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PLEASE HELP! I AM VERY STUCK, 100 POINTS. :) SHOW WORK PLS

The population of Glendale, California, in 2020 was about 200,000. The population of the United States

was about 330,000,000 million in 2020.




(a) Write the population of Glendale, California, in 2020 200,000 in scientific notation. Hint: Convert 200,000

to scientific notation.

Show your work.



Write the population of the United States in 2020 330,000,000 in scientific notation. Hint: Convert

330,000,000 to scientific notation.

Show your work.

User Mibollma
by
7.6k points

2 Answers

2 votes

Answer:

Explanation:

200 000 = 2 × 100 000

= 2.0 × 10 × 10 × 10 × 10 × 10

= 2.0 × 10^5
#just do the same thing again

330,000,000 = 3.3 * 10^8

User Bolinfest
by
7.8k points
2 votes

Answer:

(a) 2 × 10^5 population

(b) 3.3 × 10^8 population

Explanation:

Scientific notation is a way of expressing very large or very small numbers in a more compact form. It consists of two parts: a coefficient (a number typically between 1 and 10) and an exponent (a power of 10).

In this case:

In order to write a number in scientific notation, we need to move the decimal point so that there is only one non-zero digit to the left of the decimal point.

Let's start with Glendale's population in 2020:

Population of Glendale, California in 2020 = 200,000

To convert this to scientific notation, we need to move the decimal point one place to the left, so the coefficient is 2, and the exponent is 5 (because we moved the decimal point 5 places to the left):

Scientific notation for Glendale's population in 2020 is:

2 × 10^5


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Now, let's do the same for the population of the United States in 2020:

Population of the United States in 2020 = 330,000,000

To convert this to scientific notation, we need to move the decimal point so that there is only one non-zero digit to the left of the decimal point. In this case, we need to move it 8 places to the left:

Scientific notation for the U.S. population in 2020 is:

3.3 × 10^8

So, the population of Glendale, California, in 2020 in scientific notation is 2 × 10^5, and the population of the United States in 2020 in scientific notation is 3.3 × 10^8.

User Prashant Srivastav
by
7.5k points