State exam question on rounding, 5th grade math. #2

NGSS Science Videos

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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. A student wants to round the number 54 and 6,758 ten-thousands.

00:45Which place value should the student round to so that the digit 6 appears two times?

00:51To answer this question, we'll look at each answer choice.

00:54Before we look at option A, let's make a rounding rainbow.

00:59Let's start by writing the decimal point and drawing a dashed line. We'll write in the ones

01:03place above the dashed line. Then, we'll draw five dashed lines on the left and five on the right.

01:10Each dashed line will be a place value. Then, we draw in the arches that connect the matching

01:15place values on each side. Now, we write the name of the place values for each arch. And finally,

01:21we write a reminder that those on the right side of the decimal have a suffix that says THS.

01:27We call this the rounding rainbow. Now, we're ready to look at option A.

01:33Let's round this original number to the hundredths place and see how many digits are six.

01:38Since we're going to round this number to the hundredths place,

01:40we first circle the hundredths place. That's the digit seven. Then, we write the rhyme that tells

01:46us how to round. It says, look next door, if it's more than four, then add one more.

01:52We'll draw a rectangle which is the shape of a door. This is next to the digit we want to round.

01:58In this case, the next door digit is five. Five is more than four. So, we will add one to seven,

02:04which totals eight. That means the hundredths digit changes from being seven to being eight.

02:10Here's what the rounded number looks like. Please note that all the digits to the right of the rounded

02:14digit become zero. When the digits that are farthest to the right of the decimal are zero,

02:20we call these trailing zeros. We can write these if we want, but it's more common to skip them.

02:26So, the simplified version of this rounded number looks like this. We pronounce this number as 54

02:31and 68 hundredths. Here's the rounded number next to option A. The directions tell us to find the

02:38answer option where the digit six appears two times. There is only one digit that's a six. So,

02:45this answer option is wrong. Now we're ready to look at option B. Let's round this original number to

02:52the tens place and see how many digits are six. Since we're going to round this number to the

02:56tens place, we first circle the tens place. That's the digit five. Then we write the round that tells us

03:03how to round. It says, look next door. If it's more than four, then add one more. We'll draw a rectangle,

03:10which is the shape of a door. This is next to the digit we want to round. In this case, the next door

03:16digit is four. Four is equal to four, so we will not add one to the digit that we're rounding. Instead,

03:23we'll leave it as it is. That means the tens digit stays as a five. Here's what the rounded number

03:28looks like. Please note that all the digits to the right of the rounded digit become zero. When the

03:34digits that are farthest to the right of the decimal are zero, we call these trailing zeros. We can write

03:40these if we want, but it's more common to skip them. So, the simplified version of this rounded number

03:45looks like this. We pronounce this number as 50. Here's the rounded number next to option B.

03:52The directions tell us to find the answer option where the digit six appears two times. There are

03:58no digits that are six. So, this answer option is wrong. Now we're ready to look at option C.

04:06Let's round this original number to the tens place and see how many digits are six. Since we're going to

04:12round this number to the tens place, we first circle the tens place. That's the digit six. Then,

04:18we write the rhyme that tells us how to round. It says, look next door, if it's more than four,

04:23then add one more. We'll draw a rectangle which is the shape of a door. This is next to the digit we want

04:30to round. In this case, the next door digit is seven. Seven is greater than four, so we'll add one to the

04:36digit we're rounding. That means the tens digit changes from a six to a seven. Here's what the

04:41rounded number looks like. Please note that all the digits to the right of the rounded digit become

04:46zero. When the digits that are farthest to the right of the decimal are zero, we call these trailing

04:52zeros. We can write these if we want, but it's more common to skip them. So, the simplified version of

04:58this rounded number looks like this. We pronounce this number as 54 and 7 tenths. Here's the rounded

05:06number next to option C. The directions tell us to find the answer option where the digit six

05:12appears two times. There are no digits that are a six. So, this answer option is wrong. Now we're

05:19ready to look at option D. Let's round this original number to the thousandths place and see how many digits

05:26are six. Since we're going to round this number to the thousandths place, we first circle the

05:31thousandths place. That's the digit five. Then, we write the rhyme that tells us how to round. It says,

05:38look next door, if it's more than four, then add one more. We'll draw a rectangle, which is the shape

05:44of a door. This is next to the digit we want to round. In this case, the next door digit is eight. Eight is

05:50greater than four. So, we'll add one to the digit we're rounding. That means the thousandths digit

05:56changes from a five to a six. Here's what the rounded number looks like. Please note that the

06:01digit to the right of the rounded digit becomes zero. When the digit farthest to the right of the decimal

06:06is zero, we call that a trailing zero. We can write it if we want, but it's more common to skip it.

06:12So, the simplified version of this rounded number looks like this.

06:16We pronounce this number as fifty-four and six hundred seventy-six thousandths.

06:21Here's the rounded number next to option D. The directions tell us to find the answer option

06:26where the digit six appears two times. There are two digits that are six. So, this answer option

06:33is correct. Choice D is correct. Thanks for your attention.

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