im pretty supitd so plzz answer and i got the 2nd and 4th one and it said it was wrong and i only have 1 try left so help me plz
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1 answer:
Answer: A) Yes, because the number can be written as the quotient of two integers
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Explanation:
Any repeating decimal can be expressed as a fraction of two integers.
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Optional section:
Here's a proof showing how the given number can be expressed as a fraction
Let x = 0.020020200202002...
The block of digits "02002" repeats forever.
Multiply both sides by 10^5 = 100,000 to move the decimal over 5 spots to the right.
The equation
x = 0.020020200202002...
will turn into
100000x = 2002.0200202002...
We have this system of equations
Subtracting said equations leads to
100,000x - x = 99,999x on the left
2002.0200202002... - 0.0200202002... = 2002 on the left
Note how the decimal portions line up perfectly to cancel out when we subtract
After those two subtractions, we end up with the equation
99,999x = 2002
Divide both sides by 99,999 and we isolate x
x = 2002/(99,999)
Use your calculator to find that,
2002/(99,999) = 0.02002020020202...
which helps confirm our answer.
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Answer:
A: 10 YD
Here's what to do:
1. Change the mixed number to an improper fraction.
15 =
+
=
2. Multiply the numerator by the other numerator that needs to be multiplied and do the same for the denominator. Here, let me explain.
x
. When you muliply this, multiply the numerator by the numerator (153 x 2), and the denominator by the denominator (10 x 3). You should get your answer of
(because you put the product of the numerators in the numerator and the same for the denominator).
3. This is the correct answer, but you still need to convert this back to the numerator and simplify.
a. If you can use a calculator, just divide 306 by 30, and when you get 10.2, you know that 10.2 = 10 = 10
b. If you can't though, instead of 306, divide 300 by 30, which should give you 10, and add the remaining 6/30 (300/30 + 6/30 = 306/30, or the answer), which equals 2/10 which essentially equals 1/5, and you add the bolded numbers, which gives you 10, or A.
Hope this helps :)
-jp524