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elixir [45]
3 years ago
9

What is the relationship between 0.8 ÷ 10^2 and 0.8×10^2

Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0

0.8\times10^2\ \text{is 10,000 times greater than}\ 0.8\div10^2\\\\\dfrac{0.8\times10^2}{0.8\div10^2}=\dfrac{10^2}{1\div10^2}=\dfrac{10^2}{\frac{1}{10^2}}=10^2\times10^2=10^4=10,000

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The number 0.4 can be written as 4/10 so it’s a rational number, true or false
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What is the sum of -36 4/9 - (10 2/9) - (18 2/9)
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let's firstly convert the mixed fractions to improper fractions and then add them up.

\bf \stackrel{mixed}{36\frac{4}{9}}\implies \cfrac{36\cdot 9+4}{9}\implies \stackrel{improper}{\cfrac{329}{9}} \\\\\\ \stackrel{mixed}{10\frac{2}{9}}\implies \cfrac{10\cdot 9+2}{9}\implies \stackrel{improper}{\cfrac{92}{9}}~\hfill \stackrel{mixed}{18\frac{2}{9}}\implies \cfrac{18\cdot 9+2}{9}\implies \stackrel{improper}{\cfrac{164}{9}} \\\\[-0.35em] ~\dotfill

\bf -\cfrac{329}{9}-\cfrac{92}{9}-\cfrac{164}{9}\implies \stackrel{\textit{using the LCD of 9}}{\cfrac{-329-92-164}{9}}\implies -\cfrac{585}{9}\implies -65

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