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

\(\displaystyle 472.84{\color{Blue} 6}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths 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 \(\displaystyle 472.850\) or \(\displaystyle 472.85\)

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

\(\displaystyle 517.12{\color{Blue} 3}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths 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 \(\displaystyle 517.120\) or \(\displaystyle 517.12\)

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

\(\displaystyle 646.30{\color{Blue} 7}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths 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 \(\displaystyle 646.310\) or \(\displaystyle 646.31\)

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

\(\displaystyle 728.82{\color{Blue} 7}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths 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 \(\displaystyle 728.830\) or \(\displaystyle 728.83\)

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

\(\displaystyle 851.92{\color{Blue} 1}\)

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

In this case, \(\displaystyle 1\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 851.920\) or \(\displaystyle 851.92\)

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

\(\displaystyle 931.78{\color{Blue} 8}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths 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 \(\displaystyle 931.790\) or \(\displaystyle 931.79\)

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

\(\displaystyle 275.13{\color{Blue} 8}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths 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 \(\displaystyle 275.140\) or \(\displaystyle 275.14\)

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

\(\displaystyle 837.28{\color{Blue} 1}\)

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

In this case, \(\displaystyle 1\) is less than \(\displaystyle 5\) so our rounded number is \(\displaystyle 837.280\) or \(\displaystyle 837.28\)

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

\(\displaystyle 199.82{\color{Blue} 4}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths 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 \(\displaystyle 199.820\) or \(\displaystyle 199.82\)

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

\(\displaystyle 167.41{\color{Blue} 8}\)

If the number in our thousandths place is \(\displaystyle 5\) or greater, we round up. If the number in the thousandths place is \(\displaystyle 4\) or less, we round down. When we round up, the number in the thousandths place increases by \(\displaystyle 1\) and all the other numbers to the right become \(\displaystyle 0\). When we round down, the number in the thousandths 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 \(\displaystyle 167.420\) or \(\displaystyle 167.42\)