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Read the three arrows on the number line in order: 1st, 2nd, then 3rd. Which number sentence do they show?

Class 6Whole NumbersWhole Numbers
  • A8 + 6 + 9 = 23
  • B8 − 6 + 9 = 11
  • C14 − 5 = 9
  • D8 + 6 − 9 = 5

Step-by-Step Solution

The 1st arrow goes 0 → , the 2nd goes 8 → , and the 3rd goes BACK from 14 to 5, a jump of 9 to the left . So . A jump to the left means subtracting.
Answer: D) 8 + 6 − 9 = 5

Key idea: Closure: when an operation 'stays inside' the whole numbers

Adding two whole numbers always gives a whole number — addition is **closed** on whole numbers. Multiplying two whole numbers always gives a whole number — multiplication is **closed** too. But subtraction is **not** closed: 5 − 7 = −2, which is not a whole number. Division is also not closed: 7 ÷ 2 = 3.5, not a whole number. Closure is the property that lets us trust an operation never to take us 'outside' the world of whole numbers.

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