### Video Transcript

Round 0.5317 to the nearest hundredth.

In order to round this value to the nearest hundredth, we first need to identify the digit in the hundredth place. The space two digits to the right of the decimal point is the hundredth place. In order to round this three, we look to the right to the digit in the thousandths place. We see that it’s a one. And one we know is less than four. Therefore, we round down.

That means the digit in the hundredth place stays the same. All digits to the left of the hundredth place also stay the same. All digits to the right of the hundredth place become zero. Here, we have the hundredth place and all the digits to the left and they stay the same, 0.53. All the digits to the right of the hundredth place become zero. The digits after the three are unnecessary.

We can simplify by writing 0.530 and 5317 ten thousandths rounded to the nearest hundredth equals 0.53.