#### Answer

a. $37,691,900$
b. $37,692,000$
c. $37,690,000$
d. $37,700,000$
e. $38,000,000$
f. $40,000,000$

#### Work Step by Step

We can select the state of California for this exercise. Its population is $37,691,912$.
We need to round the population of the state to the nearest:
a. hundred
b. thousand
c. ten thousand
d. hundred thousand
e. million
f. ten million
To do this exercise, we need to remember how we round numbers:
1. Look at the digit to the right of the digit where rounding is to occur.
2a. If the digit to the right is $5$ or greater, add $1$ to the digit to be rounded.
2b. If the digit to the right is less than $5$, do not change the digit to be rounded.
3. Replace all digits to the right with zeros.
a.Rounding to the nearest hundred:
The hundreds digit is $9$, and the digit behind it is $1$, which is less than $5$; therefore, we have to keep the hundreds digit the same, giving us the following number:
$37,691,900$
b.Rounding to the nearest thousand:
The thousands digit is $1$, and the digit behind it is $9$, which is greater than $5$; therefore, we have to increase the thousands digit by $1$, giving us the following number:
$37,692,000$
c.Rounding to the nearest ten thousand:
The ten thousands digit is $9$, and the digit behind it is $1$, which is less than $5$; therefore, we have to keep the ten thousands digit the same, giving us the following number:
$37,690,000$
d.Rounding to the hundred thousand:
The hundred thousands digit is $6$, and the digit behind it is $9$, which is greater than $5$; therefore, we have to increase the hundred thousands digit by $1$, giving us the following number:
$37,700,000$
e.Rounding to the nearest million:
The millions digit is $7$, and the digit behind it is $6$, which is greater than $5$; therefore, we have to increase the millions digit by $1$, giving us the following number:
$38,000,000$
f.Rounding to the nearest ten million:
The ten millions digit is $3$, and the digit behind it is $7$, which is greater than $5$, and therefore, we have to increase the ten millions digit by $1$, giving us the following number:
$40,000,000$