repeating decimals

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repeating decimals

11/16/2021

29 Comments

1.) WORD WORK:

No words or test this week, but starting you must bring me new word with the definition each day this week. Find the word in your home reading or elsewhere! Bring your first word with you tomorrow.
Today I forgot to collect the words and meanings. TOMORROW I WILL COLLECT 2 WORDS AND DEFINITIONS FROMM EACH STUDENT

2.) ART: Collage due Monday

3.) POST A RESPONSE:

Answer the following questions:

List the strategies we learned for finding the decimal equivalent of a standard fraction? (include and example for each strategy)
What strategies did we learn to determine if a fraction will have a repeating or terminating decimal? (include an example for each strategy)

** Question #2 is for grade 7 only, unless you want to do it!

29 Comments

Kevin

11/16/2021 05:43:57 pm

First!

vyom

11/16/2021 05:51:22 pm

second

Suhani

11/16/2021 06:02:17 pm

3rd

kaila

11/16/2021 06:03:12 pm

Ian

11/16/2021 06:06:39 pm

sixth

Ian

11/16/2021 06:06:55 pm

wait I mean fifth

Elton

11/16/2021 06:08:09 pm

6th

Sonia

11/16/2021 06:19:39 pm

Question 1
Make an equivalent fraction and convert it to a decimal
Example:
2/5 = 4/10 = 0.4
Or divide the numerator by the denominator
Example:
2/4 = 0.5

Question 2
-use prime factorization on the denominator
-if the denominator is a multiple of 10 it will not have a repeating decimal
I forgot the other ones we learnt

Kaila

11/16/2021 06:45:35 pm

1. divided the numerator by the denominator for example: 1/2=0.5
another way is to make an equal fraction into a decimal
for example 50/100=25/50= 0.5

Aliyah

11/16/2021 06:56:14 pm

Q#1
- Make an equivalent fraction with the denominator of 10, 100 or 1000
example:
3/5 = 6/10 = 0.6

- Divide the numerator by the denominator
example: (can be done with a calculator or by doing long division)
3/5= 0.6

Q#2
- find our the prime factorization for the denominator. if the prime factorization is 2s and 5s then it’ll terminate. If not it’ll repeat.
- if the denominator is a multiple (or factor idk we switched it in class) of 10, 100 or 100 then it’ll terminate
- use long division or a calculator

Leah

11/16/2021 07:23:44 pm

#1:
1. Convert a fraction to it’s simplest form and then convert it into a decimal.
Example: 5/10=1/2=0.5

2. Divide the numie by the denomie (might need to use a calculator)
Example: 2/10=10 divided by 2=0.2

#2:
1. Use long division (by dividing the numie by the denomie) in a different way to determine decimal.
Example: 9/7=9 divided by 7=1.28514286 (or I think even more than that)

2. Use prime factorization. If the prime factors are a 2 or 5 than it would terminate. If it’s any other prime factor than repeating.

Leah

11/16/2021 07:26:00 pm

I did question 2 because I was watching Mr. Fisher with the grade 7s. Also for #2, 1., I used a calculator.

Emily

11/16/2021 07:29:46 pm

Question #1:
- Make an equivalent fraction with a denominator of 10, 100, or 1000, then convert it to decimal form. Example: 2/5 = 4/10, which is 0.4 in decimal form.
- Divide the numerator by the denominator. Example: 5/8 = 5 ÷ 8, which equals 0.625.

Question #2:
- If the denominator's prime factorization is only 2's or 5's, it will terminate. Example: 8/64 - 64's prime factorization is 2 × 2 × 2 × 2 × 2 × 2, which is all 2's, so it will terminate.
- If the denominator is a factor or multiple of 10, 100, or 1000, it will terminate. Example: 2/7 - 7 is not a factor or multiple of 10, 100, or 1000, so it will repeat.

Leah

11/16/2021 07:52:19 pm

You did question 2 too!😄

Emily

11/17/2021 10:00:30 am

Yeah! :D

Timothy

11/16/2021 07:39:01 pm

Question 1
Strategy 1. Divide the numerator by the denominator
Example: in 2/4, you divide 2 by 4
Strategy 2. Convert the fraction to the Point where the denominator is 10, 100, or 1000
Example: in 2/4, we could multiply it by 25 making it 50/100, so in decimals, it is 0.50

Question 2.
Strategy 1. The number will terminate if all of the prime factors are 2’s and 5’s, if not, It will not terminate.

Emily

11/16/2021 07:46:37 pm

There's actually 2 strategies to find out if a fraction is terminating or repeating. Also, you didn't include an example for question 2, strategy 1.

Timothy

11/16/2021 08:55:33 pm

Sheeeesh

Kaitlin

11/16/2021 07:58:10 pm

Q: List the strategies we learned for finding the decimal equivalent of a standard fraction? (include an[d] example for each strategy)

A: The first strategy we learned is figuring out an equivalent fraction with a denominator of 10, 100, 1 000, 10 000, etc. then converting it to word form. After doing so, you would find the respective place value of what the word form describes and add the number there. For example, if the fraction is 2/5, you would times the number by 2 as 5 x 2 = 10, ending up wtih 4/10. The word form of the number is four tenths, so the decimal fraction is 0.4.

