Question

show that each number is rational by writing it in the form a/b, where a and b are intergers.
1. 0.37
2. 2.1

Answer 1

plz help

Answer 2

\(a.bcdef...=\frac{a}{1}+\frac{b}{10}+\frac{c}{100}+\frac{d}{1000}+\frac{e}{10000}+\frac{f}{100000}...\)

Answer 3

example:

\(1.34=1+\frac{3}{10}+\frac{4}{100}\\=\frac{100}{100}+\frac{3*10}{100}+\frac{4}{100}=\frac{100+30+4}{100}\\=\frac{134}{100}\\=\frac{67}{50}\)

Answer 4

`0.37` means `37 hundredths` since that 7 is in the hundredths place

so you write `37` over 100 to get \[\Large \frac{37}{100}\]

this means \[\Large \frac{37}{100} = 0.37\]

I'll let you do the other one