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Order of Operations with Rationals

Grade 7 · Math · Operations with Rational Numbers · British Columbia, Canada

Lesson Summary

Apply the correct order of operations when working with rational numbers.

Explanation

The order of operations (often remembered as PEMDAS) tells you to handle Parentheses first, then Exponents, then Multiplication and Division from left to right, and finally Addition and Subtraction from left to right. When rational numbers include negatives, fractions, or decimals, the rules stay the same. Always simplify inside grouping symbols first before moving outward.

Practice Questions

Q1: Evaluate: 3 + 2 × (−4).
Answer: Multiply first: 2 × (−4) = −8. Then add: 3 + (−8) = −5.
Q2: Evaluate: (−6 + 2)² ÷ 8.
Answer: Parentheses first: −6 + 2 = −4. Exponent: (−4)² = 16. Divide: 16 ÷ 8 = 2.
Q3: Evaluate: −1/2 × (4 − 10) + 3.
Answer: Parentheses: 4 − 10 = −6. Multiply: −1/2 × (−6) = 3. Add: 3 + 3 = 6.
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People Also Ask

What is Order of Operations with Rationals in Grade 7 Math?+

Order of Operations with Rationals is a lesson in the Operations with Rational Numbers chapter of Grade 7 Math. It is part of the British Columbia, Canada school curriculum and covers key concepts that students need to understand at this level.

What grade level covers Order of Operations with Rationals?+

Order of Operations with Rationals is taught in Grade 7 as part of the Math curriculum in British Columbia, Canada.

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.

More Lessons in Operations with Rational Numbers

Adding and Subtracting IntegersMultiplying and Dividing IntegersOperations with FractionsOperations with DecimalsOrder of Operations with Rationals

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