Adding Integers Worksheets 7th Grade with Answer Key
Integers can be a challenging concept for 7th graders to grasp, but with the right tools and practice, it becomes much easier. That's why we have created a set of worksheets specifically designed to help 7th-grade students understand and master adding integers. With our worksheets, students will have ample opportunities to practice their skills and reinforce their understanding of this important math topic. Plus, each worksheet comes with an answer key, so both students and teachers can easily check their work and track progress.
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What is an integer?
An integer is a whole number that can be either positive, negative, or zero and does not have any fractional or decimal part. It includes the numbers ...-3, -2, -1, 0, 1, 2, 3... and so on.
What is the rule for adding integers with the same sign?
When adding integers with the same sign (either both positive or both negative), you simply add their absolute values and keep the common sign. For example, when adding +5 and +3, you add 5 and 3 to get +8. Likewise, when adding -8 and -2, you add 8 and 2 to get -10.
What is the rule for adding integers with different signs?
When adding integers with different signs, subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.
How do you add three integers together?
To add three integers together, simply add the three numbers using the addition operator (+). For example, if you have integers 5, 3, and 8, you would add them together like this: 5 + 3 + 8 = 16.
When does the sum of two positive integers become negative?
The sum of two positive integers becomes negative only when the magnitude of the second integer is greater than the first integer or when both integers are equal but have opposite signs.
When does the sum of two negative integers become positive?
The sum of two negative integers becomes positive when the absolute value of one integer is greater than the absolute value of the other integer, such that the larger negative integer cancels out the smaller negative integer, resulting in a positive sum.
How do you add a positive integer to a negative integer?
When you add a positive integer to a negative integer, you will perform the operation by treating the sign of the integer with the larger absolute value as the sign of the result. Simply add the numbers together and assign the sign of the larger absolute value to the result. For instance, if you add 5 to -3, you would calculate 5 - 3 to get 2, and then keep the negative sign because -3 has a larger absolute value than 5.
How do you add a negative integer to a positive integer?
To add a negative integer to a positive integer, you simply subtract the absolute value of the negative integer from the positive integer. This is equivalent to adding a positive integer to another positive integer, but in this case you will end up with a negative result.
Can the sum of two integers be zero? If so, how?
Yes, the sum of two integers can be zero. This occurs when one integer is positive and the other is negative, with the magnitudes of the integers being the same. For example, if you add 5 and -5, the result is 0. This cancellation effect is possible because addition is the operation of combining two quantities, regardless of their signs, which can lead to a sum of zero when the magnitudes balance each other out.
How do you check the correctness of your answer when adding integers?
To check the correctness of your answer when adding integers, you can use the inverse operation of subtraction. This means that after adding the integers together, you can subtract one of the integers from the sum to see if you get the other integer as the result. If the subtraction yields the original integers, then your addition is correct. Additionally, you can use a calculator or online tool to verify your result by entering the integers and checking if the sum matches the answer you calculated manually.
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