Math Problem Statement

What is the result of the mathematical expression 1 × 2 × 3 × 4 × 5 ÷ 6?

Solution

The expression shown in the image is:

1×2×3×4×5÷61 \times 2 \times 3 \times 4 \times 5 \div 6

Step-by-Step Solution:

  1. Multiply all the numbers in the numerator: 1×2×3×4×5=1201 \times 2 \times 3 \times 4 \times 5 = 120

  2. Divide the result by 6: 120÷6=20120 \div 6 = 20

Final Answer:

20\boxed{20}

Would you like a detailed explanation of each step or related problems to try?

Related Questions:

  1. What happens if you add brackets to this expression in different places?
  2. How would the result change if one of the numbers was replaced with a fraction?
  3. What is the factorial of 6, and how does it relate to this problem?
  4. How would the answer change if the division operator (÷) was instead a multiplication?
  5. What is the property of operations that ensures the order of multiplication doesn't matter?

Tip: Always handle operations in the correct order: multiplication and division from left to right, as specified in the order of operations (PEMDAS/BODMAS).

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Math Problem Analysis

Mathematical Concepts

Arithmetic Operations
Order of Operations (PEMDAS/BODMAS)

Formulas

Result = (Product of Numbers in Numerator) ÷ Denominator

Theorems

Associative Property of Multiplication
Order of Operations

Suitable Grade Level

Grades 5-7