What I know about decimals:

Decimal BasicsPlace Value Chart

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When reading or saying a decimal:1. Read the whole number first. (The number to the left of the decimal.)2. Say "and" when you come to the decimal.3. Read the entire number after the decimal (to the right of the decimal) and then say the name of the last place value spot filled in with a number.

Examples: 4.6 is "four and six tenths" 13.45 is "thirteen and fourty-five hundredths

Comparing and Ordering:< means "is less than" > means "is greater than = means "is equal to"

To compare:(deciding which one is larger or smaller):1.Look at the whole number. If one is clearly larger than the other, then that is the larger number. 2. If step #1 doesn't help, put zeros in as place holders so each number has the same amount of digits. Then compare each place value spot from left to right until you locate one that is greater than the other.

To put decimals in order:1. First using your comparing skills decide which one is largest, smallest, etc.2. Then put them in either ascending or descending order.

Different forms:

Word Form - write the number using wordsStandard Form - write the number using regular numberExpanded Form - write out what each place value spot represents, separated by addition signs

Example: 3.56 = 3 + .5 + 06 145.763 = 100 + 40 +

5 + .7 + .06 + .003

New Page!!!

Examples of comparing:

1.234 ___ 1.253

85.3 ___ 8.536

10.04 ___ 1.402

Examples of ordering:

Put these in ascending order.

1.34 3.4 1.345 13.45

Put these in descending order.

8.04 8.40 80.04 4.08

Rounding:

Rounding is specific and estimating is more general!

Rounding Rules:1. Locate the place value spot you are rounding to and draw a line under it.2. Box in the underlined number and the number to the right of the underlined number.3. Look at the number to the right.

If it's 5 or greater then you raise the underlined number by one.

If it's 4 or lower the underlined number stays the same.4. Then all the numbers to the left of the decimal stay the same.5. All the numbers to the right of the decimals turn into zeros.

Example: 2.85 Round to the nearest tenth.

15.971 Round to the nearest hundredth.

Estimating

The words "about how much" or "around" should be a clue that you are estimating and not rounding.

Estimating Rules:1. Estimating should be quick.2. Estimating should make your work easier!3. Estimations should be reasonable and make sense!

**YOU SHOULD NOT HAVE TO DO MUCH MATH WHEN YOU ESTIMATE! MOST WORK SHOULD BE DONE IN YOUR HEAD!

Examples: $3.76

$15.23 + $5.67 - $12.89

Converting a Decimal to a Fraction and vice versa:

To write a decimal as a fraction simply "say" the decimal in your head and write what you say.

***Don't forget to reduce always!

There are two ways to change a fraction to a decimalMethod #1:Because you have place value spots of "tenths", "hundredths", and "thousandths" you need the denominator of your fraction to be 10, 100, or 1000.

If your fraction has a denominator that you can convert to 10, 100, 1000 such as a 5, 20, etc. then you make an equivalent fraction with the denominator or 10, 100, 1000.

Method #2:If you cannot use method #1 easily, then you can also divide the numerator by the denominator (remember the line means "divided by") and get your decimal answer.

DECIMAL TO FXN:

1.32 is 1 and 32/100 which reduces to 1 and 8/25

56.8 is 56 and 8/10 which reduces to 56 and 4/5

FXN to DEC:

2/10 is simply .2

4/5 is equivalent to 8/10 so the decimal form is .8

3/25 is equivalent to 12/100 so the decimal form would be .12

TRY THESE ON YOUR OWN:2/5 = _______ 4/20 = _____

3/4 = _____

6/100 = _____ 8/10= ______1/3 = _____