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Math and Arithmetic

Math is the study of abstractions. Math allows us to isolate one or a few features such as the number, shape or direction of some kind of object. Then we can study what can be learned about the behavior of those features while ignoring everything else about the object.

893,883 Questions

What are some websites that you can go to for math help?

There are plenty of websites but not all of them are children friendly or virus proof but the one that is fine is bitesize or revise wise and then you just add your keystage( ks1, ks2 or ks3)

When do you add exponents?

The rules for exponents are

Multiplication;

a^(n) X a^(m) = a^(n+m)

Notice the coefficient 'a' MUST be the same for addition of exponents.

For something like

a^(n) X b^(m) you CANNOT add the exponents, because the coefficients are different. 'a' & 'b'

Division

a^(n) / a^(m) = a^(n-m) Subtract the exponents)

Nesting

(a^(n))^(m) = a^(nm) (Multiply the exponents).

However, in all Cases the coefficient MUST be the same .e.g. 'a'.

e.g.

3^(2) X 3^(5) = 3^(7)

5^(3) divide 5^(2) = 5^(1) = 5

(7^(3))^4) = 7^(12)

However,

3^(2) X 5^(3) = NOT allowed. because 9 x 125 = 1125 Not equal to the sqyare root or cube root of either number.

N

Is 24 a multiple or factor of 4?

'24' is a multiple of '4' ( 4 x 6 = 24)

However, '4' is a factor of '24'.

What is 9 divided by 16 minus 9 divided by 20 equal?

This is subtraction of fractions.

Hence

9/16 - 9/20 =>

[9(20) - 9(16)] / (16 x 20)

[180 - 144] / 320

[36] /320

Cancel down by '4'

9/80 The answer ; this will not reduce any further.

How many feet in 150 square yards?

NONE!!!!

Feet is LINEAR ( a length)

150 square yards is AREA ( a region).

Is three sixths equivalent to one half?

YES!!!

3/6 = 1/2

NB THree '3' is a common factor of both '3' and '6' , so you cancel down*reduce) by dividing both numbers by '3'

NB You can do this proceedure with any fractions

e.g. 9 /27 = 1/3

16/20 = 4/5

et seq/.

What is a hepagon?

No such thing as a 'hepagon'. I think you mean 'HEPTAGON'. Note the spelling.

A heptagon is a seven(7) sided 2-dimensional figure.

From their Latin roots, the names of polygons are : -

3 ' Trigon (Triangle).

4 ' Tetragon ( Quadrilateral)

5 ' Pentagon

6 ' Hexagon

7' Heptagon ( as given)

8 ' Octagon

9 ' Nonagon

10 ' Decagon

100 ' Centagon

1000 ' Millagon.

'--gon' is also Latin , for '2 dimensional figure.

So learn some Latin. Science and Maths use a lot of words from these ancient languages.

Does a angle have infinite length?

An angle has no length at all. The angle is just the amount of opening between

the two lines where they meet. The length of the angle's sides is completely

irrelevant, and has no effect at all on the measure of the angle. They can be

any length from almost zero to infinite, and they don't even have to both be

the same length. It just doesn't matter. None of that changes the measure of

the angle.

The sum of 2 numbers is 34 Four times the smaller number is 4 less than the larger number What are the numbers?

Let the numbers be 'm' & 'n'

m + n = 34

4m + 4 = n (4 times smaller is 4 less than the larger).

Algebraically rearrange

m + n = 34

4m - n = -4

Add

5m = 30

m = 6

Hence n = 28 (4 x 6 + 4 = 28).

So the two numbers are 6 & 28 .

What is 10 times as much as 700?

seven thousand

700 x 10 = 7,000
seven thousand

700 x 10 = 7,000

Eight times what equals twenty four?

8 X x = 24

Divide both sides by '8'

x = 24/8 = 3

'3' is the answer!!!!!

Are 6 billion and 6000 million the same thing?

YES!!!

6 billion is 6,000,000,000 = 6.0 x 10^(9)

6000 million is 6,000,000,000 = 6.0 x 10^(9)

Which is larger 0.011 or 0.01?

To compare decimals, bring the decimals to the same number of decimal places, by inserting suffix 'zeroes'. Three decimal places in this case.

0.011 ^ 0.01

Hence

0.011 & 0.010

Drop the decimal point

0011 & 0010

Drop the prefix zeroes

11 & 10

I think you will agree that 11 is greater than 10 ( 11 > 10)

Hence it follows that

0.011 > 0,01

NB THis method is good for comparing all decimals to 'n' number of places.

How many 2 digit prime numbers have 4 as one of their digits?

There are four 2-digit prime numbers that have 4 as one of their digits: 41, 43, 47, and 49. However, 49 is not a prime number because it is divisible by 7. So, the correct answer is three 2-digit prime numbers with 4 as one of their digits.

What is 80 percent of 35?

Well, isn't that a happy little math question? To find 80 percent of 35, you simply multiply 35 by 0.80. So, 35 x 0.80 equals 28. So, 80 percent of 35 is 28. Just like painting a beautiful landscape, math can be a peaceful and rewarding experience.

What number is exactly divisible by 9?

The list of numbers that are exactly divisible by 9 is infinite. The first four are: 9, 18, 27, 36 . . .

What shape has one more side than a rhombus?

Since a rhombus has four sides, you are asking for the name of a five-sided shape, which is called a pentagon. There is a military building in the USA with the shape of a regular pentagon. It is called The Pentagon. This should help you to remember.

Which number is between -1 and 3?

There are an infinite number of numbers between -1 and 3.

The whole ones are zero, 1, and 2 .