Math Problem Statement

solve it

A boy multiplied 423 by a certain number and obtained 65589 as his answer. If both the fives are wrong in 65589 but the other digits are correct, then the right answer is:

Solution

The question provides an incorrect multiplication result of 65589 and says that both the "5"s in the number are wrong, but all other digits are correct. This means the correct number should have the same "6", "8", and "9", but the "5"s should be corrected.

The number is: 65589
To correct the two "5"s, we need to check the options that fit this pattern by changing both "5"s. The options are:

  • 63489
  • 60489
  • 62689
  • 60689

So, we substitute the wrong "5"s with correct digits.

By reviewing the options:

  • 60489: This changes the two "5"s to "0" and gives a reasonable answer.
  • Other options either don't change both "5"s or change more than needed.

The correct answer is 60489, as the "5"s are replaced by "0".

Would you like further details or explanations? Here are 5 related questions to expand your understanding:

  1. How do you verify if a multiplication result is incorrect?
  2. What mental math tricks can help with quick digit checking?
  3. How can common digit errors occur in long multiplication?
  4. Why is error correction important in mathematical calculations?
  5. How does pattern recognition help in solving numerical puzzles?

Tip: Always double-check the positions of digits when faced with common errors, like swapping or miswriting digits.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Digit Error Correction

Formulas

Multiplication rule: product = multiplicand × multiplier

Theorems

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Suitable Grade Level

Grades 5-7