Question

Write additive and mutiplicative inverse for this number

$1) \frac{4}{5} \\ \\ 2) - 6$
​

Answer 1

Step-by-step explanation:

Given:-

The fraction 4/5 and -6

To find:-

additive inverse and multiplicative inverses of

4/5 and -6

Solution:-

1)

Given fraction is 4/5

we know that

The additive inverse of a is -a

Additive inverse of 4/5 is -4/5

We know that

The multiplicative inverse of a = 1/a

The multiplicative inverse of 4/5 is

1/(4/5)

=>5/4

The multiplicative inverse of 4/5 is 5/4

_________________________________

2)

Given number is -6

we know that

The additive inverse of a is -a

Additive inverse of -6 is 6

We know that

The multiplicative inverse of a = 1/a

The multiplicative inverse of -6 is

1/-6

=> -1/6

The multiplicative inverse of -6 is -1/6

Solution:-

1)Additive inverse of 4/5 is -4/5

The multiplicative inverse of 4/5 is 5/4

2)Additive inverse of -6 is 6

The multiplicative inverse of -6 is -1/6

Used formulae:-

Additive inverse:-

The sum of any two numbers is zero then they are called additive inverse to each other .

The additive inverse of a is -a

Multiplicative inverse:-

The product of two numbers is 1 then the two numbers are called multiplicative inverse to each other.

The multiplicative inverse of a = 1/a

Answer 2

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Step-by-step explanation:

Given:-

The fraction 4/5 and -6

To find:-

additive inverse and multiplicative inverses of

4/5 and -6

Solution:-

1)

Given fraction is 4/5

we know that

The additive inverse of a is -a

Additive inverse of 4/5 is -4/5

We know that

The multiplicative inverse of a = 1/a

The multiplicative inverse of 4/5 is

1/(4/5)

=>5/4

The multiplicative inverse of 4/5 is 5/4

_________________________________

2)

Given number is -6

we know that

The additive inverse of a is -a

Additive inverse of -6 is 6

We know that

The multiplicative inverse of a = 1/a

The multiplicative inverse of -6 is

1/-6

=> -1/6

The multiplicative inverse of -6 is -1/6

Solution:-

1)Additive inverse of 4/5 is -4/5

The multiplicative inverse of 4/5 is 5/4

2)Additive inverse of -6 is 6

The multiplicative inverse of -6 is -1/6

Used formulae:-

Additive inverse:-

The sum of any two numbers is zero then they are called additive inverse to each other .

The additive inverse of a is -a

Multiplicative inverse:-

The product of two numbers is 1 then the two numbers are called multiplicative inverse to each other.

The multiplicative inverse of a = 1/a

⠀⠀⠀⠀●●●Hope it helps●●●

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