Is it possible to express every decimal as a fraction (without rounding)? Why or why not?

Answers

Answer 1
Answer: Yes, you would just have to change the denominator. For example, .2 would be 2/10 and .201 would be 201/1000. A good rule of thumb is to use place value.

. ____2____ _____0_____ ______1_____
      tenths     hundredths     thousandths

Since the last place value is thousandths my denominator is going to be in the thousands. 
Answer 2
Answer: If the decimal ends, then always yes.
When you read the decimal, you call it some number of
tenths, or hundredths, or thousandths, or millionths etc.,
and what you call it when you read it consists of the same
words you use when it's written as a fraction.

If the decimal never ends but just keeps going on forever,
then ...
---  if the same group of digits repeats over and over, (as they do in the
decimal form of 1/3, 1/7, and 1/9), then the decimal can be expressed
as a fraction, even though the decimal never ends.
--  if a group of digits doesn't repeat, (as in 'pi' or 'e' for example), then
the decimal is an irrational number  The definition of an irrational number
is one that can't be expressed as a fraction.

Related Questions

Justin has a credit card with a limit of $1,000 and an introductory APR of 0% for six months. After that the, APR for purchases is 22.9%. The APR for cash advances is 24.9%. The penalty APR is 29.4%. The annual fee is $39, the late payment fee is $35, and the over limit fee is $29. Justin obtains $350 from an ATM using his credit card. Which of the following APRs apply to his account?Select the best answer from the choices provided. A. 24.9% B. 22.9% C. 29.4% D. 0%
What is the solution of the system defined by y = -x + 5 and 5x + 2y = 14?Ax=1/3, y=11/7 Bx=4/3, y=11/3 Cx=5/11,y=0 Dx=4/3,y=1
A chemist has 20 gallons of solution with 12% saline. How much pure saline (100% saline) needs to be added to the 20 gallons to create a mixture with 15% saline content? Round your answer to the nearest tenth (if you answer this please let me know how you got the answer, thank you!)
If four times a certain number, increased by 6 is equal to 94, what is the number?If x represents the number, then which of the following equations could be used to solve the problem?4x + 6 = 944(x + 6) = 94x + 6 = 4(94)
I need the answer to all questions

The sum of 3 consecutive integral numbers is 117. Find the numbers. need all 3 numbers

Answers

x + (x+2)+(x+1) = 117
3x+3 = 117
3x = 120 
x = 40
ANSWER = 40, 41, 42

What is (7/12)/(5/9)? In simplest form..

Answers

(7)/(12) / (5)/(9) =

Change the division to multiplication through the reciprocal of the number being divided. 

(7)/(5) * (9)/(5) =  (21)/(20)

As mixed number:

1 (1)/(20)
7/12 times 5/9 equals 35/108. It is automatically in simplest form.

Using your calculator, find the proportion of observations from a standard normal distribution that satisfies the following statement. Sketch the normal curve and shade the area under the curve that is the answer to the question: Z < –1.5.

Answers

Final answer:

The proportion of observations from a standard normal distribution that satisfies the statement Z < -1.5 is approximately 0.0668. To depict this, one can sketch a normal curve with the mean at the center and shade the area to the left of -1.5 under the curve.

Explanation:

To find the proportion of observations from a standard normal distribution that satisfies the statement Z < -1.5, we need to find the area to the left of -1.5 on the standard normal distribution curve. This area represents the proportion of observations that have a z-score less than -1.5.

Using a calculator or a z-table, we can find that the area to the left of -1.5 is approximately 0.0668, which is the proportion of observations that satisfy the given statement. To sketch the normal curve and shade the area under the curve, we would draw a standard normal distribution curve with the mean at the center, and then shade the area to the left of -1.5 under the curve.

Learn more about Proportion of observations in a standard normal distribution here:

brainly.com/question/34803257

#SPJ12

If x = −3, which number line shows the value of |x|?

Answers

The value of the absolute expression |x| at x = - 3 will be 3.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ |x|

If x = - 3, then the value of the expression will be given as,

⇒ |-3|

The value of the absolute function is always positive. Then the value of the expression is given as,

⇒ |-3|

⇒ 3

The value of the absolute expression |x| at x = - 3 will be 3.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ3

Answer:

answer is number three

Step-by-step explanation:

Hope this helps!

Find the equation of the line in the form y=mx+c which is perpendicular to the line y = 3x + 1 and passes through (−3,6) .

Answers

y - y₁ = m(x - x₁)
 y - 6 = ⁻¹/₃(x - (-3))
 y - 6 = ⁻¹/₃(x + 3)
 y - 6 = ⁻¹/₃(x) - ¹/₃(3)
 y - 6 = ⁻¹/₃x - 1
   + 6          + 6
      y = ⁻¹/₃ + 5

HELP ME PLS one bottle of shampoo costs 6 dollars for 8 Oz a second bottle costs 4 dollars for 5oz of shampoo wich has a lower unit rate and how much lower

Answers

Answer:

The 8 oz has lower unit rate, it's lower by .2.

Step-by-step explanation:

8 oz divided by $6 = $1.333 for 1 oz  ---- (round to 1.3)

6 oz divided by $4 = $1.5 for 1 oz