Answer: +30
Step-by-step explanation: Before jumping right into this problem, let's just review quickly what the vertical bars mean around 45 - 75.
The vertical lines are called absolute value and we use them around either side of the number. Absolute value means <em>distance from zero</em> on a number line. This will be very important to understand when doing this problem.
Before taking the absolute value of a number, always simplify what's inside the absolute value as much as possible.
So here we have |45 - 75| inside the absolute value which can be thought of as |45 + -75| or -30. So we have |-30| which is +30.
Remember that absolute value means <em>distance</em> <em>from zero</em> on a number line so the absolute value of -30 would be 30 because -30 is 30 units from zero on the number line.
This means that |45-75| is +30.
