Question

To get the product 1 , we should multiply (-8/21 ) by _____

Answer 1

To get the product 1 , we should multiply (-8/21 ) by (21/-8).

* More Info *

• In order to get the product as 1, multiply the number by its reciprocal.
• 1 is the multiplicative identity for numbers.

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Answer 2

To get product 1, we should multiply (-8/21 ) by -21/8.

• When a fraction a/b is multiplied with its reciprocal i.e. b/a, then 1 is obtained. Here, b/a is called the multiplicative inverse or the reciprocal of fraction a/b while 1 is called the multiplicative identity.
• So, in the given fraction -8/21, the reciprocal of the given fraction is -21/8 which when multiplied by the fraction -8/21 give the multiplicative identity one.
• Let x be the multiplicative inverse of -8/21.
• So, $\frac{ - 8}{21} \times x = 1$
• On solving, $\ x = \frac{ 21}{-8} \times 1$
• $x = \frac{ -21}{8}$