.5 equals 5 tenths, and multiplying both parts of 510 by 10 gives the equivalent fraction 50100.
3. Use >, <, or = : 0.20 = 0.2.
The answer is "=" because the trailing zero in 0.20 does not change its value; both decimals represent 2 tenths.
4. Write 40100 as a fraction in tenths: 4 10 .
The answer is 4 because 40100 simplifies to 410 when you divide both the numerator and denominator by 10.
5. The decimal that equals 75100 is 0.75.
75100 equals 0.75 because a fraction with 100 in the denominator converts directly: 7 goes in the tenths place and 5 goes in the hundredths place.
6. 0.1 is the same as 10 100 .
The answer is 10 because 0.1 means 1 tenth, and multiplying 110 by 1010 converts it to the equivalent fraction 10100.
7. Use >, <, or = : 0.90 = 0.9.
The answer is "=" because adding a zero after 0.9 gives 0.90, which still equals 9 tenths; trailing zeros never change a decimal's value.
8. The fraction 210 written as hundredths is 20 100 .
The answer is 20 because multiplying both parts of 210 by 10 gives 20100, which is the same value expressed in hundredths.
9. Write the decimal for sixty-three hundredths: 0.63.
Sixty-three hundredths is written as 0.63 because the 6 represents 6 tenths and the 3 represents 3 hundredths, totaling 63 out of 100.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each fraction to the equivalent decimal.
110
→ 0.10
0.55
55100
→ 0.55
0.30
80100
→ 0.80
0.80
310
→ 0.30
0.10
Correct matches: 110 → 0.10; 55100 → 0.55; 80100 → 0.80; 310 → 0.30.