Find the product of 21 and (6.3 • 10^-4).
0.1323 • 10^-1
1.323 • 10^-3
1.323 • 10^-2
1.323 • 10^2

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- anonymous

Find the product of 21 and (6.3 • 10^-4).
0.1323 • 10^-1
1.323 • 10^-3
1.323 • 10^-2
1.323 • 10^2

- schrodinger

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- MrNood

first multiply 21 * 6.3
and write it in the exponent form
post you answer here

- anonymous

132.3

- MrNood

can you write that in 'exponent form ?
like 1.56 * 10^2

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## More answers

- anonymous

Is it 132.3 * 10^0?

- MrNood

that is one way to write it can you write it as
1.323 * 10^?

- anonymous

is it possible, you're asking?

- MrNood

no - it is possible
can you do it - what is the value of ? so that 132.3 is the same as 1.323 *10^?

- anonymous

I know that you have to move the decimal over two spaces to the left by dividing it by 100. That IS correct, right? XD

- MrNood

yes
132.3= 1.323*100 = 1.323 *10^?
what is the value of ? in the above?

- anonymous

I have no clue. 1.323*100 is 132.3 but that's what we started with...

- MrNood

the point of the exercise is to be able to express numbers in exponent form (or sometimes called scientific notation)
you can see maybe that (for example)
1101 = 110.1 *10^1
1101 = 11.01 * 10^2
1101 = 1.101 * 10^3
1101 = .1101 * 10 ^4
SO using the same idea can you look at
132.3= 1.323*100 = 1.323 *10^?

- anonymous

is it... 1.323 • 10^-3

- anonymous

is it... 1.323 • 10^-3

- MrNood

132.3= 1.323*100
we are multiplying by 100
how would you write 100 = 10^?

- anonymous

eh... I dont know

- MrNood

Well I'm afaid you are probably not ready to tackle questions like this then.
The key point is that we can move the decimal point where we want - as LONG AS we multiply by 10^? to compensate.
BUT you must know that
10^0 =1
10^1 = 10
10^2 = 100
10^3 = 1000
etc.

- anonymous

Oh! Oh that makes sense

- MrNood

how would you write 100 = 10^?

- anonymous

100 would be 10^2

- MrNood

OK so lets go back toi the original question
21 *6.3 • 10^-4
you worked out was the same as
132.3 *10^4
which is the same as
1.323 *10^2 * 10^-4
so what happens when you multiply 2 numbers with exponents?
10^2 * 10^-4 = 10 ^?

- anonymous

When you multiply 2 numbers with exponents dont you add the exponents and if the bases are the same then you keep them as that number? So this would be 10^-2?

- MrNood

excellent - so you have your answer now

- anonymous

Ah! Thank you so much

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