Operations with 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 is a rational number?

Back

A rational number is any number that can be expressed as a fraction or ratio of two integers, where the denominator is not zero. Examples include 1/2, -3, and 0.75.

Front

How do you subtract a larger integer from a smaller integer?

Back

When subtracting a larger integer from a smaller integer, the result is negative. For example, 7 - 26 = -19.

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, | -5 | = 5.

Front

How do you add two negative integers?

Back

When adding two negative integers, the result is also negative. For example, -3 + -4 = -7.

Front

What is the result of -17 - 4?

Back

The result is -21.

Front

How do you find the distance between two points on a number line?

Back

To find the distance between two points, subtract the smaller number from the larger number and take the absolute value. For example, the distance between -40 and 12 is |-40 - 12| = 52.

Front

What happens when you add a positive integer to a negative integer?

Back

When adding a positive integer to a negative integer, the result depends on the absolute values. If the positive integer is larger, the result is positive; if the negative integer is larger, the result is negative.

Front

What is the result of 6 - 15 + 12?

Back

The result is 3 yards.

Front

How do you interpret a negative balance in a bank account?

Back

A negative balance indicates that the account is overdrawn, meaning the account holder owes money to the bank.