M # 709.

]]>A # 213.

]]>SP#734.

]]>1/4 = 25/100

1/5 = 2/10

1/25 = 4/100

If you choose a fraction which has only 2s and 5s as prime factors you can always re-write it with a denominator which is a power of ten.

eg. 40 = 2 x 2 x 2 x 5. 1/40 = 1/(2x2x2x5) = (5x5)/(2x5x2x5x2x5) = 25/1000

Fractions which have a denominator which is a power of ten will always result in a terminating decimal.

1/4 = 0.25

1/5 = 0.2

1/25 = 0.04

1/40 = 0.025

No other prime factor can be manipulated in this way to give a terminating decimal so all other denominators result in recurring decimals.

eg.

1/3 = 0.3333333.....

1/7 = 0.142857142857......

1/11 = 0.090909.....

If you have a recurring decimal it is always possible to turn it into a fraction.

eg.

0.16161616......

let a/b = 0.16161616.....

100a/b = 16.16161616.....

Subtract

99a/b = 16

a/b = 16/99

eg.

0.7666666....

= 7/10 + 0.0666666

so use the above technique to get a/b for the recurring part and then sum the two fractions to get another rational.

So if all terminating and recurring fractions are rationals everything else must be irrational. So the irrationals are non-terminating, non-recurring decimals.

Bob

]]>B

]]>Maybe you're confused because you have used x to mean two different things. Let's avoid this by using y and b for the identity:

So y = 3x - 2 and b = 3. This will give you the linear factor and the quadratic cannot be simplified further.

Bob

]]>and it has no easy factors. Are you sure you have it copied correctly?

Bob

]]>1. I've always found the rain very calming. - Venus Williams

2. Exercise, prayer, and meditation are examples of calming rituals. They have been shown to induce a happier mood and provide a positive pathway through life's daily frustrations. - Chuck Norris

3. Nothing is so aggravating than calmness. - Oscar Wilde

4. What is deservedly suffered must be borne with calmness, but when the pain is unmerited, the grief is resistless. - Ovid

5. There are few circumstances which so strongly distinguish the philosopher, as the calmness with which he can reply to criticisms he may think undeservedly severe. - Charles Babbage

6. On the field, MS epitomises calmness and, from a cricket point of view, has the best angle in terms of field placements. - Ben Stokes

7. Jonathan Agnew is a good person to learn off because he's a brilliant broadcaster and the calmness and clarity with which he does things is a real skill. - Alastair Cook.

]]>

* * *

My brother and I were visiting our grandmother in the hospital. My brother says "grandma I can't stand to see you like this..."

My grandmother replies "well get the hell out then!"

* * *

Everyone can find one person or three cats waiting for him.

* * *

I can't decide which room not to clean first.

* * *]]>

https://imgur.com/gallery/6mjyDcd

]]>The question looks easy enough but it's tricky to me.

I know there are 24 hours in a day. So, I decided to divide 12,996 by 24 hours, which yield the decimal number 541.54166666667.

Of course, this decimal number tells me nothing.

A. How do I find the correct answer?

B. If the quotient found leads to the right answer, can you show me how?

]]>Help me! I newbie!

Help you with what? We need a specific question with clear instructions. So, post your question(s) and wait for someone to reply.

]]>1914.

]]>#2360. What does the medical term Plague (disease) mean?

]]>#5617. What does the noun *howler* mean?

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