Math Problem Statement

Fill in the missing values for the following mathematical expressions: (α) 225 ÷ 25 = ? (γ) 720 ÷ 40 · 80 = ? (ε) 300 ÷ 6 = 900.

Solution

The image contains several mathematical expressions, and it looks like the task is to complete the missing values. Let's analyze and solve the given problems:

  1. (α) 225 ÷ 25 = ? 225÷25=9225 \div 25 = 9 So, the missing value is 9.

  2. (γ) 720 ÷ 40 = ? 720÷40=18720 \div 40 = 18 And the expression is 18 · 80 = ? 18×80=144018 \times 80 = 1440 So, the missing value is 1440.

  3. (ε) 300 ÷ 6 = 900 This equation is written as if it is an equality, but 300 ÷ 6 does not equal 900. Let's find the correct answer: 300÷6=50300 \div 6 = 50 So, it seems the equation needs to be corrected to 300 ÷ 6 = 50.

Would you like more details on any part of the solution? Here are five related questions:

  1. How do you calculate division of large numbers quickly?
  2. What strategies can be used to double-check multiplication results?
  3. Can you explain why the final equation, 300 ÷ 6 = 900, might be incorrect?
  4. How would you simplify the expression 1440 ÷ 18 in reverse?
  5. What are some common mistakes when dividing by large divisors?

Tip: Always double-check the order of operations in more complex calculations like combined division and multiplication.

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Math Problem Analysis

Mathematical Concepts

Division
Multiplication

Formulas

Division: a ÷ b = result
Multiplication: a × b = result

Theorems

Basic arithmetic operations

Suitable Grade Level

Grades 4-6