The second way is by dividing the numerator by the denominator, since the "/" in a standard fraction means "divided by" (and the truth will set you free!) The end result will be the decimal fraction. For example, for 1/4, 1 ÷ 4 = 0.25, which is the decimal fraction.

any feedback about the par submission? the first one most likely has some mistakes, as i don't really know how to explain it

Kevin

11/16/2021 08:05:21 pm

Do vln people do the PAR?

Mr. Fisher

11/16/2021 08:07:45 pm

@Kevin- Yup!

Palin

11/16/2021 08:19:10 pm

To find out the decimal equilibrium of a fraction you can look at the denominator and see if it can easily be turned into a multiple of 10 and whatever you do to denominator you have to do to the numerator. For example 3/4, we know that 4 x 25 is 100, and we also do that to our denominator so 3x75. So and equivalent fraction is 75/100 sincere denominator is 100 than it must be 75 hundredths pt 0.75,another way is to to just divide the numerator by the denominator, since the / sign just means divide (the truth will set you freeee!). For example 3 divided by 4 s 0.75

To find out if a fraction is repeated or not you put the denominator through factor tree and if I the prime numbers are 2 or 5 then it will terminate in if it’s not then it will repeat

Ian

11/16/2021 08:31:52 pm

Question one
strategy- Make an equivalent fraction with a denominator of 10, 100, or 1000. Example 1/2 = 5/10 = 0.5
strategy- divide the numerator by the denominator. since the / means divided by the product would become a decimal. Example 1/5 = 0.2

Question two
strategy- If the denominator's prime factorization is only 2's or 5's, it will terminate.
strategy- if the denominator is not 10, 100, 1000, it will terminate.

Colleen

11/16/2021 08:42:34 pm

One of the ways to find the decimal version of a normal fraction is to divide the numerator with the denominator. Example 2/6 is 2 divided by 6. Another way is to make it equivalent so if it is 4/5 and you times it by 20 maybe it will be 80/100 so it will be 0.8. And a way to see if a factor will terminate or not is to see if the denominator is if the prime factors are 2 or 5 only. example 5/20, 20 is 2 x 2 x5 so it will end but 28 is 2 x 2 x 7 so it will go on forever.

Kevin

11/16/2021 08:48:55 pm

Question one:
Strategy 1: If fraction was something like 2/5 Make the fraction have a denominator of 10, so 2/5 = 4/10 = 0.4
And if the fraction was something like 11/20, convert it so the denominator is 100, so 11/20 = 55/100 = 0.55
You can also do it for thousandths, ten thousandths ect.
Strategy 2: divide the numerator by the denominator, so if fraction was 3/6, decimal would be 0.5

Question two:
Strategy: look at the prime factors of the denominator when the fraction is in its most simple form. If they are made up of 2s and/or 5s, the decimal will terminate.

Jasmine

11/16/2021 09:02:28 pm

Question 1: Make an equivalent fraction and convert it to a decimal.
Example: 4/5 = 8/10 = 0.8
Another way is just to divide the numerator by the denominator to get the answer. (You can do this on a calculator, or you can use long division)
Example: 8/10 = 0.8

Q: #2
- If the denominator is a multiple of 10, it will not have a repeating decimal
- Do prime factorization on denominator (If the denominator's prime factorization is only 2's or 5's, it will terminate)
- If the denominator is a factor or multiple of 10, 100, or 1000, it will terminate

Question 2
-use prime factorization on the denominator
-if the denominator is a multiple of 10 it will not have a repeating decimal
I forgot the other ones we learnt

Austin

11/16/2021 09:02:29 pm

Question 1.
1. The first way to turn the fraction into a decimal is you make the denominator a 10, 100, 1000 etc. After that whatever you multiplied the denominator by you multiply the numerator by and then you just write it down in decimal
Example: 3/5 you can turn 3/5 into 6/10 because 5 is a factor of 10 and you multiplied 5 by 2 so you multiply the 3 by 2 and you get 6/10 which is 0.6

2. The second strategy is to just divide the numerator by the denominator
Example: 1/2 = 0.5 because 1 divided by 2 = 0.5

Question 2.
1. The first strategy is just if it is a multiple of 10 then it will terminate
Example1 100000 will terminates because it is a multiple of 10
2. Strategy 2 is to use prime factorization and if the last numbers are 2s or 5s then it will terminate.
Example 20
/ \
2 10
/ \
2 5
It will terminate because it is 2, 2, and 5

Aliyah

11/17/2021 07:33:31 am

Uhhh Mr. Fisher I accidentally deleted my alphabio page. Um is there any way to get that back..?

Daniela

11/17/2021 08:47:34 am

Q1. _ - Dividing the numerator by the denominator:
2/3 = 0.3
- Convert the fraction to a factor of 10 (or 100 &1000) then convert it by multiplying it to 10 100 or 1000
1/5x2 2/10 =0.2

Q2. If 2 or 5 prime factors then the number will terminate, but if 3 or 7 included it will always be repeating. 40
/ \
8 5 terminating. If denominator a factor of
/ \. 100 (10, 1000) then it must
4 2. terminate
/\
22

repeating decimals

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