﻿ Fill in the blanks in the following table: Numbers Closed under   Addition Subtraction Multiplication Division Rational numbers Yes Yes   No Integers   Yes   No Whole numbers ...   Yes   Natural numbers   No         from Mathematics Rational Numbers Class 8 Manipur Board

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Complete the following table:

 Numbers Commutative for Addition Subtraction Multiplication Division Rational numbers Yes ... Integers No Whole numbers Yes Natural numbers No

 Numbers Commutative for Addition Subtraction Multiplication Division Rational numbers Yes No Yes No Integers Yes No Yes No Whole numbers Yes No Yes No Natural numbers Yes No Yes No
1291 Views

Complete the following table:

 Numbers Commutative for Addition Subtraction Multiplication Division Rational numbers Yes ... Integers No Whole numbers Yes Natural numbers No

 Numbers Commutative for Addition Subtraction Multiplication Division Rational numbers Yes No Yes No Integers Yes No Yes No Whole numbers Yes No Yes No Natural numbers Yes No Yes No
161 Views

Complete the following table:

 Numbers Associative for Addition Subtraction Multiplication Division Rational numbers No Integers Yes Whole numbers Yes Natural numbers No

 Numbers Associative for Addition Subtraction Multiplication Division Rational numbers Yes No Yes No Integers Yes No Yes No Whole numbers Yes No Yes No Natural numbers Yes No Yes No
1645 Views

Complete the following table:

 Numbers Associative for Addition Subtraction Multiplication Division Rational numbers No Integers Yes Whole numbers Yes Natural numbers No

 Numbers Associative for Addition Subtraction Multiplication Division Rational numbers Yes No Yes No Integers Yes No Yes No Whole numbers Yes No Yes No Natural numbers Yes No Yes No
216 Views

# Fill in the blanks in the following table: Numbers Closed under   Addition Subtraction Multiplication Division Rational numbers Yes Yes   No Integers   Yes   No Whole numbers ...   Yes   Natural numbers   No

Using the closure property over addition, subtraction, multiplication and division for rational numbers, integers, whole-numbers and natural numbers, we have:

 Numbers Closed under Addition Subtraction Multiplication Division Rational numbers Yes Yes Yes No Integers Yes Yes Yes No Whole numbers Yes No Yes No Natural numbers Yes No Yes No
3110 Views