Question

in 2020, the total population of the united states was approximately 331,000,000 people. the population of the state of kansas was approximately 2,938,000 people. complete the paragraph to compare the two populations. 331,000,000 is approximately, and 2,938,000 is approximately. so, 331,000,000 is approximately times as large as 2,938,000.

Explanation:

Step1: Round 331,000,000

To make it easier to compare, we can round 331,000,000 to a simpler number. 331,000,000 is approximately \( 3.31\times10^{8} \), and if we round to a simpler whole number in terms of millions or just a rounded large number, 331,000,000 is approximately 330,000,000 (or 3.3×10⁸, but for easier division with 2,938,000, let's use 330,000,000 and 3,000,000 for the Kansas population).

Step2: Round 2,938,000

2,938,000 is approximately 3,000,000 (since 2,938,000 is close to 3 million).

Step3: Find the ratio

Now, to find how many times 331,000,000 (approx 330,000,000) is as large as 2,938,000 (approx 3,000,000), we divide \( \frac{330000000}{3000000} \). Simplifying, \( \frac{330000000}{3000000}=\frac{330}{3} = 110 \). So we can also check with the original numbers: \( \frac{331000000}{2938000}\approx\frac{331000}{2938}\approx112.6 \), but with our rounded numbers (330,000,000 and 3,000,000), it's 110. But maybe a better rounding: 331,000,000 ≈ 3.31×10⁸, 2,938,000≈2.94×10⁶. Then \( \frac{3.31\times 10^{8}}{2.94\times 10^{6}}\approx\frac{3.31}{2.94}\times10^{2}\approx1.126\times 100 = 112.6 \), so approximately 110 or 113, but let's use the rounded numbers for the blanks.

First blank: 330,000,000 (or 3.3×10⁸, but in whole numbers, 330 million)
Second blank: 3,000,000 (or 3 million)
Third blank: approximately 110 (or 113, but with 330,000,000 ÷ 3,000,000 = 110)

So filling in:
331,000,000 is approximately 330,000,000, and 2,938,000 is approximately 3,000,000. So, 331,000,000 is approximately 110 times as large as 2,938,000.

(Note: Depending on the rounding, other approximations are possible, but this is a common way to approach it.)

Answer:

331,000,000 is approximately \(\boldsymbol{330000000}\), and 2,938,000 is approximately \(\boldsymbol{3000000}\). So, 331,000,000 is approximately \(\boldsymbol{110}\) times as large as 2,938,000.

(Alternative rounding: 331,000,000 ≈ 3.3×10⁸, 2,938,000≈2.9×10⁶, then ratio ≈ (3.3×10⁸)/(2.9×10⁶)≈113.79, so 114, but 330,000,000 and 3,000,000 give 110 which is a clean number. The key is using compatible numbers for division.)