Number opposites 2

The  exercise appears under the 6th grade (U.S.) Math Mission. This exercise emphasizes a geometric understanding of the opposite of numbers on a number line.

Types of Problems
There is one type of problem in this exercise:


 * 1) Select all statements that are true: This problem has a number line with several points that are labeled with letters. The student is asked to concentrate on the opposite of one of the points and select all statements that are true of that point.Numopp2-1.png

Strategies
Knowledge of additive inverses for integers and graphing numbers on a number line are encouraged to ensure success on this exercise.
 * 1) The additive inverse of a number is called the opposite, and it is formed by placing a negative sign in front of the number.
 * 2) Geometrically, the opposite of a number is the reflection over the origin (0).
 * 3) The opposite of x is -x, whether x itself is positive or negative value. Therefore having a - in front of a variable does not imply the value is negative.
 * 4) Zero is the unique number with the property that -0=0. This fact occurs often in the exercise.

Real-life Applications

 * 1) A geometric understanding of arithmetic and numbers can increase ability to do mental math and make efficient estimates to values.