Integers

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

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, the absolute value of -5 is 5.

Front

How do you find the difference between two integers?

Back

To find the difference between two integers, subtract the smaller integer from the larger integer. If the result is negative, it indicates the direction on the number line.

Front

What does it mean to add integers?

Back

Adding integers involves moving to the right on the number line if both integers are positive or if one is negative and the other is smaller in absolute value. If both are negative, you move left.

Front

What is the opposite of a number?

Back

The opposite of a number is the number that is the same distance from zero but in the opposite direction. For example, the opposite of 5 is -5.

Front

What is the result of adding a positive integer and a negative integer?

Back

The result depends on the absolute values of the integers. If the positive integer has a greater absolute value, the result is positive; if the negative integer has a greater absolute value, the result is negative.

Front

What is the significance of zero in integers?

Back

Zero is an integer that represents a neutral point on the number line. It is neither positive nor negative and serves as the starting point for positive and negative integers.

Front

How do you represent a number below sea level using integers?

Back

A number below sea level is represented as a negative integer. For example, 20 feet below sea level is represented as -20.

Front

What is the difference between rational numbers and integers?

Back

Rational numbers include integers, fractions, and decimals, while integers are only whole numbers (positive, negative, or zero) without any fractional or decimal parts.

Front

What is the process of subtracting integers?

Back

To subtract integers, you can add the opposite of the integer being subtracted. For example, to calculate 5 - (-3), you can rewrite it as 5 + 3.