Question

1. solve the following and circle the expression that does not equal the others. (1pt for correct answer, 1pt for showing your work) 15 - |-5| |-4| + 6 -|7 + 3| |-10|

Explanation:

Step1: Calculate 15 - |-5|

First, find the absolute - value of - 5. The absolute value of a number \(a\), denoted as \(|a|\), is the non - negative value of \(a\). So, \(|-5| = 5\). Then \(15-|-5|=15 - 5=10\).

Step2: Calculate |-4| + 6

Find the absolute value of - 4. \(|-4| = 4\). Then \(|-4|+6 = 4 + 6=10\).

Step3: Calculate -|7 + 3|

First, calculate the value inside the absolute - value: \(7 + 3=10\). Then take the absolute value: \(|10| = 10\). Finally, add the negative sign: \(-|7 + 3|=-10\).

Step4: Calculate |-10|

The absolute value of - 10 is \(|-10| = 10\).

Answer:

The expression \(-|7 + 3|\) does not equal the others.