State exam question on rounding 5th grade math. #1

NGSS Science Videos

This video helps children prepare for state math exams by explaining how to solve a retired (released) question from an actual state exam.    - If you want to copy any of our more than 100 free Google Forms (all with questions and links to free-access educational videos we've made), then please download this free file from TPT and it will give you directions for how to access them: https://www.teacherspayteachers.com/Product/State-Math-Test-questions-and-answers-as-a-Google-Form-2022-Q6-10-V2-11530867   Other free resources we've made:  - For links to many free educational resources, please visit our website (no 3rd party advertising, no subscriptions, no paywalls): https://TestPrepLLC.org/   - For our free apps for Apple's Mac and iPad (collects no data, no advertising, no subscriptions, no paywalls, no in-app purchases), please visit our page on the Apple App Store. These apps include Common Core and State based practice tests in math, and State science exams based on NGSS and State curriculums (all with detailed, colorful explanations): https://apps.apple.com/us/developer/test-prep-llc/id1727786893   Best wishes,  The staff at Test Prep LLC  https://TestPrepLLC.org

Transcript

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.

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