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lilavasa [31]
3 years ago
11

The product of two fractions that are each between 0 and 1 is also between 0 and 1.

Mathematics
2 answers:
Zolol [24]3 years ago
8 0

Answer:

Yes, it is a true statement, that  product of two fractions that are each between 0 and 1 is also between 0 and 1.

For example

a=0.2

b=0.5

→a × b

=0.2 × 0.5

=0.10

Take ,another example

a=0.9

b=0.25

→a × b

=0.9 × 0.25

=0.225

In both the cases, number is less than 1, when you have multiplied two numbers between 0 and 1.

Len [333]3 years ago
5 0

They would be any fraction between 0 and 1.

Example- 1/3 * 1/2 = 1/6 (They all are less than one)

                1/5 * 1/8 = 1/40

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Step-by-step explanation:

\textsf{\large{\underline{Solution}:}}

<h3><u>Given That:</u></h3>

\rm: \longmapsto (3 - 4i)(x + iy) = 1 + 0i

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<u>Multiplying (ii) by 3, we get:</u>

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\rm: \longmapsto x =  \dfrac{3}{25}

<u>Therefore:</u>

\rm: \longmapsto (x,y)= \bigg(  \dfrac{3}{25}, \dfrac{4}{25} \bigg)

★ <u>Which is our required answer.</u>

\textsf{\large{\underline{More To Know}:}}

\rm1.\  i^{4n} = 1

\rm2. \ i^{4n+1} = i

\rm3.\  i^{4n+2} = -1

\rm4.\ i^{4n+3} = -i

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