Decimals

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# Decimals - PowerPoint PPT Presentation

Decimals. Place counts!. Place Value. Place value is the digits “address” in the number. Think about where the digit is placed . . 0.123 The 1 is in the _____________ place The 2 is in the _____________ place The 3 is in the _____________ place. Digit Value.

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### Decimals

Place counts!

Place Value

Place value is the digits “address” in the number.Think about where the digit is placed.
• 0.123
• The 1 is in the _____________ place
• The 2 is in the _____________ place
• The 3 is in the _____________ place
Digit Value

Use place value to determine how much the digit is worth.

0.234

• The digit value of the 2 is _____ tenth

______ decimal form _______ fraction form

• The digit value of the 3 is _____ hundredths

______ decimal form _______ fraction form

• The digit value of the 4 is _____ thousandths

______ decimal form _______ fraction form

Compare and Order Decimals0.1 0.3 0.07 0.009 0.16 0.34 0.075 0.001 0.9

0.1

0.3

0.07

0.009

0.16

0.34

0.075

0.001

0.9

• Line up the decimal points
• Fill in with zeros
• Compare using place value and put in order

Step 1

Step 2

Step 3

0.001

0.009

0.070

0.075

0.100

0.160

0.300

0.340

0.900

0.100

0.300

0.070

0.009

0.160

0.340

0.075

0.001

0.900

Draw a line from Step 2 to Step 3. The first one has been done for you

Decimal form Word form Fraction form

0.001 one thousandths 1 / 1000

0.009 _____________ _______

0.070 _____________ _______

0.075 _____________ _______

0.100 _____________ _______

0.160 _____________ _______

0.300 _____________ _______

0.340 _____________ _______

0.900 _____________ _______

Decimal form Word form Fraction form

0.001 one thousandths 1 / 1000

0.009 _____________ _______

0.07 _____________ _______

0.075 _____________ _______

0.1 _____________ _______

0.16 _____________ _______

0.3 _____________ _______

0.34 _____________ _______

0.9 _____________ _______

Are these decimals equivalent to the ones on the previous page? Why or why not?

________________________________________________________________________

________________________________________________________________________

0.001

0.009

0.07

0.075

0.1

0.16

0.3

0.34

0.9

The first number line is for decimals from 0 to 0.001.

The second number line is for decimals from 0 to 0.01

The third number line is for decimals from 0 to 0.1

Where would the first number line be if you could place it on the second number line? Highlight that area on the second line.

Where would the second number line be if you could place it on the third number line? Highlight that area on the third line.

0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009 0.010

0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

a 0.001

b 0.009

c 0.07

d 0.075

e 0.1

f 0.16

g 0.3

h 0.34

i 0.9

Place the decimal numbers on the number lines below using the letter next to each decimal number. The first one has been done for you.

a

0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009 0.010

0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

Adding and Subtracting Decimals
• You must add place to place
• Line up the decimal points
• Fill in with zeros
• Add or subtract – regroup if necessary
• Bring the decimal point in the sum or difference straight down
Add and Subtractremember to fill in with zeros

2.633 + 0.07

0.8 – 0.04

2.633

+ 0.070

2.703

0.80

- 0.04

0.76