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

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, the absolute value of -3 is 3.

Front

What is the sum of two integers?

Back

The sum of two integers is the result of adding them together. For example, -7 + 2 = -5.

Front

How do you represent integers on a number line?

Back

Integers are represented on a number line as points that are evenly spaced, with negative integers to the left of zero and positive integers to the right.

Front

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

Back

The distance between two integers is the absolute value of the difference between them. For example, the distance from -7 to 5 is | -7 - 5 | = 12.

Front

What is the result of subtracting a positive integer from a negative integer?

Back

Subtracting a positive integer from a negative integer results in a more negative integer. For example, -9 - 5 = -14.

Front

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

Back

Adding a negative integer to a positive integer can result in a positive or negative integer, depending on the values. For example, 3 + (-9) = -6.

Front

What is the rule for adding integers with the same sign?

Back

When adding integers with the same sign, add their absolute values and keep the common sign. For example, -3 + (-5) = -8.

Front

What is the rule for adding integers with different signs?

Back

When adding integers with different signs, subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value. For example, -7 + 2 = -5.

Front

How do you multiply two integers?

Back

To multiply two integers, multiply their absolute values and apply the following rules: the product is positive if both integers have the same sign, and negative if they have different signs.