Adding Integers

Front

What is the result of adding two negative integers, for example, -14 + (-3)?

Back

The result is -17. When adding two negative integers, the sum is also negative and is found by adding their absolute values.

Front

What is the result of adding a positive integer to a negative integer, for example, 2 + (-21)?

Back

The result is -19. When adding a positive integer to a negative integer, 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 result of adding a positive integer to a negative integer, for example, 2 + (-8)?

Back

The result is -6. Similar to the previous example, subtract the smaller absolute value from the larger absolute value.

Front

What is the result of adding a negative integer to a positive integer, for example, -2 + 4?

Back

The result is 2. When a positive integer is added to a negative integer, if the positive integer is larger, the result is positive.

Front

What is the result of adding a positive integer to a negative integer, for example, 7 + (-3)?

Back

The result is 4. Here, 7 is larger than 3, so the result is positive.

Front

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

Back

If two integers have the same sign, add their absolute values and keep the common sign.

Front

What is the rule for adding two integers with different signs?

Back

If two integers have different signs, subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value.

Front

How do you visualize adding integers on a number line?

Back

To visualize adding integers on a number line, start at the first integer and move to the right for positive integers and to the left for negative integers.

Front

What is the sum of -5 and -10?

Back

The sum is -15. Both integers are negative, so you add their absolute values and keep the negative sign.

Front

What is the sum of 8 and -3?

Back

The sum is 5. Since 8 is larger than 3, the result is positive.