QUESTION IMAGE
Question
lesson 24 | session 2
apply it
use what you learned to solve these problems.
7 plot and label the numbers -6.5 and -8.5 on the number line. then write an inequality using the symbol > to compare the two numbers.
(number line image with 0 and 5 marked)
solution
Step1: Understand Number Line Placement
Negative numbers are to the left of 0. Each tick mark's value: Since 0 to 5 has several ticks, assume each tick is 1 unit? Wait, no, for -6.5 and -8.5, we need to place them. Let's see: -8.5 is more negative (left) than -6.5. So on the number line, -8.5 is to the left of -6.5.
Step2: Compare Using >
On a number line, a number to the right is greater. So -6.5 is to the right of -8.5, so \(-6.5 > -8.5\).
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\(-6.5 > -8.5\) (For plotting: -8.5 is 8.5 units left of 0, -6.5 is 6.5 units left of 0; -6.5 is to the right of -8.5 on the number line.)