Unit 7, Lesson 3
Comparing Positive and Negative Numbers
Grade 6
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Plot the numbers -2, 4, -7, and 10 on the number line. Label each point with its numeric value.
Decide whether each inequality statement is true or false. Be prepared to explain your reasoning.
The phrases “greater than” and “less than” can be used to compare numbers on the number line. For example, the numbers -2.7, 0.8, and -1.3, are shown on the number line.
Because -2.7 is to the left of -1.3, we say that -2.7 is less than -1.3. We write:
In general, any number that is to the left of a number
We can see that -1.3 is greater than -2.7 because -1.3 is to the right of -2.7. We write:
In general, any number that is to the right of a number
We can also see that
An inequality is a statement that compares two values or expressions using symbols such as “
For example, the inequality
The sign of any number other than 0 is either positive or negative.
For example, the sign of 6 is positive. The sign of -6 is negative. Zero does not have a sign, because it is not positive or negative.
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