Question

Which among the following is false?

• A. Order of operands matters for addition and multiplication.
• B. Integers are not closed under the operation of division.
• C. 0 is the additive identity for integers.
• D. Negative integers are always smaller than 0.

Answer 1

The correct option is A Order of operands matters for addition and multiplication.

(i) Order of operands does not matter for addition and multiplication. This is also called commutative property.
$$a+b=b+aa\times b=b\times a$$

(ii) Integers are not closed under the operation of division.

Eg. $\frac{3}{4}=0.75\Rightarrow$ Not an integer.

(iii) 0 is the additive identity for integers.
Eg. 5 + 0 = 5

(iv) Negative integers are always smaller than 0.

Eg. -3 < 0 and -5 < 0.