Integers on a Number Line
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In these lessons, we will learn
- how to locate and place integers on a number line
- how to represent and compare integers on a number line
- how to compare and order integers using a number line
- how to identify the opposite of a number
When comparing and ordering numbers, we should refer to a number
line and look at the position of the number on the line in
relation to 0 to determine its value.Any number to the right is
always greater than any number to the left. This applies to both
positive and negative integers.
When placing integers on a number line, we first look at the sign
to see whether it is a positive or negative number. Then we look
at the digit to determine how far away from 0 the number should
go. All negative numbers are less than 0 and placed to the left of
the 0 on the number line.
Example:
Identify which of the following are integers and plot them on the number line.
0.3, -2, 1/3, -1.2, 0, 2, 9/7, 4.1, -3
In this lesson, students learn to compare integers by graphing the integers on a number line. The integer to the left on the number line is always less than the integer to the right. Since negative integers are to the left on a number line, and positive integers are to the right, a negative integer is always less than a positive integer.
Example:
Write the following integers from the least to the greatest.
-12, 7, 0, -1, 11
Arranging Integers from Smallest to Largest on Number Line
Examples:
Arrange the following integers from the least to the greatest.
-7, 4, -10, 0, 18, -1
How to order integers on the number line and review the definitions of absolute value and opposites?
The absolute value of a number is the distance between the number and zero on the number line.
Opposites are two numbers that are the same distance from zero, but on the opposite side of zero on the number line.
Opposite of a given number
Identify each number in the left column with its opposite in the right column.
Integers on a Number Line
Learn to represent and compare integers on a number line.
Examples:
1. To what number is the arrow pointing?
2. What is the opposite of -80°F ?
3. Compare, write > or <. Use a number line to solve.
2 ___ -7
Represent and Compare Integers on a Number Line
Examples:
Learn to represent and compare integers on a number line.
1. Graph -3 on the number line.
2. Use <, > or = to make a true sentence. Use a number line to compare.
3. Estimate the values for the points A to G and order the points from the least to the greatest.
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