Math Problem Statement

2x4= 24 3x5= 40 4x6= 60 7x4= ?

Solution

The given equations don't follow the standard multiplication rules, so it appears there's a pattern or rule being applied. Let's analyze:

  1. 2 × 4 = 24
    Standard multiplication: 2×4=82 × 4 = 8, but here it gives 24.

  2. 3 × 5 = 40
    Standard multiplication: 3×5=153 × 5 = 15, but here it gives 40.

  3. 4 × 6 = 60
    Standard multiplication: 4×6=244 × 6 = 24, but here it gives 60.

The results seem to be using a rule where the product is modified, possibly by adding a certain value or multiplying differently.

If we look at the operations:

  • For 2 × 4 = 24: If you multiply 2 and 4, you get 8, but then it looks like the result is multiplied by 3 (since 8×3=248 × 3 = 24).
  • For 3 × 5 = 40: 3×5=153 × 5 = 15, and multiplying by about 2.67 gives 40.
  • For 4 × 6 = 60: 4×6=244 × 6 = 24, and multiplying by 2.5 gives 60.

This pattern involves multiplying the normal product by a number that changes depending on the input.

To predict 7 × 4:

  • Standard multiplication: 7×4=287 × 4 = 28
  • A plausible modification might be multiplying by 2 (a common multiplier), which gives 28×2=5628 × 2 = 56.

Thus, 7 × 4 could equal 56 based on a similar pattern.

Would you like to explore more about the pattern or ask any other questions?

Here are five related questions:

  1. Can you identify a general formula that fits the given data?
  2. What if the pattern changes for different inputs?
  3. How would this rule apply to other multiplication pairs?
  4. Is there a mathematical concept that describes this type of operation?
  5. How could you verify the pattern with additional examples?

Tip: When dealing with non-standard patterns, looking for consistent transformations or operations applied to the standard results can help reveal the underlying rule.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Patterns in Numbers

Formulas

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Theorems

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Suitable Grade Level

Grades 4-6