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 $\displaystyle 167.42$

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

$\displaystyle 275.13{\color{Blue} 9}$

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, $\displaystyle 9$ 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.

$\displaystyle 345.17{\color{Blue} 3}$

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 $\displaystyle 345.170$ or $\displaystyle 345.17$

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

$\displaystyle 429.31{\color{Blue} 4}$

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 $\displaystyle 429.310$ or $\displaystyle 429.31$

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

$\displaystyle 593.45{\color{Blue} 6}$

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 $\displaystyle 593.460$ or $\displaystyle 593.46$

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

$\displaystyle 658.57{\color{Blue} 2}$

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, $\displaystyle 2$ is less than $\displaystyle 5$ so our rounded number is $\displaystyle 658.570$ or $\displaystyle 658.57$