Testinar Grade 6 math

Rational Numbers on the Number Line

Students will build Grade 6 mastery of rational numbers on the number line using models, equations, and test-style reasoning.

CH02-08 The Number System

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

Which number is located farthest from \(0\) on a number line?
1. \(-4\)
2. \(-1.5\)
3. \(2.5\)
4. \(3\)
The number line below shows points labeled A, B, C, and D. Which point represents the number \(-2\)?
1. Point A
2. Point B
3. Point C
4. Point D
Which fraction is equivalent to \(-0.5\) on a number line?
1. \(-\frac{1}{4}\)
2. \(-\frac{3}{4}\)
3. \(-\frac{2}{3}\)
4. \(-\frac{1}{2}\)
Which list shows the numbers in order from least to greatest?
1. \(-3\), \(-0.5\), \(1\), \(2.5\)
2. \(-0.5\), \(-3\), \(2.5\), \(1\)
3. \(1\), \(-0.5\), \(2.5\), \(-3\)
4. \(2.5\), \(1\), \(-0.5\), \(-3\)
On a number line, what is the position of the point halfway between \(-2\) and \(2\)?
1. \(-2\)
2. \(0\)
3. \(1\)
4. \(2\)
Which decimal is located between \(-1\) and \(0\) on a number line?
1. \(-1.5\)
2. \(-0.7\)
3. \(0.3\)
4. \(0.8\)
The number line below shows tick marks at each integer. Point M is marked on the line. What is the coordinate of point M?
1. \(2.5\)
2. \(2.25\)
3. \(2\)
4. \(3\)
The number line below has tick marks at halves. Which fraction is located at point Q?
1. \(-2\)
2. \(-\frac{1}{2}\)
3. \(-1\)
4. \(-1\frac{1}{2}\)

Teacher and parent reference

Answer key and explanations

A. \(-4\)
Distance from zero is the absolute value. \(|-4|=4\), \(|-1.5|=1.5\), \(|2.5|=2.5\), \(|3|=3\). The greatest distance is \(4\).
B. Point B
Reading from the number line, point B is located at the tick mark labeled \(-2\).
D. \(-\frac{1}{2}\)
The decimal \(-0.5\) equals one-half of \(-1\), which is \(-\frac{1}{2}\).
A. \(-3\), \(-0.5\), \(1\), \(2.5\)
Ordering from smallest (most negative) to largest: \(-3 < -0.5 < 1 < 2.5\).
B. \(0\)
The midpoint between \(-2\) and \(2\) is found by taking the average: \(\frac{-2+2}{2} = 0\).
B. \(-0.7\)
Values between \(-1\) and \(0\) are negative decimals closer to zero. Only \(-0.7\) satisfies \(-1 < x < 0\).
A. \(2.5\)
Point M is halfway between \(2\) and \(3\), which is \(2.5\) or \(2\frac{1}{2}\).
D. \(-1\frac{1}{2}\)
Point Q is located at the half-tick between \(-2\) and \(-1\), which is \(-1\frac{1}{2}\).