Adding Subtracting Integers Worksheet PDF

Introducing our new addition and subtraction integers worksheet PDFs, ideal for students in middle school and high school. These worksheets are designed to reinforce and enhance students' understanding of this mathematical concept. With a wide range of practice problems, our worksheets are the perfect tool for teachers and parents looking to provide their students with extra practice in a clear and concise format.

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What are integers?

Integers are whole numbers that can be positive, negative, or zero, and do not have any fractional or decimal parts. They include numbers such as -3, -2, -1, 0, 1, 2, 3, and so on, and are used to represent counts or discrete quantities in mathematics.

How do you add two positive integers?

To add two positive integers, simply sum the two numbers together. Add the digits in each place value starting from the units place. If the sum of any two digits in the same place value is greater than 10, carry over the tens place and continue with the addition.

How do you subtract a negative integer from a positive integer?

Subtracting a negative integer from a positive integer is equivalent to adding the absolute value of the negative integer to the positive integer. In other words, you keep the sign of the positive integer and change the subtraction to addition. For example, 7 - (-3) is the same as 7 + 3, which equals 10.

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

When you add a positive integer and a negative integer together, you perform the subtraction of the numbers' absolute values while considering the sign of the larger absolute value. The result will be a number with the sign of the integer that has the larger absolute value.

Can you give an example of subtracting two negative integers?

Certainly! An example of subtracting two negative integers would be -5 - (-3) = -5 + 3 = -2. In this case, we are subtracting a negative integer (-3) from another negative integer (-5), which results in a negative number (-2).

How do you add a positive integer to a negative integer?

To add a positive integer to a negative integer, you can treat it as a subtraction problem. Subtract the absolute value of the negative integer from the positive integer. If the positive integer is greater in value, the sum will be positive. If the negative integer is greater, the sum will be negative. The sign of the result will be the same as the integer with the greater absolute value.

Is the sum of two negative integers always negative?

Yes, the sum of two negative integers is always negative because adding negative numbers together results in a larger negative number. The negative sign is retained in the sum as it indicates a decrease or subtraction from zero.

Can you provide an example of subtracting a positive integer from a negative integer?

Certainly! An example of subtracting a positive integer from a negative integer is: -5 - 3 = -8. In this case, the negative integer (-5) is larger than the positive integer (3), so the result is a negative number (-8).

What happens when you add two positive integers with different signs?

When you add two positive integers with different signs, the result will depend on the absolute values of the numbers. For example, if you add a positive integer (+5) and a negative integer (-3), you effectively find the difference between the two numbers by subtracting the smaller absolute value from the larger one. In this case, you would subtract 3 from 5, resulting in a positive value of 2.

Explain how to subtract a positive integer from a negative integer.

To subtract a positive integer from a negative integer, you can think of it as adding a negative number. Simply subtract the absolute value of the positive integer from the absolute value of the negative integer and then assign the negative sign to the result. For example, if you want to subtract 5 from -3, you would calculate -3 - 5 = -8.