Math Problem Statement

5 × 5 + 5/3 × 10/5 + 30/2 × 4 - 100

Solution

The expression extracted from the image is:

5×5+53×105+302×41005 \times 5 + \frac{5}{3} \times \frac{10}{5} + \frac{30}{2} \times 4 - 100

Let's simplify and calculate it step by step:

  1. 5×5=255 \times 5 = 25
  2. 53×105=1×2=2\frac{5}{3} \times \frac{10}{5} = 1 \times 2 = 2
  3. 302×4=15×4=60\frac{30}{2} \times 4 = 15 \times 4 = 60
  4. Now combine all the results: 25+2+60100=1325 + 2 + 60 - 100 = -13

Thus, the final result of the expression is 13-13.

Would you like more details on any step? Here are some follow-up questions for further practice:

  1. What is the effect of changing the subtraction to addition in the expression?
  2. Can you write a similar expression but with exponents?
  3. How does changing the order of operations (using parentheses) affect the result?
  4. What happens if one of the fractions is inverted, such as 35\frac{3}{5} instead of 53\frac{5}{3}?
  5. How would you evaluate the same expression using decimals instead of fractions?

Tip: Always follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to get correct results.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Fractions
Order of Operations (PEMDAS)

Formulas

Multiplication of fractions: (a/b) × (c/d) = (a×c)/(b×d)
Order of operations: PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction)

Theorems

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Suitable Grade Level

Grades 6-8