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Sati [7]
3 years ago
15

Devisibility rules for 3, 6, and 9

Mathematics
1 answer:
fenix001 [56]3 years ago
3 0

Answer:

<u>★</u><u> </u><u>Divisibility</u><u> </u><u>rule</u><u> </u><u>for</u><u> </u><u>3</u><u> </u><u>-</u>

If the sum of all the digits divisible by 3 then the number is divisible by 3.

Here, we take an example for better understanding -

<u>Example</u><u> </u><u>1</u><u> </u><u>-</u> 3525

Add up the digits - 3 + 5 + 2 + 5

→ 15

As, 15 is divisible by 3. So, 3525 is a factor of 3.

★<u> </u><u>Divisibility</u><u> rule</u><u> </u><u>for</u><u> </u><u>6</u><u> </u><u>-</u>

A number is to be divisible by 6 , if the number is also divisible by 2 and 3.

<u>Exampl</u><u>e</u><u> </u><u>2</u><u> </u><u>-</u> 132

Add up the digits = 1 + 3 + 2 = 6

As, 6 is divisible by 2 and it's also divisible by 3. Then, 132 is a factor of 6.

★ <u>Divisibility</u><u> rule</u><u> for</u><u> </u><u>9</u><u> </u><u>-</u>

If the sum of all the digits is divisible by 9 then the number is divisible by 9. Just like we'd in 3.

<u>Example</u><u> </u><u>3</u><u> </u><u>-</u> 1052

Add up the digits - 10 + 5 + 2 = 17

As, 17 is not divisible by 9. So, 1052 is also not divisible by 9.

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The mother is older than her daughter by \frac{3}{4}m years

Step-by-step explanation:

Mother is m years old, and she is four times as old as her daughter.

we need to find how much older the mother is than her daughter

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- Divide both sides by 4

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- Subtract the daughter's age from her mother's age

∵ The difference of their ages = m - \frac{1}{4}m

- Change 1 m to a fraction of denominator 4, then 1 m = \frac{4}{4}m

∴ The difference between their ages = \frac{4}{4}m - \frac{1}{4}m = \frac{3}{4}m

∴ The mother is older than her daughter by \frac{3}{4}m years

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Sharon borrowed $750 at 12% for one year. She paid a $20 processing fee. How much will she pay in interest?
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The principal amount in the loan taken by Sharon is $750 . Note hat the $20 processing fee is a one time cost and is not included in the interest calculation.

Annual Rate of interest offered to Sharon is 12%

Time interval for the loan transaction is 1 year.

So the interest for 1 year is given by \[Principal * Rate * Year /100\]

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So, Sharon will have to pay $90 as interest for the loan amount $750 borrowed for one year at the rate 12%.

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