Testinar Grade 3 math

Fractions on a Number Line

Students will understand fractions as numbers and locate them on a number line.

CH03-02 Fractions

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

On a number line from \(0\) to \(1\) divided into \(4\) equal parts, what fraction is at the second tick mark from \(0\)?
1. \(\frac{1}{4}\)
2. \(\frac{2}{4}\)
3. \(\frac{3}{4}\)
4. \(\frac{4}{4}\)
The dot marks a point on this number line. What fraction is it?
1. \(\frac{1}{1}\)
2. \(\frac{2}{2}\)
3. \(\frac{1}{2}\)
4. \(\frac{1}{3}\)
What fraction is at the third (last) tick mark on a 3-part number line from \(0\) to \(1\)?
1. \(\frac{1}{3}\)
2. \(\frac{2}{3}\)
3. \(\frac{3}{3}\)
4. \(\frac{3}{1}\)
On this number line, the distance from \(0\) to \(1\) is divided into \(6\) equal parts. The point shown is at which fraction?
1. \(\frac{1}{6}\)
2. \(\frac{2}{6}\)
3. \(\frac{3}{4}\)
4. \(\frac{4}{6}\)
On a number line from \(0\) to \(1\) with \(8\) equal parts, what fraction is marked by the dot?
1. \(\frac{3}{8}\)
2. \(\frac{4}{8}\)
3. \(\frac{5}{8}\)
4. \(\frac{6}{8}\)
A number line shows the distance from \(0\) to \(1\) split into \(4\) equal parts. Where is \(\frac{1}{4}\) located?
1. At the first tick mark
2. At the second tick mark
3. At the third tick mark
4. At the fourth tick mark
On a number line from \(0\) to \(1\) with \(3\) equal parts, the second tick mark from \(0\) represents which fraction?
1. \(\frac{1}{3}\)
2. \(\frac{2}{3}\)
3. \(\frac{2}{2}\)
4. \(\frac{3}{2}\)
A number line from \(0\) to \(1\) has \(6\) equal parts. The dot marks which fraction?
1. \(\frac{2}{6}\)
2. \(\frac{3}{6}\)
3. \(\frac{4}{6}\)
4. \(\frac{5}{6}\)

Teacher and parent reference

Answer key and explanations

B. \(\frac{2}{4}\)
Each tick is \(\frac{1}{4}\) of the distance from \(0\) to \(1\). The second tick is \(2\) copies of \(\frac{1}{4}=\frac{2}{4}\).
C. \(\frac{1}{2}\)
The dot is at 1 tick out of 2 equal parts, so the fraction is \(\frac{1}{2}\).
C. \(\frac{3}{3}\)
The last tick mark shows all 3 parts: \(\frac{3}{3}=1\) (the whole).
B. \(\frac{2}{6}\)
Counting from left, the mark is at the \(2\)nd tick out of \(6\) equal parts, so it is \(\frac{2}{6}\).
C. \(\frac{5}{8}\)
The dot is at the \(5\)th mark out of \(8\) equal divisions, so the fraction is \(\frac{5}{8}\).
A. At the first tick mark
\(\frac{1}{4}\) is one part out of four equal parts, so it is at the first tick mark from \(0\).
B. \(\frac{2}{3}\)
The second tick from \(0\) is \(2\) parts out of \(3\) equal parts, so it represents \(\frac{2}{3}\).
C. \(\frac{4}{6}\)
Counting ticks from \(0\), the dot is at the \(4\)th mark out of \(6\) equal parts, so it is \(\frac{4}{6}\).