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Rounding (Nearest 10 and 100)
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 How to round to the nearest 10 and the nearest hundred.
 Rounding can make numbers more understandable to work with.
 We'll discover that this knowledge can let us count how many balloons are at a party, how many animals live on a farm & even how many toys are in a toy store!

Discussion Questions

Before VideoWhat is the value of each place in the number 634?ANSWER

Hundreds place: 600, tens place: 30, ones place: 4.

Students could draw a number line showing a tick mark for each number between 630 and 640 and label the tick mark for 634.

The hundreds place is the same in both numbers, so I need to compare the tens place. There are 0 tens in 207 and there are 5 tens in 250. 5 tens is greater than 0 tens, so 250 is greater than 207.

The digits in the hundreds place in each number are different, so I can compare the digits in the hundreds place. 9 is in the hundreds place in 948. 8 is in the hundreds place in 899. 9 is greater than 8, so 948 is greater than 899.

Jaffar is not correct. The way to 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 2 is in the hundreds place in 200. There is no digit in the hundreds place in 99. This is the same as having 0 in the hundreds place. So we can compare the digits in the hundreds place. 2 is greater than 0, so 200 is greater than 99.


After VideoHow can you draw and label a number line to help you round 378 to the nearest ten?ANSWER

Draw a number line from 370 to 380. Put a tick mark in the middle and label it 375. 378 is greater than 375, so plot the point for 378 between 375 and 380. 378 is closer to 380 than 370, so 378 rounds up to 380.

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.

First I look at the tens place, which has the digit 4. The place to the right of that place is the ones place, and it has a 5. When I have a 5 in the place to the right, I round up, so 645 rounded to the nearest ten is 650.

849.

257.



Vocabulary

Rounding
DEFINE
Makes numbers less exact but more convenient to work with.

Nearest ten
DEFINE
The multiple of ten that is closest to a given number.

Nearest hundred
DEFINE
The multiple of one hundred that is closest to a given number.

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.

Ones place
DEFINE
The place in a number that tells how many ones are in the number. In 247, there are 7 ones in the ones place.

Tens place
DEFINE
The place in a number that tells how many tens are in the number. In 247, there are 4 tens in the tens place.

Hundreds place
DEFINE
The place in a number that tells how many hundreds are in the number. In 247, there are 2 hundreds in the hundreds place.

Round up
DEFINE
Round to a number that is greater than the original number.

Round down
DEFINE
Round to a number that is less than the original number.

Rounding
DEFINE

Reading Material
Download as PDF Download PDF View as Separate PageWHAT IS ROUNDING TO THE NEAREST 10 AND 100?Rounding means choosing a simpler number close to the original number. These simpler numbers may be easier to solve problems with.
To better understand Rounding (NEAREST 10 AND 100)…
WHAT IS ROUNDING TO THE NEAREST 10 AND 100?. Rounding means choosing a simpler number close to the original number. These simpler numbers may be easier to solve problems with. To better understand Rounding (NEAREST 10 AND 100)…LET’S BREAK IT DOWN!
Toy Cars
Let’s say you have 57 toy cars and you want to round the number of cars you have to the nearest ten. You can draw a number line from 50 to 60 to help you round. After you draw the number line, mark the halfway point at 55. Then you can locate 57 on the number line. 57 is greater than 55 so you know that the point for 57 is to the right of 55. Now you can see that 57 is closer to 60 than to 50, so you round up to 60. You have about 60 toy cars. Try this one yourself. You bought 42 flowers for a party. Round the number of flowers you bought to the nearest ten.
Toy Cars Let’s say you have 57 toy cars and you want to round the number of cars you have to the nearest ten. You can draw a number line from 50 to 60 to help you round. After you draw the number line, mark the halfway point at 55. Then you can locate 57 on the number line. 57 is greater than 55 so you know that the point for 57 is to the right of 55. Now you can see that 57 is closer to 60 than to 50, so you round up to 60. You have about 60 toy cars. Try this one yourself. You bought 42 flowers for a party. Round the number of flowers you bought to the nearest ten.Bouncy Balls
Let’s say you have 85 bouncy balls and you want to round the number of bouncy balls you have to the nearest ten. 85 bouncy balls is between 80 and 90. You make a number line from 80 to 90 and mark the halfway point at 85. Since the number of bouncy balls you have is halfway between 80 and 90, you follow the rounding rule and round up to 90. You have about 90 bouncy balls. There is a pattern. You don’t have to always draw a number line. If you want to round to the nearest ten, you can look at the digit in the ones place. If it’s 4 or less, you round down. If it’s 5 or greater, you round up. Since there is a 5 in the ones place, you round up to 90 and get the same answer: about 90 bouncy balls. Try this one yourself. You have 64 bouncy balls. Round the number of bouncy balls you have to the nearest ten.
Bouncy Balls Let’s say you have 85 bouncy balls and you want to round the number of bouncy balls you have to the nearest ten. 85 bouncy balls is between 80 and 90. You make a number line from 80 to 90 and mark the halfway point at 85. Since the number of bouncy balls you have is halfway between 80 and 90, you follow the rounding rule and round up to 90. You have about 90 bouncy balls. There is a pattern. You don’t have to always draw a number line. If you want to round to the nearest ten, you can look at the digit in the ones place. If it’s 4 or less, you round down. If it’s 5 or greater, you round up. Since there is a 5 in the ones place, you round up to 90 and get the same answer: about 90 bouncy balls. Try this one yourself. You have 64 bouncy balls. Round the number of bouncy balls you have to the nearest ten.Cows
Let’s say you’re a farmer and you have 142 cows. You want to round the number of cows you have to the nearest ten. To round to the nearest ten, look at the digit to the right of the tens place. If it’s 5 or more, you round up. If it’s 4 or less, you round down. 142 has a 2 in the ones place, so you round down to 140. You have about 140 cows. Try this one yourself. A farmer has 178 pigs. Round the number of pigs they have to the nearest ten.
Cows Let’s say you’re a farmer and you have 142 cows. You want to round the number of cows you have to the nearest ten. To round to the nearest ten, look at the digit to the right of the tens place. If it’s 5 or more, you round up. If it’s 4 or less, you round down. 142 has a 2 in the ones place, so you round down to 140. You have about 140 cows. Try this one yourself. A farmer has 178 pigs. Round the number of pigs they have to the nearest ten.Jelly Beans
Let’s say you have 329 jelly beans and you want to round the number of jelly beans you have to the nearest hundred. To round to the nearest hundred, look at the digit to the right of the hundreds place. If it’s 5 or more, you round up. If it’s 4 or less, you round down. 329 has a 2 in the tens place, so you round down to 300. You have about 300 jelly beans. Try this one yourself. You have 378 jelly beans. Round the number of jelly beans you have to the nearest hundred.
Jelly Beans Let’s say you have 329 jelly beans and you want to round the number of jelly beans you have to the nearest hundred. To round to the nearest hundred, look at the digit to the right of the hundreds place. If it’s 5 or more, you round up. If it’s 4 or less, you round down. 329 has a 2 in the tens place, so you round down to 300. You have about 300 jelly beans. Try this one yourself. You have 378 jelly beans. Round the number of jelly beans you have to the nearest hundred. 
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Practice Number Problems

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Round 75 to the nearest ten.
Round 934 to the nearest hundred.
Jason says 345 rounded to the nearest ten is 340. Is Jason correct? Explain.
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