Decimals and Place Value — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Order from least to greatest: 0.4, 0.04, 0.44. Answer: 0.04, 0.4, 0.44.
0.04 comes first because it equals only 4 hundredths, while 0.4 equals 40 hundredths and 0.44 equals 44 hundredths, so the order is 0.04, 0.4, 0.44.
2. The expanded form of 0.56 is 5 tenths + 6 hundredths.
The answer is 6 because in 0.56, the digit 5 represents 5 tenths and the digit 6 sits in the hundredths place, making the expanded form 5 tenths + 6 hundredths.
3. On a number line, 0.35 is between 0.3 and 0.4.
0.3 is correct because 0.35 has 3 in the tenths place, placing it past the 0.3 mark but before reaching 0.4 on the number line.
4. Order from greatest to least: 1.2, 1.02, 1.22. Answer: 1.22, 1.2, 1.02.
1.2 goes in the middle because 1.22 (122 hundredths) is the largest, 1.2 (120 hundredths) is next, and 1.02 (102 hundredths) is the smallest.
5. The decimal 0.09 is the same as 9 hundredths.
The answer is 9 because 0.09 means zero tenths and 9 hundredths, so it equals exactly 9 hundredths of a whole.
6. Write the next decimal in the pattern: 0.25, 0.50, 0.75, 1.00.
The pattern increases by 0.25 each time (0.25, 0.50, 0.75), so the next number is 0.75 + 0.25 = 1.00.
7. Use >, <, or = : 3.07 < 3.70.
The answer is "<" because 3.07 has 0 tenths while 3.70 has 7 tenths, so 3.07 is much smaller than 3.70.
8. Write 8 tenths + 1 hundredth as a decimal: 0.81.
8 tenths equals 0.8 and 1 hundredth equals 0.01, so adding them together gives 0.81.
9. The decimal halfway between 0.3 and 0.4 is 0.35.
0.35 is correct because halfway between 0.30 and 0.40 means splitting the 10-hundredths gap in half, landing exactly at 0.35.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each decimal to its expanded form.
0.73
→ 7 tenths + 3 hundredths
4 tenths + 0 hundredths
0.19
→ 1 tenth + 9 hundredths
0 tenths + 6 hundredths
0.40
→ 4 tenths + 0 hundredths
7 tenths + 3 hundredths
0.06
→ 0 tenths + 6 hundredths
1 tenth + 9 hundredths
Correct matches: 0.73 → 7 tenths + 3 hundredths; 0.19 → 1 tenth + 9 hundredths; 0.40 → 4 tenths + 0 hundredths; 0.06 → 0 tenths + 6 hundredths.