Decimals

Place counts!

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

Place Value

Digit Value

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

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

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

0.10.30.070.0090.160.340.0750.0010.9

1. Line up the decimal points2. Fill in with zeros3. Compare using place value and put in order

0.1000.3000.0700.0090.1600.3400.0750.0010.900

0.0010.0090.0700.0750.1000.1600.3000.3400.900

Step 1 Step 2 Step 3

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

0.001 one thousandths 1 / 10000.009 _____________ _______0.070 _____________ _______0.075 _____________ _______0.100 _____________ _______0.160 _____________ _______0.300 _____________ _______0.340 _____________ _______0.900 _____________ _______

Decimal form Word form Fraction form

Decimal form Word form Fraction form

0.001 one thousandths 1 / 10000.009 _____________ _______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?

________________________________________________________________________

________________________________________________________________________

The first number line is for decimals from 0 to 0.001.The second number line is for decimals from 0 to 0.01The 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 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10

0.0010.0090.070.0750.10.160.30.340.9

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009 0.010

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.

0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10

a 0.001b 0.009c 0.07d 0.075e 0.1f 0.16g 0.3h 0.34i 0.9

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

0 0.001 0.002 0.003 0.004 0.005 0.006 0.007 0.008 0.009 0.010

a

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

2.633 + 0.070 2.703

0.8 – 0.04

0.80 - 0.04 0.76