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

a patient chooses to not take a beneficial medical treatment.

explanation:

2h2o2--> 2h2o + o2

this reaction is of the spontaneous decomposition of hydrogen peroxide down into water and oxygen.

add 2 molecules of hydrogen peroxide and 2 molecules of water. since oxygen is naturally diatomic, the total number of atoms of each element is now the same on both sides of the equation so it is balanced.

this may not be entirely correct but let me know.