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The kangaroo starts at 0 and makes equal jumps along the number line. If it keeps jumping the same way, on which of these numbers will it land?

Class 6Whole NumbersWhole Numbers
  • A91
  • B87
  • C75
  • D100

Step-by-Step Solution

It lands on 0, 7, 14, 21, 28, … — the multiples of 7. , so it lands on 91. 87, 75 and 100 leave remainders 3, 5 and 2 when divided by 7.
Answer: A) 91

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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