Math Problem Statement

What number completes the pattern? Note that there is a single algebraic equation (limited to the basic arithmetic operations of addition, subtraction, multiplication, and division) that repeats across all rows.

Solution

To solve this pattern, we will examine each row and look for a consistent arithmetic operation that can be applied across the rows.

Let's analyze each row individually:

  1. First row: 9, 1, 6, 4
    We can check different operations:

    • 91=89 - 1 = 8, but 8648 - 6 \neq 4
    • 9÷1=99 \div 1 = 9, but 9÷649 \div 6 \neq 4
    • 9+1=109 + 1 = 10, but 106410 - 6 \neq 4

    Let's instead try multiplication and division:

    • 9÷1=99 \div 1 = 9, 96=39 - 6 = 3, and 3+1=43 + 1 = 4

This could be a combination of operations involving subtraction, addition, and division. Let's apply this idea to the next rows.

  1. Second row: 4, 5, 7, 2
    Applying similar logic:
    • 4×1=44 \times 1 = 4, 4+3=74 + 3 = 7, but does not fit
    • Let’s try adjusting

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Math Problem Analysis

Mathematical Concepts

Algebra
Patterns
Basic Arithmetic

Formulas

Basic Arithmetic Operations: addition, subtraction, multiplication, division

Theorems

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Suitable Grade Level

Grades 5-8