Math Problem Statement

Which one of the following statements is true?

Zero in the quotient makes the answer undefined.

Zero in the product makes the answer undefined.

Zero in the dividend makes the answer undefined.

Zero in the divisor makes the answer undefined.

Solution

The correct statement is:

Zero in the divisor makes the answer undefined.

Explanation:

  • Division by zero is undefined in mathematics. For example, trying to calculate a0\frac{a}{0} (where aa is any number) is undefined because there's no number that, when multiplied by zero, would give the dividend aa.
  • Zero in the quotient, product, or dividend does not make the expression undefined. These cases result in defined values depending on the context.

Let me know if you'd like further details or clarification!

Here are 5 related questions:

  1. What happens if zero is in the dividend but the divisor is non-zero?
  2. Can zero be a factor in multiplication? If yes, what is the result?
  3. What are the rules for handling division by zero in calculus?
  4. How is division by zero treated in real-world applications?
  5. What is the difference between undefined and indeterminate forms in mathematics?

Tip: Always remember, dividing by zero is undefined, but multiplying by zero always gives zero.

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Math Problem Analysis

Mathematical Concepts

Division
Undefined operations
Zero in mathematics

Formulas

Division formula: a / b
Undefined when b = 0

Theorems

Division by zero is undefined

Suitable Grade Level

Grades 5-7