Rounding Numbers to the Nearest Ten, Hundred, and Thousand

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Presentation transcript:

Rounding Numbers to the Nearest Ten, Hundred, and Thousand

Rounding Numbers to the Nearest Ten, Hundred, and Thousand Instructional Objective: To Investigate and develop an understanding of the base ten place value system Click here to continue

What is rounding numbers? You can estimate when you need to know about how many or about how much. Rounding is one way to estimate. http://youtube.com/watch?v=L2lM4agM3xU Click here to continue

Rounding to the Nearest Ten You estimate which ten the number you are rounding is closest to. If you saw a road sign that said Flint was 17 miles away, then you could say that Flint is about 20 miles away. 10 11 12 13 14 15 16 17 18 19 20 17 rounds to 20 Because 17 is closer to 20 than 10 Flint 17 miles continue

Look at these examples. Try to determine what the rule is for rounding to the nearest ten. Choose the rule: If the number in the ones column is 0, 1, 2, 3, or 4 then round up to the greater ten. If the number in the ones column is 0,1,2,3, or 4, then round down to the lesser ten. What does 12 round to? What does 93 round to? What does 15 round to? What does 77 round to? What does 22 round to? A B

Yes!! You are correct. When a number has a 0, 1, 2, 3, or 4 in the ones column you round to the lesser ten! For example 83 rounds to 80. Click here to continue

Think of rounding like a car going over a hill Think of rounding like a car going over a hill. If you are to round 54 to the nearest ten, then your choices are either round back to 50 or up to 60. You always need to look at the number in the ones column. If the car goes up to 54 and stops, then it will roll back to 50. 54 rounds to 50 Click here to continue 55 54 53 56 57 52 58 51 59 50 60

Here is another example Here is another example. If you are to round 87 to the nearest ten, then your choices are either round back to 80 or up to 90. If the car goes to 87 and stops, then it will roll to 90. 87 rounds to 90 Click here to continue 85 84 83 86 87 82 88 81 89 80 90

Now it’s your turn to round to the nearest ten! 35 30 40 A B C

Sorry. Remember the rules: If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down . If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up. Click here to try again

Yes!! You are correct. Click here to continue

Now it’s your turn to round to the nearest ten! 70 100 60 A B C

Sorry. Remember the rules: If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down . If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up. Click here to try again

Yes!! You are correct. Click here to continue

Now it’s your turn to round to the nearest ten! 20 50 30 A B C

Sorry. Remember the rules: If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down . If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up. Click here to try again

Yes!! You are correct. Click here to continue

Next you will learn about rounding to the nearest hundred. When rounding to the nearest hundred, you are finding out which hundred a number is closest to. Click here to continue

Rounding to the Nearest Hundred Swartz Creek 230 miles You estimate which hundred the number you are rounding is closest to. If you saw a road sign that said Swartz Creek was 230 miles away, then you could say that Swartz Creek is about 200 miles away. 200 210 220 230 240 250 260 270 280 290 300 230 is closer to 200 230 rounds to 200 continue

Look at these examples. Try to determine what the rule is for rounding to the nearest hundred. Choose the rule: If the number in the tens column is 0, 1, 2, 3, or 4 then round up to the greater hundred. If the number in the tens column is 0,1,2,3, or 4, then round down to the lesser hundred. 241 rounds to 200 532 rounds to 500 A B

Sorry. Look at the numbers in the tens column. Do they cause the number to be rounded to the lesser hundred or the greater hundred? Click here to try again.

Yes!! You are correct. When a number has a 0, 1, 2, 3, or 4 in the tens column you round to the lesser hundred! For example 429 rounds to 400. Click here to continue

Look at these examples. Try to determine what the rule is for rounding to the nearest hundred. Choose the rule: If the number in the tens column is 5, 6, 7, 8, or 9 then round up to the greater hundred. If the number in the tens column is 5, 6, 7, 8, or 9 then round down to the lesser hundred. 381 rounds to 400 262 rounds to 300 958 rounds to 1000 A B

Sorry. Look at the numbers in the tens column. Do they cause the number to be rounded to the lesser hundred or the greater hundred? Click here to try again

Yes!! You are correct. When a number has a 5, 6, 7, 8, or 9 in the tens column you round to the greater hundred! Click here to continue

Remember the example of the car going over the hill Remember the example of the car going over the hill. When rounding to the nearest hundred, any number that ends in 49 or less will cause the car to roll back to the lesser hundred and any number that ends in 50 or greater, will cause the car to roll up to the greater hundred. If you round 720 to the nearest ten, then your choices are either round back to 700 or up to 800. If the car goes up to 720 and stops, then it will roll back to 700. Click here to continue 720 rounds to 700 750 740 730 760 770 720 780 710 790 700 800

