Math Problem Statement
Solution
We are asked to evaluate the expression:
We will follow the order of operations (PEMDAS) step by step.
Step 1: Simplify inside the brackets
Subtracting a negative number is equivalent to adding the positive:
So the expression now becomes:
Step 2: Perform multiplication and division from left to right
-
Multiply and :
-
Divide by :
Final Answer:
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Related Questions:
- How do you solve expressions using the order of operations (PEMDAS)?
- What happens when subtracting negative numbers?
- Can you explain the rules for multiplying and dividing negative numbers?
- What is the difference between parentheses and brackets in math expressions?
- Why is it important to perform operations from left to right in math?
Quick Tip:
Remember that when dividing or multiplying two negative numbers, the result is positive.
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Math Problem Analysis
Mathematical Concepts
Order of Operations (PEMDAS)
Multiplication and Division of Integers
Operations with Negative Numbers
Formulas
PEMDAS: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right)
Theorems
Rule for subtracting a negative number: a - (-b) = a + b
Multiplication and Division of Signed Numbers: A negative ÷ negative = positive
Suitable Grade Level
Grade 6-8