Answer:
[tex]\boxed{2.1 \times 10^{6}\text{ cm}}}[/tex]
Explanation:
1. Rounding
2 083 193 cm
You want to round to two significant figures.
You replace all the underlined digits (all those after the first two digits) with zeroes.
The rule is: If the first figure dropped (8) is greater than 5, increase the last figure kept (0) by 1.
Then, 2 083 193 cm becomes 2 100 000 cm
2. Converting to scientific notation
A number in scientific notation has the form
N × 10ⁿ
where N is a decimal number called the mantissa and n is an integer called the exponent.
We must have 1 ≤ N < 10
(a) Determine the mantissa
Move the decimal place to the left to create a new number between 1 and 10.
2 100 000 ⟶ 2.100 000; N = 2.1
(b). Determine the exponent.
The exponent is the number of times you moved the decimal to get the mantissa.
You moved the decimal six places to the left, so the exponent n = 6.
(c). Write the number in scientific notation
[tex]\text{The measurement in scientific notation is }\boxed{\mathbf{2.1 \times 10^{6} \textbf{ cm}}}.[/tex]
