Answer:
[tex] \boxed{ \sf{i. \: \: \: \: 0}}[/tex]
[tex] \boxed{ \sf{ ii.\: \: \: curly}}[/tex]
[tex] \boxed{ \sf{ \: iii. \: \: \: 3}}[/tex]
[tex] \boxed{ \sf{ iv. \: \: \: \: \frac{3}{100} }}[/tex]
[tex] \boxed{ \sf{v. \: \: \: ∅}}[/tex]
[tex] \boxed{ \sf{vi. \: \: \: \frac{ - 3}{2} }}[/tex]
[tex] \boxed{ \sf{vii. \: \: \: - 1}}[/tex]
[tex] \boxed{ \sf{viii. \: \: \: 1}}[/tex]
[tex] \boxed{ \sf{ix. \: \: \: 24}}[/tex]
Step-by-step explanation:
[tex] \sf{ \: i. \: - 5 \times 0 = \underline{ \bold{ \sf{0}}}}[/tex]
[tex] \text{Remember!} : [/tex] Any number multiplied by zero is equal to zero.
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[tex] \sf{ii. \: The \: sets \: are \: always \: represented \: in \: \underline{ \bold{ \sf{curly}}}} \: brackets.[/tex]
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[tex] \sf{iii. \: \frac{1}{2} + \frac{5}{2}}[/tex]
While performing the addition and subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same.
[tex] \mapsto{ \sf{ \frac{1 + 5}{2}}} [/tex]
[tex] \mapsto{ \sf{ \frac{6}{2} }}[/tex]
Divide 6 by 2
[tex] \mapsto{ \sf{3}}[/tex]
[tex] \sf{ ∴ \: \: \frac{1}{2} + \frac{5}{2} = \: } \underline{ \sf{3}}[/tex]
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[tex] \sf{iv. \: Fraction \: form \: of \: 3\% : }[/tex]
To convert the percent into a fraction, divide it by 100 and remove the % symbol.
[tex] \sf{ ∴ \: fraction \: form \: of \: 3\% \: = \underline{ \sf{ \frac{3}{100}}}} [/tex]
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[tex] \sf{ \: v. \: The \: symbol \: of \: null \: set \: is \: = \: \underline{ \sf{ ∅ }}}[/tex]
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[tex] \sf{ \: vi \: . \: \frac{ - 15}{6} \times \frac{3}{5}} [/tex]
To multiply one fraction by another , multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the obtained after multiplication into lowest term.
[tex] \mapsto{ \sf{ \frac{ - 15 \times 3}{6 \times 5}}} [/tex]
[tex] \mapsto{ \sf{ \frac{ - 45}{30} \: }}[/tex]
[tex] \mapsto{ \sf{ \frac{ \cancel{ - 45} ^{ \: \: \: \: - 3} }{ \cancel{30 } ^{ \: \: \: \: \: \: \: 2} } } }[/tex]
[tex] \mapsto{ \sf{ \frac{ - 3}{2} }}[/tex]
[tex] \sf{∴ \: \frac{ - 15}{6} \times \frac{3}{5} = \underline{ \sf{ \frac{ - 3}{2} }}}[/tex]
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[tex] \sf{vii. \: \: ( - 1) \times ( - 1) \times ( - 1)}[/tex]
First, multiply -1 by -1
[tex] \sf{ \text{Remember!}} : [/tex] Multiplying a negative integer by a negative integers gives a positive integer.
[tex] \mapsto{ \sf{1 \times ( - 1)}}[/tex]
Now, multiply 1 by -1
[tex] \text{Remember!} : [/tex] Multiplying a positive integer by an negative integer gives a negative integer
[tex] \mapsto{ \sf{ - 1}}[/tex]
[tex] \sf{∴ \: ( - 1) \times ( - 1) \times ( - 1) = \underline{ \sf{ - 1}}}[/tex]
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[tex] \sf viii \: . \: \sf{ \: the \: value \: of \: {3}^{0} \: is \: \underline 1}.[/tex]
[tex] \text{Remember!} : [/tex] The value of any term having the index 0 is 1.
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[tex] \sf{ix. \: \: x \times ( - 1) = - 24}[/tex]
[tex] \mapsto {\sf{ - 1x = - 24}}[/tex]
Divide both sides by -1
[tex] \mapsto{ \sf{ \frac{ - 1x}{ - 1} = \frac{ - 24}{ - 1} }}[/tex]
[tex] \text{Remember!} : [/tex] Dividing a negative integer by a negative integer gives a positive integer
[tex] \mapsto{ \sf{x = 24}}[/tex]
[tex] \sf{∴ \: The \: value \: of \: x \: = \underline{ \sf{24}}}[/tex]
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Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
