Rounding Decimals

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Rounding Decimals. Steps for Rounding Decimals. 1.Draw a line after the digit on the place to which you are rounding. 3.543 rounded to the nearest tenth 3. 5 4 3 2.Draw an arrow to the digit on the right. 3. 5 4 3 - PowerPoint PPT Presentation

Transcript of Rounding Decimals

Page 1: Rounding Decimals
Page 2: Rounding Decimals

Steps for Rounding Steps for Rounding DecimalsDecimals1.1. Draw a line after the digit on the place to Draw a line after the digit on the place to

which you are rounding.which you are rounding.

3.543 rounded to the nearest tenth3.543 rounded to the nearest tenth

3. 5 4 33. 5 4 3

2.2. Draw an arrow to the digit on the right. Draw an arrow to the digit on the right.

3. 5 4 33. 5 4 3

3.3. If the digit after the line is 0, 1, 2, 3, or 4, If the digit after the line is 0, 1, 2, 3, or 4, then the digit before the line remains the then the digit before the line remains the same.same.

4.4. Drop all the digits after the line.Drop all the digits after the line.

3. 53. 54 4 33

Page 3: Rounding Decimals

5.5. If the digit after the line is 5, 6, 7, 8, or 9, If the digit after the line is 5, 6, 7, 8, or 9, then the first digit goes up.then the first digit goes up.

Round 3.573 to the nearest tenth.Round 3.573 to the nearest tenth.

3. 5 7 33. 5 7 3

3. 6 3. 6

Remember to drop all digits after the line!!Remember to drop all digits after the line!!

7 7 33

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REMEMBER:

5 or more, add one more

4 or less, let it rest!

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The Rounding PoemThe Rounding Poem

Find your numberFind your number

Look right next doorLook right next door

4 or less, just ignore4 or less, just ignore

5 or more, add one more!5 or more, add one more!

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Round 4.167 to the closest hundredthsRound 4.167 to the closest hundredths

4.167 Find your number

Look right next door4.174.174 or less, just ignore

5 or more, add one more!

YoYou’ru’re e

FIRE!!!!FIRE!!!!! !

oonn

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Special Case!Special Case!Rounding a 9Rounding a 9

Round 2.197 to the hundredths place

Since there is a “9” in the hundredths Since there is a “9” in the hundredths place and the digit to the right is a “7”, place and the digit to the right is a “7”, consider the tenth and hundredths consider the tenth and hundredths together – 19 – do you leave it at 19 or together – 19 – do you leave it at 19 or move it to 20?move it to 20?

2.197 rounded to the hundredths place is 2.20

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Round 4.95 to the tenths place

Since there is a “9” in the Since there is a “9” in the tenth spot and a “5” to the tenth spot and a “5” to the right, consider the ones and right, consider the ones and tenths together…… should you tenths together…… should you leave it at 49 or move it to 50?leave it at 49 or move it to 50?

4.95 rounded to the nearest tenth is 5.0

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RememberRemember

If you are asked to round to If you are asked to round to the nearest tenth…….your the nearest tenth…….your

answer answer stopsstops at the tenth at the tenth place!place!

Example: Rounding 42.73 to Example: Rounding 42.73 to the tenths place would be the tenths place would be 42.742.7

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Let’s try these numbersLet’s try these numbersRound to the underlined place-value Round to the underlined place-value

position.position.

1) 11) 188.44 ≈ __________.44 ≈ __________

2) 0.82) 0.8449 ≈ __________9 ≈ __________

3) 20.3) 20.442 ≈ __________2 ≈ __________

4) 19.74) 19.7775 ≈ _________5 ≈ _________

5) 3.5) 3.4471 ≈ __________71 ≈ __________

6) 99.6) 99.998 ≈ __________8 ≈ __________

18180.850.8520.420.419.7819.783.53.5

100.0100.0

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Try theseTry these

Round to tenths:

4.56 4.6

5.32 5.3

0.98 1.0

Round to hundredths:

18.784 18.78

9.456 9.46

9.997 10.00

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Round the numbers on each flower Round the numbers on each flower to the nearest….to the nearest….

1.928

0.056

2.594

0.39

0.205

1.395

2.222

0.933

1) ones 2) tenths

3) hundredths

4) tenths5) ones 6) hundredths

7) ones8) tenths

2 0.4 0.21

0.1 1 0.93

3 2.2