Zero property

The zero property, also known as the multiplication property of zero, states that the product of any number and zero is always zero. In mathematical terms, it can be represented as:

a * 0 = 0

0 * a = 0

This property is a fundamental concept in arithmetic and algebra, and it is important to understand and apply it in various mathematical problems and equations.

Study Guide

To understand and apply the zero property, here are some key points to remember:

Any number multiplied by zero equals zero.
The order of multiplication does not matter when zero is involved.
When solving equations or simplifying expressions, the zero property can be used to identify and manipulate terms involving zero.

Examples

Let's look at some examples to illustrate the zero property:

5 * 0 = 0

0 * 12 = 0

(2x + 3) * 0 = 0

◂Math Worksheets and Study Guides Sixth Grade. Plotting Points

Vocabulary/Answer key

Plotting Points

The resources above cover the following skills:

The Number System

Apply and extend previous understandings of numbers to the system of rational numbers.

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. [6-NS6]

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. [6-NS6b]

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. [6-NS6c]

Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. [6-NS8]