3. The population of Columbus, Ohio, in 2014 was about 823,000. The population of the United States was about 319 million in 2014.

(a) Write each population in scientific notation.
(b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work.

(a) 8.23x10^5
3.19x10^6
(b) I have no clue how to get the answer.

did you get it right?

319 million is 3.19x10^8 not 10^6

3. The population of Columbus, Ohio, in 2014 was about 823,000. The population of the United States was about 319 million in 2014.

(a) Write each population in scientific notation.
(b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work.

(a) 8.23x10^5
3.19x10^6
(b) 2.367·10^6
I got the answer for y'all.

To find out how many times larger the population of the United States was than the population of Columbus, Ohio, we can use the following formula:

Population of United States divided by Population of Columbus, Ohio

Let's calculate it step by step:

Step 1: Convert both populations to numeric form.

Population of Columbus, Ohio = 8.23 x 10^5
Population of the United States = 3.19 x 10^8

Step 2: Divide the population of the United States by the population of Columbus, Ohio.

( 3.19 x 10^8 ) / ( 8.23 x 10^5 )

To divide numbers in scientific notation, we divide the coefficients (3.19 / 8.23) and subtract the exponents (10^8 / 10^5).

Step 3: Calculate the division of the coefficients:

3.19 / 8.23 ≈ 0.387

Step 4: Calculate the division of the exponents:

10^8 / 10^5 = 10^(8-5) = 10^3 = 1000

Step 5: Multiply the division of the coefficients by the division of the exponents:

0.387 * 1000 = 387

Therefore, the population of the United States was about 387 times larger than the population of Columbus, Ohio in 2014.

really?

How many times larger is 20 than 4?
How did you get that answer?

Do the same thing for your numbers. Remember that you divide the values and subtract the powers.

What do you get?

2.6x10^3

Thanks~!