For every non-zero rational number a - h there exists a rational c - d such that a - b - c - d -1- then the rational number C - d is known asA- Multiplicative identityB- Additive identityC- Additive inverseD- Multiplicative inverse

The correct option is D Multiplicative inverse For every non zero rational number a/b there exists a rational c/d such that a/b×c/d=1, then the rational number ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

Multiplication and Division of Rational Numbers

For every non...

Question

For every non-zero rational number $\frac{a}{b}$ there exists a rational $\frac{c}{d}$ such that $\frac{a}{b} \times \frac{c}{d} = 1$ , then the rational number $\frac{c}{d}$ is known as ___.

Additive identity

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Multiplicative identity

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Additive inverse

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Multiplicative inverse

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D Multiplicative inverse
For every non-zero rational number $\frac{a}{b}$ there exists a rational $\frac{c}{d}$ such that $\frac{a}{b} \times \frac{c}{d} = 1$ , then the rational number $\frac{c}{d}$ is known as multiplicative inverse.

Suggest Corrections

Similar questions

Q. For every non-zero rational number

\frac{a}{b}

there exists a rational

\frac{c}{d}

such that

\frac{a}{b} \times \frac{c}{d} = 1

, then the rational number

\frac{c}{d}

is known as

Q. Which of the following statements is true?

(i)

a (b + c) = a b + a c

is the distributive law for all rational numbers

a, b

and

c

(i i)

The rational number

1

is the multiplicative identity for rational numbers.

(i i i)

Additive inverse of rational number

\frac{a}{b}

\frac{c}{d}

\frac{a}{b}

\times

\frac{c}{d}

= 1

Question 11
If x + 0 = 0 + x = x, which is rational number, then 0 is called:
(a) identity for addition of rational numbers.
(b) additive inverse of x.
(c) multiplicative inverse of x.
(d) reciprocal of x.

Q. Write the additive inverse and multiplicative inverse of a rational number.

Question 10
Multiplicative inverse of a negative rational number is:
(a) a positive rational number.
(b) a negative rational number.
(c) 0
(d) 1

Join BYJU'S Learning Program

For every non-zero rational number ab there exists a rational cd such that ab×cd=1, then the rational number cd is known as ___.

The correct option is D Multiplicative inverse For every non-zero rational number ab there exists a rational cd such that ab×cd=1, then the rational number cd is known as multiplicative inverse.

For every non-zero rational number $\frac{a}{b}$ there exists a rational $\frac{c}{d}$ such that $\frac{a}{b} \times \frac{c}{d} = 1$ , then the rational number $\frac{c}{d}$ is known as ___.

The correct option is D Multiplicative inverse
For every non-zero rational number $\frac{a}{b}$ there exists a rational $\frac{c}{d}$ such that $\frac{a}{b} \times \frac{c}{d} = 1$ , then the rational number $\frac{c}{d}$ is known as multiplicative inverse.