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Which of these expressions has a value, and what is that value?

Class 6Whole NumbersWhole Numbers
  • A23 ÷ 0, and it equals 0
  • B23 ÷ 0, and it equals 23
  • C0 ÷ 23, and it equals 0
  • DBoth 0 ÷ 23 and 23 ÷ 0 equal 0

Step-by-Step Solution

0 ÷ 23 = 0, because . But 23 ÷ 0 is not defined at all, since no number times 0 gives 23. The order matters: zero as the DIVIDEND is perfectly fine, while zero as the DIVISOR is not allowed.
Answer: C) 0 ÷ 23, and it equals 0

Key idea: From counting to whole numbers

Natural numbers (1, 2, 3, …) answer 'how many?' when there is at least one of something. But what if there are none? You need a number for that — and that number is zero. Adding 0 to the natural numbers gives the whole numbers: 0, 1, 2, 3, …. Every whole number sits at a fixed point on the number line, and they never run out — for any whole number you pick, there is always a larger one.

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