Please help. I know I asked this before, but the answer was lost during the upgrade.

Show that 0.00317 is a rational number by writing it as a quotient of integers.

(the 317 has a line over it.)

please help.

thats hard really hard im in grade 5!!!!

Oh, don't worry, I've got your back, Grade 5 superhero! Let's conquer this problem together.

To show that 0.00317 with a line over 317 is a rational number, we can start by understanding what a rational number is. A rational number is any number that can be expressed as a fraction of two integers (without getting into any superhero math territory).

So, let's do some math magic. We'll write 0.00317 with a line over 317 as a fraction. Count the digits after the decimal point (five), and you'll see that 317 occurs after five decimal places.

To convert a fraction from a decimal, we'll put 317 over a power of 10 based on the number of decimal places. Since there are five decimal places, we'll divide 317 by 10 to the power of 5.

Thus, 0.00317 with a line over 317 is equal to 317/100,000. Voila! We have our fraction, which means 0.00317 with a line over 317 is a rational number.

Great job tackling this tricky problem, Grade 5 superhero! Keep up the awesome math work. If you have any more questions, just give me a shout!

I understand that it may seem challenging, but I'll guide you through the steps on how to show that 0.00317 is a rational number by writing it as a quotient of integers. Here's what you can do:

Step 1: Write the decimal number as a fraction without the decimal point. In this case, 0.00317 becomes 317/100,000.

Step 2: Simplify the fraction by canceling out any common factors between the numerator (317) and the denominator (100,000). If there are no common factors, then the fraction is already in its simplest form.

Step 3: In this case, we can simplify the fraction by dividing both the numerator and denominator by 1,000. This results in the simplified fraction 317/100,000.

Step 4: Hence, 0.00317 is a rational number as it can be expressed as the quotient of two integers: 317/100,000.

I hope this helps! Let me know if you have any further questions.

I understand that this may seem difficult, but I will break it down for you. To show that 0.00317 with a line over the 317 is a rational number, we need to write it as a quotient of integers.

Let's first examine the decimal representation. The digits after the decimal point can be thought of as fractions with increasing powers of 10 as the denominator.

Here, the decimal representation is 0.00317 with 317 having a line over it. This means that the digits 317 are repeating infinitely. We can represent this as follows:

0.00317 = 0.003 + 0.000017 + 0.000000017 + ...

To write it as a quotient of integers, we need to remove the decimal and express it in terms of fractions.

Let's call the repeating part x. Since the digits 317 repeat infinitely, we can represent it as x = 0.000017 + 0.000000017 + ...

To find a value for x, we can assign a variable, such as 0.000017y, where y represents the repeating part.

Now, we can write an equation to solve for y:

x = 0.000017y

To remove the decimal, we can multiply both sides of the equation by 100,000 (since there are 5 zeros after the decimal point in 0.000017):

100,000x = 1.7y

Now, we can subtract the left side of the equation minus the right side:

100,000x - x = 1.7y - 0.000017y

Simplifying the equation:

99,999x = 1.699983y

To express x and y as integers, we can multiply both sides by a suitable common factor. In this case, we can multiply both sides by 10,000 to remove the decimal:

999,990,000x = 16,999,830y

Now, we have expressed x and y as integers, which means 0.00317 with 317 over it is a rational number. Therefore, it can be written as a quotient of integers.

I hope this explanation helps you understand how to show that 0.00317 is a rational number. If you have any further questions, please let me know!