7th Grade Math Review: The Number System

Front

What is the distance between two points on a number line?

Back

The distance between two points on a number line is the absolute value of the difference between their coordinates.

Front

What is absolute value?

Back

Absolute value is the distance of a number from zero on the number line, regardless of direction. For example, |-5| = 5.

Front

What is the sum of two numbers?

Back

The sum of two numbers is the result of adding them together.

Front

What two numbers combine to have a sum of zero?

Back

Two numbers that are opposites, such as +5 and -5, combine to have a sum of zero.

Front

How do you find the absolute value of a number?

Back

To find the absolute value of a number, remove any negative sign. For example, | -3 | = 3.

Front

What does it mean for a number to have a greater absolute value?

Back

A number has a greater absolute value if it is further away from zero on the number line.

Front

What is the formula for finding the distance between two points A and B on a number line?

Back

Distance = |A - B|.

Front

If point A is at -11 and point B is at 9, what is the distance between them?

Back

Distance = |-11 - 9| = | -20 | = 20.

Front

What is the result of adding a negative number to a positive number?

Back

The result depends on the absolute values; if the positive number is larger, the result is positive, and if the negative number is larger, the result is negative.

Front

What is the number line?

Back

A number line is a straight line that represents numbers as points at equal intervals.