When we round a number to the nearest hundred we look to the tens place to tell us if we round up or down.

$\displaystyle 8{\color{Blue} 5}2$

If the number in our tens place is $\displaystyle 5$ or greater, we round up. If the number in the tens place is $\displaystyle 4$ or less, we round down. When we round up, the number in the hundreds place increases by $\displaystyle 1$ and all the other numbers to the right become $\displaystyle 0$. When we round down, the number in the hundreds place stays the same and all the other numbers to the right become $\displaystyle 0$.

In this case, $\displaystyle 5$ is equal to $\displaystyle 5$ so our rounded number is $\displaystyle 900$

When we round a number to the nearest hundred we look to the tens place to tell us if we round up or down.

$\displaystyle 36{\color{Blue} 9}$

If the number in our tens place is $\displaystyle 5$ or greater, we round up. If the number in the tens place is $\displaystyle 4$ or less, we round down. When we round up, the number in the hundreds place increases by $\displaystyle 1$ and all the other numbers to the right become $\displaystyle 0$. When we round down, the number in the hundreds place stays the same and all the other numbers to the right become $\displaystyle 0$.

In this case, $\displaystyle 9$ is greater than $\displaystyle 5$ so our rounded number is $\displaystyle 370$

When we round a number to the nearest ten we look to the ones place to tell us if we round up or down.

$\displaystyle 872\textup,13{\color{Blue} 3}$

If the number in our ones place is $\displaystyle 5$ or greater, we round up. If the number in the ones place is $\displaystyle 4$ or less, we round down. When we round up, the number in the tens place increases by $\displaystyle 1$ and all the other numbers to the right become $\displaystyle 0$. When we round down, the number in the tens place stays the same and all the other numbers to the right become $\displaystyle 0$.

In this case, $\displaystyle 3$ is less than $\displaystyle 5$ so our rounded number is $\displaystyle 872\textup,130$.

When we round a number to the nearest ten we look to the ones place to tell us if we round up or down.

$\displaystyle 91{\color{Blue} 9}$

If the number in our ones place is $\displaystyle 5$ or greater, we round up. If the number in the ones place is $\displaystyle 4$ or less, we round down. When we round up, the number in the tens place increases by $\displaystyle 1$ and all the other numbers to the right become $\displaystyle 0$. When we round down, the number in the tens place stays the same and all the other numbers to the right become $\displaystyle 0$.

In this case, $\displaystyle 9$ is greater than $\displaystyle 5$ so our rounded number is $\displaystyle 920$

When we round a number to the nearest hundred we look to the tens place to tell us if we round up or down.

$\displaystyle 6\textup,7{\color{Blue} 2}9$

If the number in our tens place is $\displaystyle 5$ or greater, we round up. If the number in the tens place is $\displaystyle 4$ or less, we round down. When we round up, the number in the hundreds place increases by $\displaystyle 1$ and all the other numbers to the right become $\displaystyle 0$. When we round down, the number in the hundreds place stays the same and all the other numbers to the right become $\displaystyle 0$.

In this case, $\displaystyle 2$ is less than $\displaystyle 5$ so our rounded number is $\displaystyle 6\textup,700$

When we round a number to the nearest ten we look to the ones place to tell us if we round up or down.

$\displaystyle 194,97{\color{Blue} 4}$

If the number in our ones place is $\displaystyle 5$ or greater, we round up. If the number in the ones place is $\displaystyle 4$ or less, we round down. When we round up, the number in the tens place increases by $\displaystyle 1$ and all the other numbers to the right become $\displaystyle 0$. When we round down, the number in the tens place stays the same and all the other numbers to the right become $\displaystyle 0$.

In this case, $\displaystyle 4$ is less than $\displaystyle 5$ so our rounded number is $\displaystyle 194\textup,970$

When we round a number to the nearest hundred thousand we look to the ten thousands place to tell us if we round up or down.

$\displaystyle 3{\color{Blue} 3}7\textup,492$

If the number in our ten thousands place is $\displaystyle 5$ or greater, we round up. If the number in the ten thousands place is $\displaystyle 4$ or less, we round down. When we round up, the number in the hundred thousands place increases by $\displaystyle 1$ and all the other numbers to the right become $\displaystyle 0$. When we round down, the number in the hundred thousands place stays the same and all the other numbers to the right become $\displaystyle 0$.

In this case, $\displaystyle 3$ is less than $\displaystyle 5$ so our rounded number is $\displaystyle 300\textup,000$

When we round a number to the nearest thousand we look to the hundreds place to tell us if we round up or down.

$\displaystyle 772\textup,{\color{Blue} 5}83$

If the number in our hundreds place is $\displaystyle 5$ or greater, we round up. If the number in the hundreds place is $\displaystyle 4$ or less, we round down. When we round up, the number in the thousands place increases by $\displaystyle 1$ and all the other numbers to the right become $\displaystyle 0$. When we round down, the number in the thousands place stays the same and all the other numbers to the right become $\displaystyle 0$.

In this case, $\displaystyle 5$ is equal to $\displaystyle 5$ so our rounded number is $\displaystyle 773\textup,000$

When we round a number to the nearest thousand we look to the hundreds place to tell us if we round up or down.

$\displaystyle 10\textup,{\color{Blue} 8}34$

If the number in our hundreds place is $\displaystyle 5$ or greater, we round up. If the number in the hundreds place is $\displaystyle 4$ or less, we round down. When we round up, the number in the thousands place increases by $\displaystyle 1$ and all the other numbers to the right become $\displaystyle 0$. When we round down, the number in the thousands place stays the same and all the other numbers to the right become $\displaystyle 0$.

In this case, $\displaystyle 8$ is greater than $\displaystyle 5$ so our rounded number is $\displaystyle 11\textup,000$

When we round a number to the nearest hundred we look to the tens place to tell us if we round up or down.

$\displaystyle 3\textup,1{\color{Blue} 0}9$

If the number in our tens place is $\displaystyle 5$ or greater, we round up. If the number in the tens place is $\displaystyle 4$ or less, we round down. When we round up, the number in the hundreds place increases by $\displaystyle 1$ and all the other numbers to the right become $\displaystyle 0$. When we round down, the number in the hundreds place stays the same and all the other numbers to the right become $\displaystyle 0$.

In this case, $\displaystyle 0$ is less than $\displaystyle 5$ so our rounded number is $\displaystyle 3\textup,100$