Mathematics
Grade 6
15 min
Number lines
Number lines
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify and label positive and negative integers, fractions, and decimals on a number line.
Construct a number line with an appropriate scale to represent a given set of numbers.
Compare and order numbers, including integers and rational numbers, using their positions on a number line.
Model addition and subtraction of integers using movements on a number line.
Determine the absolute value of a number by understanding its distance from zero on a number line.
Apply number lines to solve real-world problems involving quantities above and below zero.
Ever wondered how we can visually organize all kinds of numbers, from tiny fractions to big negative integers, and even understand their relationships? 🗺️
In this lesson, you'll discover the power of numb...
2
Key Concepts & Vocabulary
TermDefinitionExample
Number LineA straight line with numbers marked at equal intervals, extending infinitely in both positive and negative directions.A line showing 0 in the middle, 1, 2, 3 to the right, and -1, -2, -3 to the left.
OriginThe central point on a number line that represents the number zero (0).When you start counting on a number line, you always begin at the Origin (0).
Positive NumbersNumbers greater than zero, located to the right of the Origin on a number line.Numbers like 1, 5, 1/2, 3.7 are all positive numbers.
Negative NumbersNumbers less than zero, located to the left of the Origin on a number line.Numbers like -1, -10, -3/4, -2.1 are all negative numbers.
IntegersThe set of whole numbers and their opposites (positive whole numbers, negative whole numbers, and zero)....
3
Core Formulas
Ordering Numbers on a Number Line
Numbers increase in value as you move to the right on a number line, and decrease in value as you move to the left.
This rule helps you compare any two numbers: the number further to the right is always greater. For example, $5 > 2$ and $-1 > -4$.
Addition on a Number Line
To add a positive number, move to the right. To add a negative number, move to the left.
Start at the first number. If you're adding a positive value, count units to the right. If you're adding a negative value (which is like subtracting a positive), count units to the left. For example, $3 + (-5)$ means start at 3 and move 5 units left.
Subtraction on a Number Line
To subtract a positive number, move to the left. To subtract a negative number, move t...
5 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
After moving 7 units to the left on a number line, you land on the point -3. What was your starting point?
A.4
B.-10
C.10
D.-4
Challenging
Which inequality correctly compares the results of the two expressions involving absolute value?
A.|-6 + 2| > |-6| + |2|
B.|-6 + 2| = |-6| + |2|
C.|-6 + 2| < |-6| + |2|
D.The relationship cannot be determined.
Challenging
You are constructing a number line to place the following fractions: -3/4, 1/2, -1 1/4, 1/4. Which of the following number lines is constructed with the most appropriate scale and has the points labeled correctly?
A.number line from -2 to 2 with a scale of 1, where points are estimated.
B.number line from -2 to 2 with a scale of 1/2, where some points are estimated.
C.number line from -2 to 2 with a scale of 1/4, where all points fall on a tick mark.
D.number line from -1 to 1 with a scale of 1/4, which cannot fit all the points.
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free