Fractions on a Number Line — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
On a Grade 3 number line partitioned into 8 equal parts, the third tick from 0 is 3/10.
Corrected: On a Grade 3 number line partitioned into 8 equal parts, the third tick from 0 is 3/8.
If a whole is split into 8 equal parts, each part is one eighth, so three ticks means 3/8.
2. Fix the sentence:
A Grade 3 number line split into 10 equal parts shows the first tick is 1/8 from 0.
Corrected: A Grade 3 number line split into 10 equal parts shows the first tick is 1/10 from 0.
Ten equal partitions give tenths, so the first tick past 0 is 1/10, not 1/8.
3. Fix the sentence:
For Grade 3, the point 5/8 sits the same distance from 0 as 5/10.
Corrected: For Grade 3, the point 5/8 sits farther from 0 than 5/10 on the same number line.
Eighths are larger than tenths, so five eighths is a greater distance from 0 than five tenths.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. On a Grade 3 number line from 0 to 1 split into eighths, the tick just before 1 is labeled 7/8.
Seven of the eight equal parts lie between 0 and that tick, so the label is 7/8.
2. A Grade 3 student partitions 0 to 1 into 10 equal parts; the point at the fourth tick is 4/10.
Four jumps of 1/10 from 0 lands on 4/10 on the number line.
3. In Grade 3, the unit fraction used to partition a number line into eighths is 1/8.
Each of the 8 equal parts has length 1/8, the unit fraction for eighths.
4. On a Grade 3 number line in tenths, the point 6/10 is 6/10 units from 0.
The label of a point on a number line names its distance from 0, which is 6/10.
Part C: True or False?
Read each statement. Circle True or False.
1. A Grade 3 number line partitioned into 8 equal parts uses the unit fraction 1/8.
True False
Eight equal parts means each part is 1/8, the unit fraction for eighths.
2. On a Grade 3 number line, 3/10 is farther from 0 than 7/10.
True False
With tenths, 7/10 is past 3/10, so 7/10 is farther from 0.
3. In Grade 3, partitioning 0 to 1 into tenths creates 10 equal intervals.
True False
Tenths comes from splitting the whole into 10 equal intervals between 0 and 1.