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 \(\displaystyle 3\textup,100\)

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

\(\displaystyle 9{\color{Blue} 2}1\)

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 \(\displaystyle 900\)

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

\(\displaystyle 89\textup,34{\color{Blue} 5}\)

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, \(\displaystyle 5\) is equal to \(\displaystyle 5\) so our rounded number is \(\displaystyle 89\textup,350\)

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

\(\displaystyle 6\textup,13{\color{Blue} 5}\)

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, \(\displaystyle 5\) is equal to \(\displaystyle 5\) so our rounded number is \(\displaystyle 6\textup,140\)

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

\(\displaystyle 4{\color{Blue} 2}3\)

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 \(\displaystyle 400\)

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

\(\displaystyle 1\textup,8{\color{Blue} 0}2\)

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, \(\displaystyle 0\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 1\textup,800\)

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

\(\displaystyle 66\textup,{\color{Blue} 8}35\)

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 \(\displaystyle 67\textup,000\)

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

\(\displaystyle 4\textup,7{\color{Blue} 0}2\)

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, \(\displaystyle 0\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 4\textup,700\)