Lesson 03: Comparing Positive and Negative Numbers | Unit 7: Rational Numbers

Open Ended

Decide whether the inequality statement $$-5 > 2$$ is true or false. Explain your reasoning.

Open Ended

Decide whether the inequality statement $$3 > -8$$ is true or false. Explain your reasoning.

Open Ended

Decide whether the inequality statement $$-12 > -15$$ is true or false. Explain your reasoning.

Open Ended

Decide whether the inequality statement $$-12.5 > -12$$ is true or false. Explain your reasoning.

Multiple Select

Here is a true statement: $${-8.7} < {-8.4}$$ . Select **all** of the statements that are equivalent to $${-8.7} < {-8.4}$$ .

• -8.4 is less than -8.7.

• -8.7 is further to the right on the number line than -8.4.

• -8.7 is greater than -8.4.

• -8.7 is less than -8.4.

• -8.7 is further to the left on the number line than -8.4.

Open Ended

Which is greater, $$\frac {{-}9}{20}$$ or -0.5? Explain your reasoning.

Draw

Plot $$\frac{2}{3}$$ and $$\frac{3}{4}$$ on a number line.

Open Ended

Is $$\frac{2}{3} < \frac{3}{4}$$ , or is $$\frac{3}{4} < \frac{2}{3}$$ ? Explain how you know.

Draw

Draw a number line and plot and label three numbers between -2 and -8 (not including -2 and -8).

Multiple Choice

Using the numbers you plotted on the number line, which of the following is a correct inequality statement using the symbols $$<$$ and $$>$$ ?

• a = b
• a < b
• a > b
• b < a