Math Problem Statement
Simplify the expression 2(7 + 2 × 3) + 2 divided by 1/4.
Solution
The expression in the image is:
Let's break it down step by step.
Step 1: Evaluate the parentheses.
Inside the parentheses, you have: According to the order of operations (PEMDAS/BODMAS), you first multiply: So the expression inside the parentheses becomes:
Step 2: Simplify the numerator.
Now substitute this back into the original expression:
Step 3: Simplify the denominator.
The denominator is .
Step 4: Divide the numerator by the denominator.
Dividing by is the same as multiplying by 4:
So, the value of the expression is:
Do you want any further details or explanations on this?
Here are 5 related questions to explore:
- What is the general order of operations (PEMDAS/BODMAS) in mathematics?
- How do you handle expressions with multiple fractions?
- How would the result change if a different number replaced inside the parentheses?
- What happens if the fraction in the denominator was flipped?
- How can this expression be rewritten with all multiplication shown explicitly?
Tip: When dividing by a fraction, remember that dividing by is the same as multiplying by .
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Math Problem Analysis
Mathematical Concepts
Order of Operations
Arithmetic Operations
Division by Fractions
Formulas
PEMDAS/BODMAS
Division by a Fraction
Theorems
Basic Arithmetic Theorems
Suitable Grade Level
Grades 6-8