Question

PLEASE HELP IM SO CONFUSED!! 99 POINTS

Nina mixed three different solutions in her lab. Solution A has a volume of
liter. Solution B has a volume of
liter. Solution C has a volume of
liter. She wants to convert the volume of each solution from a fraction to a decimal number. Help Nina by completing the following tasks.

Part A
The volume of solution A is
liter. To convert
to a decimal number, set up a long division problem. Which digit belongs in the divisor and which belongs in the dividend in the long division bracket?

Dividend is divided by divisor.

Part B
Can you divide 2 by 9? Explain your response.

Part C
Based on your answer in part B, what will the first digit of the quotient be?

Part D
Now convert 2/9 to a decimal number by completing the long division. Remember to add 0s to the dividend as you work. Divide through the ten-thousandths place, and write your result.

Part E
What will happen if you keep repeating the long division process in part D?

Part F
The volume of solution B is 3/8 liter. To convert 3/8 into a decimal number, set up a long division problem. Which digit belongs in the divisor and which belongs in the dividend in the long division bracket?

Dividend is divided by divisor.

Part G
Can you divide 3 by 8? Explain your response.

Part H
Based on your answer in part G, what will the first digit of the quotient be?

Part I
Now convert 3/8 to a decimal number by completing the long division. Remember to add 0s to the dividend as you work. Divide through the ten-thousandths place, and write your result.

Part J
What will happen if you keep repeating the division process in part I?

Part K
The volume of solution C is 1/5 liter. To convert 1/5 into a decimal number, set up a long division problem. Which digit belongs in the divisor and which belongs in the dividend in the long division bracket?

Part L
Can you divide 1 by 5? Explain your response.

Part M
Based on your answer in part L, what will the first digit of the quotient be?

Part N
Now convert 1/5 to a decimal number by completing the long division. Remember to add 0s to the dividend as you work. Divide through the ten-thousandths place, and write your result.
Dividend is divided by divisor.

Part O
What will happen if you keep repeating the division process in part N?

Part P
You’ve just completed three long division calculations. What can you conclude about the quotient, or result, from the long division process? Does it end or does it continue indefinitely?

Please help i'm so confused!

Answer 1

Part A

The volume of solution A is represented as a fraction, so we need to convert it to a decimal number. To do this, we set up a long division problem with the numerator (the top number in the fraction) as the dividend and the denominator (the bottom number in the fraction) as the divisor. So the dividend is 1, and the divisor is the volume of solution A.

Part B

No, we cannot divide 2 by 9 evenly because they are not divisible without a remainder.

Part C

Since we cannot divide 2 by 9 evenly, the first digit of the quotient will be 0.

Part D

We set up the long division problem as follows:

0.2 7 7 7 7 ...

-------------

9 | 1.0000

- 0.9

-----

1 0 0

9 0

---

1 0 0 0

9 0

-----

1 0 0 0

9 0

-----

1 0 0 0 0

9 0

-----

1 0 0 0 0

The decimal equivalent of 2/9 is 0.27777... (repeating). We can see that the division process continues indefinitely with the same repeating pattern, so we use an ellipsis to indicate that the pattern continues infinitely.

Part E

If we keep repeating the long division process for 2/9, we will continue to get the same repeating decimal pattern of 0.27777..., with no end in sight.

Part F

The volume of solution B is represented as the fraction 3/8, so we need to convert it to a decimal number. To do this, we set up a long division problem with the numerator (3) as the dividend and the denominator (8) as the divisor.

Part G

No, we cannot divide 3 by 8 evenly because they are not divisible without a remainder.

Part H

Since we cannot divide 3 by 8 evenly, the first digit of the quotient will be 0.

Part I

We set up the long division problem as follows:

0.3 7 5

---------

8 | 3.0000

- 2.4

----

6 0

5 6

---

4 0 0

3 2

---

7 0 0

6 4

---

3 6 0

3 2

---

2 8 0

2 4

---

4 0

The decimal equivalent of 3/8 is 0.375. We can see that the division process terminates after a finite number of decimal places.

Part J

If we keep repeating the division process for 0.375, we will always get the same decimal number because the process terminates and doesn't involve any repeating pattern.

Part K

The volume of solution C is represented as the fraction 1/5, so we need to convert it to a decimal number. To do this, we set up a long division problem with the numerator (1) as the dividend and the denominator (5) as the divisor.

Part L

No, we cannot divide 1 by 5 evenly because they are not divisible without a remainder.

Part M

Since we cannot divide 1 by 5 evenly, the first digit of the quotient will be 0.

Part N

We set