00:00This video is part of a Google Form quiz that teachers can assign to their students for
00:05homework. After the students submit their answers, then they can play a video like
00:09this one to see the answer explained. We've made more than 100 quizzes as Google Forms
00:15with free access videos, which teachers are welcome to copy for free. To get access to these,
00:21please see the link in the description. This video is based on a question from an
00:26actual state exam. You may have one like this on your state exam. If you've not already watched the
00:31videos on the rounding rainbow and an introduction to rounding, then we suggest that you view those
00:37before watching this video. What is 9 in 76,000?
00:42Two hundred thirty-five hundred thousandths. Round it to the nearest thousandth.
00:47For problems about place values, we recommend that you first draw the rounding rainbow.
00:52Let's start by writing the decimal point and drawing a dashed line. We'll write in the ones
00:57place above the dashed line. Then, we'll draw five dashed lines on the left and five on the right.
01:03Each dashed line will be a place value. Then, we draw in the arches that connect the matching
01:09place values on each side. Now, we write the name of the place values for each arch. And finally,
01:15we write a reminder that those on the right side of the decimal have a suffix that says THS.
01:20We call this the rounding rainbow. Now that all the place values are labeled,
01:25we'll write the numeral below it. This is the original number as stated in the question.
01:31The question asks us to round this to the thousandths place.
01:34So, we'll draw a circle around the digit in the thousandths place. That's the digit two.
01:40Then, we write the round that tells us how to round. It says,
01:43Look next door. If it's more than four, then add one more.
01:48We'll draw a rectangle, which is the shape of a door. This is next to the digit we want around.
01:53In this case, the next door is the digit three. If this was more than four,
01:58then we would add one more to the digit we want around. So, the two would become a three. But three
02:04is not more than four. Three is less than four. That means we leave the digit in the circle alone.
02:10So, the digit in the thousandths place stays as a two.
02:14Here's what the rounded number looks like. Please note that all the digits to the right
02:18of the rounded digit becomes zero. When the digits that are farthest to the right of the decimal are
02:24zero, we call these trailing zeros. We can write these if we want, but it's more common to skip them.
02:30So, the simplified version of this rounded number looks like this. We pronounce this number as
02:36nine in 762 thousandths. Choice B is correct. Thanks for your attention.
