Which of the following statement is true?a)13 - 21 is not a whole numb...
Whole numbers are non-negative integers (e.g., 0, 1, 2, ...).
- For option A: 13 - 21 = -8, which is not a whole number. Therefore, statement A is true.
- Option B: 21 × 1 = 21 and 21 × 0 = 0. Since 21 ≠ 0, statement B is false.
- Option C: 21 - 13 = 8, which is a whole number. Therefore, statement C is false.
- Option D:
- Left side: 21 - (13 - 5) = 21 - 8 = 13;
- Right side: (21 - 13) - 5 = 8 - 5 = 3.
Since 13 ≠ 3, statement D is false.
Thus, the correct answer is A.
Which of the following statement is true?a)13 - 21 is not a whole numb...
Understanding the Statements
Let's evaluate each option to determine the correct answer.
Statement A: 13 - 21 is not a whole number
- Calculation: 13 - 21 = -8
- Explanation: The result is a negative number. Whole numbers are non-negative integers (0, 1, 2, ...). Hence, this statement is true.
Statement B: 21 × 1 = 21 × 0
- Calculation: 21 × 1 = 21 and 21 × 0 = 0
- Explanation: Since 21 is not equal to 0, this statement is false.
Statement C: 21 - 13 is not a whole number
- Calculation: 21 - 13 = 8
- Explanation: The result is a positive whole number. Thus, this statement is false.
Statement D: 21 – (13 - 5) = (21 - 13) - 5
- Calculation:
- Left side: 21 - (13 - 5) = 21 - 8 = 13
- Right side: (21 - 13) - 5 = 8 - 5 = 3
- Explanation: Since 13 does not equal 3, this statement is also false.
Conclusion
The only true statement among the options is A: 13 - 21 is not a whole number. This is because the result of the subtraction is negative, and negative numbers are not considered whole numbers.