📚 Topic Summary
The order of operations tells us the correct sequence to solve math problems with multiple operations. Remember PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) or BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction). Rational numbers are simply numbers that can be expressed as a fraction, like $\frac{1}{2}$, -0.75, or 3. When you combine order of operations with rational numbers, you need to follow PEMDAS/BODMAS carefully, performing each operation in the correct order to arrive at the correct answer.
🧮 Part A: Vocabulary
Match the term with its definition:
| Term |
Definition |
| 1. Parentheses |
A. The result of multiplication. |
| 2. Exponent |
B. Numbers that can be expressed as a fraction $\frac{p}{q}$, where p and q are integers and q ≠ 0. |
| 3. Product |
C. Symbols used to group parts of an expression. |
| 4. Rational Numbers |
D. A number that indicates how many times a base number is multiplied by itself. |
| 5. Quotient |
E. The result of division. |
✍️ Part B: Fill in the Blanks
Complete the following paragraph using the words: division, multiplication, addition, subtraction, PEMDAS.
When solving expressions, we follow the order of operations summarized by the acronym __________. This means we first address parentheses and exponents, followed by __________ and __________, and lastly __________ and __________. It's important to remember that __________ and __________ have equal priority, so we work from left to right.
🤔 Part C: Critical Thinking
Explain in your own words why it is important to follow the order of operations when evaluating expressions with rational numbers. Provide an example to illustrate your point.
