Practice30Create account

Which whole number can fill BOTH blanks so that the two sentences are true at the same time: 47 + ___ = 47 and 47 × ___ = 0?

Class 6Whole NumbersWhole Numbers
  • A1
  • B47
  • C0
  • DNo whole number works

Step-by-Step Solution

Adding 0 leaves 47 unchanged, because 0 is the additive identity, and multiplying by 0 gives 0. So 0 satisfies both sentences. Trying 1 gives 47 + 1 = 48 and , so neither sentence holds; 1 is the identity for multiplication, not for addition.
Answer: C) 0

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.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Whole Numbers practice questions

More Class 6 Whole Numbers practice

Sonal writes 15 ÷ 0 = 0 in her notebook. Why is this wrong?Which of these expressions has a value, and what is that value?A teacher asks the class to share 0 sweets equally among 8 children, and then to share 8…A square arrangement of dots grows by adding an L-shaped border each time: 1, then 1 + 3…A class wants to pin up photographs on a notice board in a full rectangle having more…