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Adding and Subtracting Integers

Grade 7 · Math · Operations with Rational Numbers · Maryland, USA

Lesson Summary

Learn the rules for adding and subtracting positive and negative whole numbers.

Explanation

Integers include all positive and negative whole numbers plus zero. When you add two numbers with the same sign, add their absolute values and keep the sign. When the signs are different, subtract the smaller absolute value from the larger and use the sign of the larger. To subtract an integer, change the subtraction to addition of the opposite: a − b becomes a + (−b).

Practice Questions

Q1: Calculate −8 + 5.
Answer: The signs differ. 8 − 5 = 3, and the larger absolute value (8) is negative, so the answer is −3.
Q2: Calculate −6 − (−4).
Answer: Change to addition: −6 + 4 = −2.
Q3: Calculate 12 + (−17).
Answer: The signs differ. 17 − 12 = 5, and 17 is larger and negative, so the answer is −5.
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People Also Ask

What is Adding and Subtracting Integers in Grade 7 Math?+

Adding and Subtracting Integers is a lesson in the Operations with Rational Numbers chapter of Grade 7 Math. It is part of the Maryland, USA school curriculum and covers key concepts that students need to understand at this level.

What grade level covers Adding and Subtracting Integers?+

Adding and Subtracting Integers is taught in Grade 7 as part of the Math curriculum in Maryland, USA.

How can I help my child with Operations with Rational Numbers in Math?+

Start with the lesson summary and explanation on this page. Practice the questions provided, then use TutorTom for personalized, step-by-step help with Operations with Rational Numbers topics.

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