 # Numbers & Their Opposites (Grade 6)

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Examples, solutions, videos, and lessons to help Grade 6 students understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.

A. Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., –(–3) = 3, and that 0 is its own opposite.

B. Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes.

C. Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.

Common Core: 6.NS.6a and 6.NS.6c

### Suggested Learning Targets

• I can describe the meaning of opposites.
• I can identify the location of zero on a number line in relation to positive and negative numbers.
• I can recognize opposite signs of numbers as locations on opposite sides of 0 on the
number line.
• I can reason that a double negative, e.g., -(-2) is the opposite of that number itself
• I can graph ordered pairs and describe their location and relationship to other points.
The following figure shows numbers and their opposites on the number line. Scroll down the page for examples and solutions. Positioning numbers and their opposites on a number line (Common Core 6.NS.6a)
Opposite Numbers (6.NS.6)
The opposite of a number is the number that is the same distance from zero, on the other side of zero.
Rule: The opposite of the opposite of a number is that number.
Rule: The negative of a negative is positive.

Opposite of a given number. (Integers) (Common Core 6.NS.6a) Comparing Rational Numbers. (Common Core 6.NS.6c)

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.  