Question

Which of the following statements are true?

• A. Both addition and multiplication are associative for whole numbers.
  
• B. Zero is the identity for multiplication of whole numbers.
• C. Addition and multiplication both are commutative for whole numbers.
• D. Multiplication is distributive over addition for whole numbers.

Answer 1

Answer: (A), (C), (D)

The correct options are
A Both addition and multiplication are associative for whole numbers.

C Addition and multiplication both are commutative for whole numbers.
D Multiplication is distributive over addition for whole numbers.

1) Both addition and multiplication are associative for whole numbers - While adding whole numbers, we can group the numbers in any order. This is called the associative property of addition. While multiplying whole numbers, we can group them in any order. This is called the associative property of multiplication. If a, b and c are any two whole numbers, then (a+b)+c = a+(b+c) and (a×b)×c = a×(b×c).
2) Addition and multiplication both are commutative for whole numbers - The sum of two whole numbers is the same, no matter in which order they are added. This is called the commutative property of addition. The product of two whole numbers is the same, no matter in which order they are multiplied. This is called the commutative property of multiplication. Subtraction and division are not commutative in whole numbers. If a and b are any two whole numbers, then a+b = b+a and a×b = b×a
3) Multiplication is distributive over addition for whole numbers - The product of a whole number with the sum of the two other whole numbers is equal to the sum of the products of the whole number with other two whole numbers. This is called the distributive property of multiplication over addition. If a, b and c are any two whole numbers, then a(b+c) = a×b + a×c