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

\(\displaystyle 6\textup,3{\color{Blue} 7}3\)

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, \(\displaystyle 7\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 6\textup,400\)

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.

\(\displaystyle 4{\color{Blue} 6}3\textup,897\)

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, \(\displaystyle 6\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 500\textup,000\)

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

\(\displaystyle 2\textup,1{\color{Blue} 2}6\)

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 \(\displaystyle 2\textup,100\)

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

\(\displaystyle 7\textup,8{\color{Blue} 7}2\)

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, \(\displaystyle 7\) is greater than \(\displaystyle 5\) so our rounded number is \(\displaystyle 7\textup,900\)

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

\(\displaystyle 6{\color{Blue} 5}\textup,178\)

If the number in our thousands place is \(\displaystyle 5\) or greater, we round up. If the number in the thousands place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the ten 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 ten 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 \(\displaystyle 70\textup,000\)

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

\(\displaystyle 46{\color{Blue} 3}\textup,974\)

If the number in our thousands place is \(\displaystyle 5\) or greater, we round up. If the number in the thousands place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the ten 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 ten 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 \(\displaystyle 460\textup,000\)

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

\(\displaystyle 6{\color{Blue} 5}2\)

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 \(\displaystyle 700\)

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

\(\displaystyle 12{\color{Blue} 9}\)

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 \(\displaystyle 130\)

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

\(\displaystyle 543\textup,67{\color{Blue} 3}\)

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 \(\displaystyle 543\textup,670\).

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

\(\displaystyle 42{\color{Blue} 9}\)

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 \(\displaystyle 430\)