Answer: [tex] \tt{ \large{ \fbox{ \red{❥Q}}{ \large{ \fbox{ \pink{ Ú}}{ \fbox{ \purple{Ê}}{ \fbox{ \red{S}}\fbox{ \blue{T}}{ \fbox{ \green{Í}}{ \fbox{ \orange{Õ}}{ \fbox{ \color{blue}{N}}}}}}}}}}}[/tex] Q. What is the multiplicative inverse of the following? ० -1 ०[tex]\frac{1}{2}[/tex] [tex] \tt{ \large{ \fbox{ \red{❥À}}{ \large{ \fbox{ \pink{N}}{ \fbox{ \purple{S}}{ \fbox{ \red{W}}\fbox{ \blue{Ê}}{ \fbox{ \green{R}}}}}}}}}[/tex] [tex] \large{ \frak{ \underline{Solⁿ 1:}}}[/tex] [tex] \frak{ \pink{ \underline{ \purple{Multiplicative \: inverse \: of \: -1 }}}}[/tex] Let the multiplicative inverse of -1 be x [tex]{ \sf{ – 1 \times x = 1}}[/tex] [tex]{ \sf{x = \frac{1}{ – 1} = – 1}}[/tex] [tex] \pink{ \fbox{∴ x = -1}}[/tex] -1 is the multiplicative inverse of -1 [tex]\large{ \frak{ \underline{Solⁿ 2:}}}[/tex] [tex]\frak{ \blue{ \underline{ \red{Multiplicative \: inverse \: of \: \frac{1}{2} }}}}[/tex] Let the multiplicative inverse of [tex]\frac{1}{2}[/tex] be y. [tex]{ \sf{ \frac{1}{2} \times y = 1}}[/tex] [tex] \sf{y = \frac{2}{1} = 2}[/tex] [tex]\blue{ \fbox{∴ y= 2}}[/tex] 2 is the multiplicative inverse of [tex]\frac{1}{2}[/tex]. [tex] \large \frak{ \underline{ \dag{ \: More \: information : }}}[/tex] • Multiplicative inverse is also known as reciprocal. • When a number is multiplied by its Multiplicative inverse, its value is 1. • The form is such that, [tex] \frac{a}{b}[/tex] = [tex] \frac{b}{a}[/tex]. [tex] \\ [/tex] [tex] \sf{ \blue{Hope \: it \: helps…}}[/tex] [tex]{ \huge{ \pink{ \underline{ \: \: \: \: \: \: \: \: \: \: \: }}{ \purple{ \underline{ \: \: \: \: \: \: \: \: \: \: \: }}{ \red{ \underline{ \: \: \: \: \: \: \: \: \: \: \: }}{ \blue{ \underline{ \: \: \: \: \: \: \: \: \: \: \: }}}}}}}[/tex] Reply
Answer:
[tex] \tt{ \large{ \fbox{ \red{❥Q}}{ \large{ \fbox{ \pink{ Ú}}{ \fbox{ \purple{Ê}}{ \fbox{ \red{S}}\fbox{ \blue{T}}{ \fbox{ \green{Í}}{ \fbox{ \orange{Õ}}{ \fbox{ \color{blue}{N}}}}}}}}}}}[/tex]
Q. What is the multiplicative inverse of the following?
० -1
०[tex]\frac{1}{2}[/tex]
[tex] \tt{ \large{ \fbox{ \red{❥À}}{ \large{ \fbox{ \pink{N}}{ \fbox{ \purple{S}}{ \fbox{ \red{W}}\fbox{ \blue{Ê}}{ \fbox{ \green{R}}}}}}}}}[/tex]
[tex] \large{ \frak{ \underline{Solⁿ 1:}}}[/tex]
[tex] \frak{ \pink{ \underline{ \purple{Multiplicative \: inverse \: of \: -1 }}}}[/tex]
Let the multiplicative inverse of -1 be x
[tex]{ \sf{ – 1 \times x = 1}}[/tex]
[tex]{ \sf{x = \frac{1}{ – 1} = – 1}}[/tex]
[tex] \pink{ \fbox{∴ x = -1}}[/tex]
-1 is the multiplicative inverse of -1
[tex]\large{ \frak{ \underline{Solⁿ 2:}}}[/tex]
[tex]\frak{ \blue{ \underline{ \red{Multiplicative \: inverse \: of \: \frac{1}{2} }}}}[/tex]
Let the multiplicative inverse of
[tex]\frac{1}{2}[/tex] be y.
[tex]{ \sf{ \frac{1}{2} \times y = 1}}[/tex]
[tex] \sf{y = \frac{2}{1} = 2}[/tex]
[tex]\blue{ \fbox{∴ y= 2}}[/tex]
2 is the multiplicative inverse of [tex]\frac{1}{2}[/tex].
[tex] \large \frak{ \underline{ \dag{ \: More \: information : }}}[/tex]
• Multiplicative inverse is also known as reciprocal.
• When a number is multiplied by its Multiplicative inverse, its value is 1.
• The form is such that, [tex] \frac{a}{b}[/tex] = [tex] \frac{b}{a}[/tex].
[tex] \\ [/tex]
[tex] \sf{ \blue{Hope \: it \: helps…}}[/tex]
[tex]{ \huge{ \pink{ \underline{ \: \: \: \: \: \: \: \: \: \: \: }}{ \purple{ \underline{ \: \: \: \: \: \: \: \: \: \: \: }}{ \red{ \underline{ \: \: \: \: \: \: \: \: \: \: \: }}{ \blue{ \underline{ \: \: \: \: \: \: \: \: \: \: \: }}}}}}}[/tex]
Step-by-step explanation:
Q1. Write any five rational numbers between -5/6
and 7/8.