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:
Grade 3 point A is on the first tick of a line split into fourths, so A is 1/3.
Corrected: Grade 3 point A is on the first tick of a line split into fourths, so A is 1/4.
Fourths partition into 4 equal parts, so the first tick past 0 is 1/4, not 1/3.
2. Fix the sentence:
If Grade 3 point B sits at the halfway mark of a number line from 0 to 1, B equals 1.
Corrected: If Grade 3 point B sits at the halfway mark of a number line from 0 to 1, B equals 1/2.
The midpoint of 0 and 1 is 1/2 because the whole is split into two equal parts.
3. Fix the sentence:
In Grade 3, point C on the third tick of sixths is labeled 3/8.
Corrected: In Grade 3, point C on the third tick of sixths is labeled 3/6.
Six equal parts give a denominator of 6, so the third tick is 3/6.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Grade 3 point A on the second tick of a line split into fourths is 2/4.
Two of the four equal parts puts point A at 2/4 on the number line.
2. Grade 3 point B sits at the fifth tick on a line of tenths, so B equals 5/10.
Five unit fractions of 1/10 place point B at 5/10, which is halfway to 1.
3. Grade 3 point C is on the third of six equal parts from 0; C equals 3/6.
With six equal parts, three unit jumps land on 3/6 on the number line.
4. Grade 3 point D on the seventh tick of eighths names the fraction 7/8.
Counting 7 eighths from 0 places point D at 7/8, just before 1.
Part C: True or False?
Read each statement. Circle True or False.
1. In Grade 3, a point on the fourth tick of a fourths line is exactly 1.
True False
The fourth tick from 0 is 4/4 which equals 1 on the number line.
2. A Grade 3 point on the second tick of sixths equals 2/3.
True False
The second tick of sixths is 2/6, not 2/3, because sixths has denominator 6.
3. In Grade 3, labeling points A, B, C, D helps name fractions by distance from 0.
True False
A point's fraction equals how far it sits from 0 using the chosen unit fraction.