If I cut a cake into equal parts and one slice = 3.333, where would I find the 0.001? (total of slices = 10)

Mathematics

1 answer:

ivolga24 [154]3 years ago

8 0

Step-by-step explanation:

That is so because 1/3 is *not exactly equal to* 0.333333

0.333333 is an approximation of 1/3 which is correct to 6 decimal places.

So 0.333333 x 3 = 0.999999 which is approximately equal to 1.

If you want to be more accurate, you could write the fraction 1/3 everywhere and not write it in floating point form.

1/3 in floating point format will be 0.333333333…..and so on with infinite decimal places. This is because when you try to divide 1 by 3, you get a nonterminating recurring number after decimal point.

Its usually represented by a bar or dot on top of the recurring part

Ex. 1/3 = 0.3bar

(Sorry I can't get the bar on 3 by typing from keyboard)

But let's just say 0.3 bar is 0.333333…and so on to infinity.

When you multiply 0.3bar x 3 you get 0.9bar

= 0.999999….and so on to infinity.

These decimal point figures just a very great approximations of the fraction 1/3.

Hope this helps. Feel free to reply if you still have doubts.

You might be interested in

1.Simplify 5 to the 5th over 5 to the 8th.

timurjin [86]

Q1. The answer is 1 over 5 to the 3rd power.

5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is $\frac{ 5^{5} }{ 5^{8} }$
To simplify, we will use two rules:
$\frac{ x^{a}}{ x^{b} } = x^{a-b} \\ x^{-a} = \frac{1}{ x^{a}}$
Therefore:
$\frac{ 5^{5} }{ 5^{8} } = 5^{5-8} =5^{-3}= \frac{1}{5^{3}}$
$\frac{1}{5^{3}}$ is the same as 1 over 5 to the 3rd power.

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The exponents are multiplied when are expressed in the form:
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So, $(5^{3} )^{-4}=5^{3*(-4)}=5^{-12}$

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