Question

the product of two rational number is -3 .if one of them is -10/3,find the other number

Answer 1

Answer :-

• The other number is 9/10.

To find :-

• The other number.

Step-by-step explanation :-

One of the rational numbers is -10/3.

Let :-

• The other rational number be "x".

It is given that :-

• The product of these two rational numbers is -3.

Which means that :-

• The product of -10/3 and x is -3.

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Therefore :-

$\longmapsto\rm \dfrac{ - 10 }{ \: \: \: \: \: 3} \times x = - 3$

Transposing -10/3 from LHS to RHS, changing it's sign,

$\longmapsto\rm x = - 3 \div \dfrac{ - 10}{ \: \: \: \: \: 3}$

The reciprocal of -10/3 is 3/-10, so let's multiply -3 with 3/-10.

$\longmapsto\rm x = - 3 \times \dfrac{\: \: \: \: \: 3}{ - 10}$

Multiplying the numbers,

$\longmapsto\rm x = \dfrac{ \: \: \: \: \: -9}{ -10}$

Cutting off the negative sign,

$\underline{\boxed{\longmapsto\rm x = \dfrac{9}{ \: 10}}}$

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Hence :-

• The other number is 9/10.