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.

Respuesta :

Answer:

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

Step-by-step 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 [tex]\frac{1}{2}[/tex].

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

[tex]\frac{1}{3}[/tex] x [tex]\frac{2}{3}[/tex] = [tex]\frac{2}{9}[/tex]

or,

[tex]\frac{1}{2}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{4}[/tex]

or,

[tex]\frac{1}{2}[/tex] x [tex]\frac{2}{3}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

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.

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