# 7.1e - Absolute Value

7.1  The student will

e)  identify and describe absolute value of rational numbers.

### BIG IDEAS

• I can avoid getting a speeding ticket, find total distances traveled regardless of direction, figure the commission charged for exchanging currency, and verify monthly balance of bank account after deposits and withdrawals.

• I will realize that absolute value refers to the distance, difference, and change between locations and magnitudes of numbers.

### UNDERSTANDING THE STANDARD

·  The absolute value of a number is the distance from 0 on the number line regardless of direction. Distance is positive (e.g., ).

·   The absolute value of zero is zero.

### ESSENTIALS

• Why is the absolute value of a number positive?
The absolute value of a number represents distance from zero on a number line regardless of direction. Distance is positive.

The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

·  7.1e1  Demonstrate absolute value using a number line.

·  7.1e2  Determine the absolute value of a rational number.

·  7.1e3  Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle to solve practical problems.

### KEY VOCABULARY

rational, absolute value, equivalent, integer, positive, negative, zero, compare, number line, distance

Updated: Jul 30, 2019