01. WHOLE NUMBERS
Explanation:
multiplication
Solution:
A) Multiplication of two whole numbers will result in a whole number.
Suppose, a and b are the two whole numbers and a × b = c, then c is also a whole number.
Let a = 10, b = 5, 10 × 5 = 50 (whole number). The whole number is closed under multiplication.
B) The closure property of the division tells that the result of the division of two whole numbers is not always a whole number.
Whole numbers are not closed under division i.e., a ÷ b is not always a whole number.
From the property, we have, 14 ÷ 7 = 2 (whole number) but 7 ÷ 14 = ½ (not a whole number).
C) When one whole number is subtracted from another, the difference is not always a whole number.
This means that the whole numbers are not closed under subtraction.
If a and b are two whole numbers and a − b = c, then c is not always a whole number.
Take a = 7 and b = 5, a − b = 7 − 5 = 2 and b − a = 5 − 7 = −2 (not a whole number).
Option A is correct.