Integers and Rational Number Concepts

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but not a fraction or decimal.

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you find the absolute value of a number?

Back

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

Front

What is the opposite of a number?

Back

The opposite of a number is the number that is the same distance from zero on the number line but in the opposite direction. For example, the opposite of -3 is 3.

Front

How do you compare two integers?

Back

To compare two integers, you can use the symbols < (less than), > (greater than), or = (equal to). For example, -4 < 4.

Front

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

Back

The distance between two points on a number line is found by taking the absolute value of the difference between the two numbers. For example, the distance between -7 and 5 is |-7 - 5| = 12.

Front

How do you convert a fraction to a decimal?

Back

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 1/4 = 0.25.

Front

What is the process to order rational numbers from least to greatest?

Back

To order rational numbers from least to greatest, convert them to a common format (like decimals or fractions) and then compare their values.

Front

What is the significance of the number zero in integers?

Back

Zero is the integer that separates positive integers from negative integers on the number line. It is neither positive nor negative.

Front

How do you find the distance between a number and zero?

Back

The distance between a number and zero is the absolute value of that number. For example, the distance from -8 to 0 is |-8| = 8.