Here is another example Here is another example. If you round 360 to the nearest hundred, then your choices are either round back to 300 or up to 400. If the car goes to 360 and stops, then it will roll to 400. Click here to continue 360 rounds to 400 350 340 330 360 370 320 380 310 390 300 400

Now it’s your turn to round to the nearest hundred! 200 300 400 A B C

Sorry. Remember the rules: If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down . If the number you are rounding is followed by a 5, 6, 7, 8, or 9, then round up. Click here to try again

Yes!! You are correct. Click here to continue

Round to the nearest hundred. 500 550 600 A B C

Sorry. Remember the rules: If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down . If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up. Click here to try again

Yes!! You are correct. Click here to continue

Round to the nearest hundred. 600 700 800 A B C

Sorry. Remember the rules: If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down . If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up. Click here to try again

Yes!! You are correct. Click here to continue

Last you will learn to round to the nearest thousand! When you round to the nearest thousand you are estimating which thousand the number is closest to. Click here to continue

Rounding to the Nearest Thousand Posen 2600 miles You estimate which thousand the number you are rounding is closest to. If you saw a road sign that said Posen was 2600 miles away, then you could say that Posen is about 3000 miles away. 2000 2100 2200 2300 2400 2500 2600 2700 2800 2900 3000 2600 rounds to 3000 2600 is closer to 3000 than 2000 continue

Look at these examples. Try to determine what the rule is for rounding to the nearest thousand. 2456 rounds to 2000 5302 rounds to 5000 3289 rounds to 3000 7367 rounds to 7000 8422 rounds to 8000 7056 rounds to 7000 1245 rounds to 1000 9135 rounds to 9000 Choose the rule: If the number in the hundreds column is 0, 1, 2, 3, or 4 then round up to the greater thousand. If the number in the hundreds column is 0,1,2,3, or 4, then round down to the lesser thousand. A B

Sorry. Look at the numbers in the hundreds column. Do they cause the number to be rounded to the lesser thousand or the greater thousand? Click here to try again.

Yes!! You are correct. When a number has a 0, 1, 2, 3, or 4 in the hundreds column you round to the lesser thousand! For example 8368 rounds to 8000. Click here to continue

Look at these examples. Try to determine what the rule is for rounding to the nearest thousand. 4589 rounds to 5000 6900 rounds to 7000 8954 rounds to 9000 Choose the rule: If the number in the hundreds column is 5, 6, 7, 8, or 9 then round up to the greater thousand. If the number in the hundreds column is 5, 6, 7, 8, or 9 then round down to the lesser thousand. A B

Sorry. Look at the numbers in the hundreds column. Do they cause the number to be rounded to the lesser thousand or the greater thousand? Click here to try again

Yes!! You are correct. When a number has a 5, 6, 7, 8, or 9 in the hundreds column you round to the greater thousand! Click here to continue

Let’s look at the hill again Let’s look at the hill again. If you are to round 6300 to the nearest thousand, then your choices are either round back to 6000 or up to 7000. If the car goes up to 6300 and stops, then it will roll back to 6000. 6300 rounds to 6000 Click here to continue 6500 6400 6300 6600 6700 6200 6800 6100 6900 6000 7000

Here is another example Here is another example. If you are to round 2900 to the nearest thousand, then your choices are either round back to 2000 or up to 3000. If the car goes to 2900 and stops, then it will roll to 3000. 2900 rounds to 3000 Click here to continue 2500 2400 2300 2600 2700 2200 2800 2100 2900 2000 3000

Now it’s your turn to round to the nearest thousand! 5800 6000 5000 A B C

Sorry. Remember the rules: If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down . If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up. Click here to try again

Yes!! You are correct. Click here to continue

Now it’s your turn to round to the nearest thousand! 2000 2050 2100 A B C

Sorry. Remember the rules: If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down . If the number you are rounding is followed by a 5, 6, 7, 8, or9, then round up. Click here to try again

Yes!! You are correct. Click here to continue

Now it’s your turn to round to the nearest thousand! 8430 8400 9000 A B C

Sorry. Remember the rules: If the number you are rounding is followed by a 0, 1, 2, 3, or 4, then round down . If the number you are rounding is followed by a 5, 6, 7, 8, or 9, then round up. Click here to try again

Yes!! You are correct. Click here to continue