Question

The average thickness of a chicken eggshell is 0.000356 m. Write an estimate for the average thickness of a chicken eggshell as a single digit times an integer power of 10. Show your work.​

Answer 1

The average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)

How does scientific notations work?

The number is written in the form  $a \times 10^b$ where we have $1 \leq a < 10$

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

Scientific notations have some of the profits as:

Better readability due to compact representation

Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

We're given that:

Average thickness of a chicken eggshell = 0.000356 m

We can rewrite it as:

$0.000356 = \dfrac{356}{1000000} = \dfrac{3.56}{10000}= \dfrac{3.56}{10^4} = 3.56 \times 10^{-4}$

Since we need to write it as a single digit times an integer power of 10, therefore, we get:
$3.56 \times 10^{-4} \approx 4 \times 10^{-4}$

Thus, the average thickness of a chicken eggshell being 0.000356 m is written as a single digit times an integer power of 10 as: 4 × 10^{-4} (approx)

Learn more about scientific notation here:

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