Number Line Comparison: Finding the Larger Value Between -7 and 6

Question

Choose the expression that has a larger value.

AAA-7-7-7BBB-6-6-6CCC-5-5-5DDD-4-4-4EEE-3-3-3FFF-2-2-2GGG-1-1-1HHH000III111JJJ222KKK333LLL444MMM555NNN666

Video Solution

Step-by-Step Solution

First, let's look at the number line and locate each letter:

M+D=5+(4) M+D=5+(-4)

KF=3(2) K-F=3-(-2)

L+B=4+(6) L+B=4+(-6)

CF=5(2) C-F=-5-(-2)

Then we can solve the remaining exercises, remembering the rules:

+(x)=x +(-x)=-x

(x)=+x -(-x)=+x

Therefore:

M+D=5+(4)=54=1 M+D=5+\left(-4\right)=5-4=1

KF=3(2)=3+2=5 K-F=3-(-2)=3+2=5

L+B=4+(6)=46=2 L+B=4+(-6)=4-6=-2

CF=5(2)=5+2=3 C-F=-5-(-2)=-5+2=-3

K-F represents the largest value.

Answer

KF K-F