Determine the pattern in the sequences…

Mathematics Questions

Determine the pattern in the sequences: 5164 = 120, 8790 = 0, 4134 = 48. What is the value for 2353?

Short Answer

The given method involves analyzing relationships between numbers by multiplying their digits to derive a result. For the number 2353, the product of its digits (2 * 3 * 5 * 3) equals 90, indicating that 2353 corresponds to the result 90.

Step-by-Step Solution

Step 1: Analyze the Given Relationships

First, we need to examine the relationships between the numbers on the left and their corresponding results on the right. The examples provided are:

  • 5164 = 120
  • 8790 = 0
  • 4134 = 48

This suggests that a pattern or rule may dictate how we derive the results from the digit combinations in each number.

Step 2: Identify a Potential Pattern

To find a possible pattern, we can consider the products of the digits in each number. For instance, calculate the product for one example:

  • For 5164: 5 * 1 * 6 * 4 = 120
  • For 8790: 8 * 7 * 9 * 0 = 0 (since any multiplication involving zero equals zero)
  • For 4134: 4 * 1 * 3 * 4 = 48

It appears that the result on the right is derived from the multiplication of the digits on the left.

Step 3: Apply the Pattern to Solve for 2353

Now, let’s apply this identified pattern to solve for the number 2353. We can follow a similar process of digit multiplication:

  • For 2353: 2 * 3 * 5 * 3 = 90

Therefore, based on our analysis and multiplication, the conclusion is that 2353 equals 90.

Related Concepts

Relationship

A connection or association between two or more entities, in this case referring to how the numbers on the left relate to the results on the right.

Pattern

A predictable arrangement or sequence that emerges from a set of data, here referring to the systematic method used to derive results from the digit combinations.

Digit multiplication

The mathematical operation of multiplying individual digits within a number to obtain a product, which is used to calculate the results in the provided examples.

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