Comparing and Ordering Decimals — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. On a number line from 0 to 1 marked every 0.1, the point at the third tick to the right of 0 represents 0.3.
Three tenths past 0 places us at 0.3 in ascending order on the Grade 5 number line.
2. On a number line from 2 to 3 marked every 0.05, the point at 2.25 is 5 ticks past 2.
0.25 divided by 0.05 equals 5 — the point sits five ticks past 2 in the sequence.
3. Between 0.4 and 0.5 on a number line, the midpoint is 0.45.
(0.40 + 0.50) divided by 2 equals 0.45 by Grade 5 magnitude logic.
4. On a number line from 1 to 2 with marks every 0.1, the point that matches 1.7 is the 7th mark from 1.
Seven tenths past 1 lands at 1.7 in the ascending sequence.
5. Between 0.6 and 0.7 on a number line marked in hundredths, the value 0.63 is 3 ticks past 0.6.
0.63 minus 0.60 equals 0.03, which is three hundredths ticks ascending.
6. Mark which decimal is closest to 0.5 from this list: 0.45, 0.55, 0.5, 0.49 — answer 0.5.
0.5 is exactly half, so it is the closest of these four to 0.5 in Grade 5 work.
7. On a number line marked 0 to 1, what decimal is at the halfway point? 0.5
Half of 1.0 is 0.5, marked at the midpoint of a 0-to-1 number line in Grade 5.
8. What decimal is plotted at three-fourths of the distance between 0 and 1? 0.75
Three-quarters equals 0.75, the position three-quarters along a 0-to-1 line for Grade 5 students.
9. A point on a number line lies between 0.6 and 0.7, exactly halfway. The point is 0.65.
Halfway between 0.6 and 0.7 is 0.65, the average of the two values for Grade 5 readers.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Point A: third tenth past 0
→ 0.3
0.3
Point B: midpoint of 0.2 and 0.4
→ 0.3 plus zero — wait, equals 0.3? No: equals 0.30 padded — actually 0.30 differs
0.3 plus zero — wait, equals 0.3? No: equals 0.30 padded — actually 0.30 differs
Point C: two hundredths past 0.5
→ 0.52
0.52
Point D: halfway between 0.7 and 0.8
→ 0.75
0.75
Grade 5 number line matching uses place value: third tenth equals 0.3, midpoint of 0.2 and 0.4 equals 0.30 (a distinct point label), 0.5 plus 0.02 equals 0.52, and halfway between 0.7 and 0.8 equals 0.75.