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Rounding (Nearest 1,000 & Beyond)
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What you will learn from this videoWhat you will learn
- How to round numbers as small as 1 thousand and as large as 1 million.
- That rounding large numbers can make them more efficient to work with and understand.
- That this knowledge can help us estimate how many fans are in a stadium, how many views a video has, and even how far away other planets are!
- Discussion Questions
Before Video
Write the number 3,748,091 in expanded notation.ANSWER3,000,000 + 700,000 + 40,000 + 8,000 + 90 + 1
The thousands place and the hundreds place are the same, so we compare the tens place. There is 1 ten in 1,619 and there are 7 tens in 1,673. 7 tens is greater than 1 ten, so 1,673 is greater than 1,619.
I start at the ten thousands place. Both numbers have 9 in the ten thousands place so I consider the place to the right. 8 thousands is greater than 4 thousands so 98,031 is greater.
ANSWERMio is not correct. The way we compare numbers is to start with the greatest place first and compare the digits in that place. If the digits are the same, move on to the next digit to the right. In this case the digit 3 is in the millions place in both numbers. So compare the digits in the hundred thousands place. The digit 4 is in the hundred thousands place in 3,499, 999. The digit 9 is in the hundred thousands place in 3,921,012. 9 is greater than 4 so 3,921,012 is greater than 3,499,999.
Mio is not correct. The way we compare numbers is to start with the greatest place first and compare the digits in that place. If the digits are the same, move on to the next digit to the right. In this case, the digit 3 is in the millions place in both numbers. So compare the digits in the hundred thousands place. The digit 4 is in the hundred thousands place in 3,499, 999. The digit 9 is in the hundred thousands place in 3,921,012. 9 is greater than 4 so 3,921,012 is greater than 3,499,999.
After Video
How would you label a number line to help you round 856,253 to the nearest thousand?ANSWERI could label a number line with 856,000 on the left and 857,000 on the right. I would mark the middle point, 856,500. I then locate where 865,253 should be placed between the marked points. 865,253 is less than 856,500 so it is closer to 856,000 on the number line. I would round down to 856,000.
Look to the right of the place you want to round to. If the digit in that place is 5 or greater, round up. If the digit in that place is less than 5, round down.
I’d look at the ten thousands place, which has the digit 9 in it. The place to the right of that place is the thousands place and it has a 6 in it. Since 6 is greater than 5, that means I round up. When I round 9 ten thousands up, it goes to 10 ten thousands. I do some regrouping and get 8,500,000.
ANSWER7,499,999
Use rounding to report attendance at a football game. Don’t use rounding to record measurements for a science experiment where you need to be very accurate.
- Vocabulary
- Rounding DEFINE
Makes a number simpler but keeps its value close to the original number.
- Estimate DEFINE
To find a value that is close enough to the right answer.
- Number line DEFINE
A straight line with numbers placed at equal intervals along its length.
- Halfway point DEFINE
A point that is halfway between two numbers on a number line.
- Digit DEFINE
A whole number from 0 to 9. Digits make up a number and have a value based on the place they are in.
- Compare DEFINE
When you compare numbers, you identify which number is greater and which number is lesser.
- Rounding DEFINE
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- Practice Number Problems
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Level 1
Round 4,756 to the nearest thousand.
Level 2
Round 574,903 to the nearest ten thousand.
Level 3
David says 3,457,698 rounded to the nearest hundred thousand is 3,400,000. Is David correct? Explain.
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