DECIMALS

NOTATION&

ROUNDING

Math Learning e-Resource CenterOpen University Malaysia

THOUSANDS

HUNDREDS

TENS

ONES

DECIMAL POINT

TENTHS

HUNDREDTHS

THOUSANDTHS

TENTHOUSANDTHS

HUNDRED

THOUSANDTH

S

1 000 100 10 1 ∙ 1/

101/

100

1/1

000

1/10

000

1/100 000

PLACE VALUE

© Math Learning e-Resource Center

TENTHS5/10 = 0.5 HUNDREDTH

S6/100 = 0.06

THOUSANDTHS

7/1000 = 0.007 TEN-

THOUSANDTHS8/10 000 = 0.0008

HUNDRED-THOUSANDTHS9/100 000 = 0.00009

-NOTATION-

NEXT© Math Learning e-Resource Center

Identify Place Value

Look at the Right Side Digit

Leave the digit that needs to be rounded as it is.

Add 1 to the digit that needs to be

rounded.

Replace the numbers to its

rightwith zeros

If5 and above

IfLess than

5

STEPS: ROUNDING DECIMALS

NEXT© Math Learning e-Resource Center

TENTHS

5/10 = 0.5HUNDREDTHS6/100 = 0.06

THOUSANDT

HS7/1000 =

0.007

TEN-THOUSANDTHS8/10 000 = 0.0008

HUNDRED-THOUSANDTHS9/100 000 = 0.00009

-ROUNDING-

Click e

ach

clou

d to see

the

exam

ple

© Math Learning e-Resource Center

•Example: 27.59

• Number 5 is in tenths

column. To its right is 9

which is more than 5.

• Add 1 to that column,s0 the

answer is 27.60 or can be

written as 27.6

NEXT

© Math Learning e-Resource Center

•Example: 763.84

• Digit 8 is in tenths column. To

its right is 4 which is less than 5

• Leave the digit as it is, so the

answer is 763.80 or can be

written as 763.8

BACK © Math Learning e-Resource Center

•Example: 0.786

• Number 8 is in hundredths

column. To its right is 6

which is more than 5.

• Add 1 to that column, so the

answer is 0.790 or can be

written as 0.79NEXT

© Math Learning e-Resource Center

•Example: 0.152

• Digit 5 is in hundredths column.

To its right is 2 which is less than 5

• Leave the digit as it is, so the

answer is 0.150 or can be written

as 0.15.BACK

© Math Learning e-Resource Center

•Example: 12.9599

• Number 9 is in thousandths

column. To its right is 9

which is more than 5.

• Add 1 to that column, so the

answer is 12.9600 or can be

written as 12.96NEXT

© Math Learning e-Resource Center

•Example: 84.6493

• Digit 9 is in thousandths

column. To its right is 3 which

is less than 5

•Leave the digit as it is, so the

answer is 84.6490 or can be

written as 84.649

BACK© Math Learning e-Resource Center

•Example: 0.026873

• Number 8 is in ten-

thousandths column. To its

right is 7 which is more than

5.

• Add 1 to that column, so the

answer is 0.026900 or can be

written as 0.0269

NEXT

© Math Learning e-Resource Center

•Example: 0.085513

• Number 5 is in ten-thousandths

column. To its right is 1 which is less

than 5.

• Leave the digit as it is, so the answer

is 0.085500 or can be written as

0.0855

BACK© Math Learning e-Resource Center

•Example: 5.026439

• Number 3 is in hundred-

thousandths column. To its

right is 9 which is more than

5.

• Add 1 to that column, so the

answer is 5.026440 or can be

written as 5.02644

NEXT

© Math Learning e-Resource Center

•Example: 4.0858632

• Number 6 is in hundred-

thousandths column. To its

right is 3 which is less than 5.

• Leave the digit as it is, so the

answer is 4.0858600 or can be

written as 4.08586END SLIDE

BACK

© Math Learning e-Resource Center

END SLIDE-THANK YOU-

© M

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e-R

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© M

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Basic Math: Decimal - Notation and rounding by Open University Malaysia is licensed under a Creative Commons Attribution-Noncommercial 3.0 Unported License. Based on a work at http://oer.oum.edu.my. Permissions beyond the scope of this license may be available at http://www.oum.edu.my.