2,083,193 cm in scientific notation rounded into 2 sig figs

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

answer is: c. the experiment shows that the red substance experienced a chemical change.

this is chemical change (chemical reaction), because two new substances are formed (metalig liquid and gas), the atoms are rearranged and the reaction is followed by an energy change.

this is example of chemical decomposition.

chemical decomposition (analysis) is the separation of a single chemical compound into its two or more elemental parts or to simpler compounds.  

chemical decomposition is opposite of chemical synthesis.