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 line split into 4 parts in Grade 3, the point 2/4 is at the first tick after 0.
Corrected: On a line split into 4 parts in Grade 3, the point 2/4 is at the second tick after 0.
The numerator 2 means two jumps of 1/4, so 2/4 sits at the second tick in Grade 3.
2. Fix the sentence:
On a line split into 6 parts in Grade 3, the point 3/6 is right at 1.
Corrected: On a line split into 6 parts in Grade 3, the point 3/6 is right at 1/2.
Three out of six equal parts equals 1/2, the midpoint between 0 and 1 in Grade 3.
3. Fix the sentence:
In Grade 3, marking 2/3 on a line split into thirds puts the point just before 1/3.
Corrected: In Grade 3, marking 2/3 on a line split into thirds puts the point just before 1.
2/3 is the second tick of thirds, which sits just before 1, not near 1/3, in Grade 3.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. In Grade 3, on a number line split into 4 equal parts, the point 2/4 is the second tick after 0.
Two jumps of 1/4 land on the second tick, so 2/4 is the second tick in Grade 3.
2. In Grade 3, on a line split into 6 equal parts, the fraction 3/6 is the same point as 1/2.
3/6 reduces to 1/2 and lands at the midpoint of 0 and 1 in Grade 3.
3. In Grade 3, on a line split into 3 equal parts, the point 2/3 is the second tick after 0.
Two jumps of 1/3 put 2/3 at the second tick on a thirds number line in Grade 3.
4. In Grade 3, on a line split into 4 equal parts, the point 4/4 is the same as the number 1.
4/4 means four out of four equal parts, which is the whole, so it equals 1 in Grade 3.
Part C: True or False?
Read each statement. Circle True or False.
1. In Grade 3, on a line split into 6 parts, the point 3/6 lands exactly at 1/2.
True False
3/6 equals 1/2, so both fractions land on the same point in Grade 3.
2. In Grade 3, on a line split into 4 parts, the point 3/4 sits closer to 0 than to 1.
True False
3/4 is the third of four ticks, past 1/2, so it is closer to 1, not 0, in Grade 3.
3. In Grade 3, on a line split into 3 parts, the tick labeled 3/3 is the same point as 1.
True False
3/3 is the whole, which is the number 1 on the number line in Grade 3.