Question

If I cut a cake into 3 pieces each piece will be 0.333 of the main piece okAnd if we multiply 3 by 0.333 we get 0.999So what happened to 0.001???

Answer 1

it war the cherry because cherry is not a cake

Answer 2

Answer:

The cake is expressed in standard measurements which is one-third of a cake and the decimal is in metric expression.

Step-by-step explanation:

Method 1:

• 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 the decimal point.
• Its usually represented by a bar or dot on top of the recurring part
• Ex. 1/3 = 0.3bar
• 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 are just a very great approximation of the fraction 1/3

                     $\begin{aligned}3 \times \frac{1}{3} &=3 \times 0.333 \ldots=0.999 \ldots \\\text { Let } x &=0.999 \ldots \\10 x &=9.999 \ldots \\10 x-x &=9.999 \ldots-0.999 \ldots \\9 x &=9 \\x &=1\end{aligned}$