Question

2.Write the following multiplicative inverse or reciporsal of the following numbers

A. 1/5
B. -13
C. -13/19
D. -5/8×-3/7​

Answer 1

Step-by-step explanation:

A. 5

B. 1/-13

C. 19/-13

D. 8/-5 × 7/ -3

Answer 2

${\huge{\underline{\boxed{\red{\mathcal{Answer}}}}}}$

Understanding Concept:

• Reciprocal or multiplicative inverse of a number is that number which when multiplied by the number gives 1.
• In simple words, reciprocal of a number x is 1/x.

To find:

• Reciprocal of given numbers

Solution:

$1.\: \dfrac{1}{5} \\ \\ \implies \dfrac{1}{\left(\dfrac{1}{5} \right) } \\ \\ \implies \dfrac{5}{1} \\ \\ \bold { \implies 5} \\ \\ \\2.\: -13 \\ \\ \implies \dfrac{1}{-13} \\ \\ \bold{\implies \dfrac{-1}{13}} \\ \\ \\3.\: \dfrac{-13}{19} \\ \\ \implies \dfrac{1}{ \left( \dfrac{-13}{19} \right) } \\ \\ \implies \dfrac{19}{-13} \\ \\ \bold {\implies \dfrac{-19}{13} } \\ \\ \\4. \: \dfrac{-5}{8}\times \dfrac{-3}{7} \\ \\ \implies \dfrac{1}{ \left( \dfrac{-5}{8} \right) } \times \dfrac {1}{ \left( \dfrac{-3}{7}\right)} \\ \\ \implies \dfrac{8}{-5} \times \dfrac{7}{-3} \\ \\ \implies \dfrac{8\times 7}{-5\times -3} \\ \\ \bold {\implies \dfrac{56}{21} }$

Hope it helps!