Integers and Rational Numbers

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

Front

What are rational numbers?

Back

Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. Examples include 1/2, -3, and 0.75.

Front

How do you add integers with different signs?

Back

To add integers with different signs, subtract the smaller absolute value from the larger absolute value and keep the sign of the integer with the larger absolute value.

Front

What is 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, | -7 | = 7 and | 7 | = 7.

Front

How do you subtract integers?

Back

To subtract an integer, add its opposite. For example, to calculate 5 - (-3), you can rewrite it as 5 + 3 = 8.

Front

What is the result of adding two negative integers?

Back

The result of adding two negative integers is always a negative integer. For example, -4 + (-3) = -7.

Front

How do you compare integers?

Back

To compare integers, use the number line. The integer further to the right is greater. For example, -2 is greater than -5.

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). It is often remembered by the acronym PEMDAS.

Front

What is the sum of -15 and 9?

Back

The sum of -15 and 9 is -6.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal over 1 and multiply the numerator and denominator by 10 for each digit after the decimal point. For example, 0.75 = 75/100 = 3/4.