Question

Which statement is true?

a. Multiplying decimals less than one is taking a part of a whole.

b. Multiplying decimals less than one is finding a part of a part.

c. Multiplying decimals less than one can be shown as repeated addition.

d. Multiplying decimals less than one can be shown as repeated subtraction.

Answer 1

b. Multiplying decimals less than one is finding a part of a part.

Explanation:

A part of a given number implies a selected part of a given number which can be expressed as a fraction of the number. Example, the half of any number is
`(1)/(2)`.

The product of a part and another part can be expressed as;

`(1)/(3)` x
`(2)/(3)` =
`(2)/(9)`

or,

`(1)/(2)` x
`(1)/(2)` =
`(1)/(4)`

or,

`(1)/(2)` x
`(2)/(3)` =
`(2)/(6)` =
`(1)/(3)`

The three examples shows: a part x a part.

Therefore, it would be observed that multiplying decimals less than one is the same as finding a part of a part.