Closure Property of Whole Numbers | Whole Numbers | Assessment | English | Grade 6

Whole numbers are closed under

• Division

• Subtraction

• Multiplication

• All of these

Answer explanation

The division and subtraction of whole numbers may not give a whole number but the multiplication of whole numbers always give whole number as a result. Hence whole numbers are closed under multiplication.

Tags

CCSS.7.NS.A.2C

When two natural numbers are multiplied, which of the following result can not be obtained?

• 1

• 0

• 100

• 2

Answer explanation

Natural numbers start from 1 and extends upto infinity. The product of any two natural numbers can not be 0 as 0 is a whole number.

Which example represents the closure property of whole numbers?

• 5 + 6 = 11

• 5 + 6 = 6 + 5

• 5 + (6 + 7) = (5 + 6) + 7

• 5 x ( 6 + 7 ) = 5 x 6 + 5 x 7

Answer explanation

Closure property of addition of whole numbers states that, if two whole numbers are added the result is always a whole number. In option 1, we see that two natural numbers 5 and 6 are added so as to get result 11 which is also a whole number. Hence option 1 is the correct answer.

Tags

CCSS.7.NS.A.1D

Which of the following example confirms that whole numbers are not closed under division?

• 4÷2 = 2

• 12 ÷ 3 = 4

• 12 ÷ 0 = undefined

• 15 ÷ 5 = 3

Answer explanation

On dividing a whole number with 0 is undefined hence we can not say that the division of whole numbers is also a whole number. Hence option 3 is the right answer.

Which of the following example confirms that whole numbers are not closed under subtraction?

• 3-4 = -1

• 3-3=0

• 4-3 = 1

• 3-0 =3

Answer explanation

Subtraction of whole numbers 3 and 4 is shown in option 1 which does not give a whole number, instead it gives an integer. Hence, it confirms that the subtraction of whole numbers is not closed under addition.

Tags

CCSS.7.NS.A.1D