Answer:
1 d) -5.1 2)5.111... 3) C 4) All of the points on the graph could represent rational numbers 5) Divide 2 by 6.) -20.75
Step-by-step explanation:
Hi There!
1) Converting this Mixed Fraction -5 1/9 into an Improper One:
[tex]-5\frac{1}{9}=\frac{-46}{9}[/tex]
Keep the Denominator to the Improper Fraction
Multiply 9 by 5 then add the numerator 1, place the sign in the end
9*5+1=46
46/9 *(-1)
-46/9 =-5.111...
Dividing the numerator -46 by 9 =-5.11111....
2) Making it an Improper one makes it easier to understand and operate it.
[tex]-5\frac{1}{9}=\frac{-46}{9}[/tex]
[tex]\frac{46}{9}=5.111...[/tex]
That would be enough already. But the question has another goal.
And the goal of this question is to harmonize with what's been asked.
Regarding the second part, we want to get a denominator of 100 and then write the numerator as hundredths using a decimal point.
[tex]\frac{-46}{9}*\frac{3}{20} =\frac{-138}{180}=0.766[/tex]
3) C
In the Real line the Opposite numbers are those multiplied by (-1), hence the opposite of -3.3 certainly is 3.3
4) All of the points on the graph could represent rational numbers.
Since Rational numbers are those that can be written as a quotient like a form [tex]\frac{a}{b}[/tex]
Even Zero can be taken as a Rational once you can write it as [tex]\frac{0}{b}[/tex]
5) Divide 2 by 6.
Just like any fraction, to convert it to its decimal form all you have to do is dividing the numerator by the denominator. In this case, Shalina will find 0.3333..
6)-20.75
Another conversion from Mixed Fraction to an Improper one
[tex]-20\frac{3}{4}=\frac{20*4+3}{4}=\frac{83}{4}*(-1)=\frac{-83}{4} =-20.75[/tex]
Or if you already know that [tex]\frac{3}{4}=0.75[/tex] All that's left is to sum with the integer 20=20+0.75=20.75
