Comparing and Ordering Decimals — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Which statement about 0.9 and 0.90 is correct?
A) 0.9 is greater than 0.90
B) 0.9 is less than 0.90
C) 0.9 equals 0.90
D) 0.9 is ten times 0.90
Grade 5 place value: 0.9 and 0.90 both have 9 tenths and 0 hundredths, so they are equal.
2. Compare 0.5 and 0.05. Which sentence is true?
A) 0.5 equals 0.05
B) 0.5 is ten times 0.05
C) 0.05 is greater than 0.5
D) 0.5 is one hundred times 0.05
0.5 has 5 tenths and 0.05 has 5 hundredths — 0.5 is ten times 0.05 in descending magnitude.
3. Which decimal is equal to 0.700?
A) 0.07
B) 0.7
C) 7.00
D) 0.0700
0.7 equals 0.70 equals 0.700 in Grade 5 place value — all three have 7 tenths.
4. Order these in ascending sequence: 0.4, 0.04, 0.40, 0.404. Which list is correct?
A) 0.04, 0.4, 0.40, 0.404
B) 0.04, 0.40, 0.4, 0.404
C) 0.04, 0.4, 0.404, 0.40
D) 0.04, 0.404, 0.4, 0.40
Padded sequence: 0.040, 0.400, 0.400, 0.404 — 0.4 and 0.40 are equal, then 0.404 follows in ascending order.
Part B: Fill in the Blank
Write the correct answer on each line.
1. True or false: 0.30 has a greater magnitude than 0.3. Answer: false.
0.30 equals 0.3 in Grade 5 place value — both have 3 tenths and 0 hundredths.
2. 0.06 is 10 times smaller than 0.6.
0.6 divided by 0.06 equals 10, so 0.06 is ten times smaller in descending magnitude.
3. Which is greater, 0.250 or 0.25? The answer is neither.
0.250 equals 0.25 — the trailing zero in the thousandths does not change the value.
4. Order from least to greatest: 0.8, 0.80, 0.08, 0.808. The first two values are equal — they are 0.8 and 0.80.
0.8 and 0.80 both equal 0.800 in padded form — equivalent in ascending order.
5. When rounding 0.55 to the tenths place, the result is 0.6.
Grade 5 rounding rule: 5 hundredths rounds the tenths up from 5 to 6 in ascending magnitude.