Order of Operations with Rationals
Grade 7 · Math · Operations with Rational Numbers · Northwest Territories, 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.
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 Northwest Territories, 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 Northwest Territories, 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.