REPRESENTING, COMPARING, AND ORDERING DECIMALS

V. EVERETTSMS6TH GRADE MATHEMATICS

FOCUS

NCSOS OBJECTIVE 1.03 AND 1.04

READING DECIMALSWRITING DECIMALS COMPARING AND ORDERING DECIMALS

Place Value

Place Value of Decimals

Why place value is important?Tells us the meaning of a number

Example: $15 is more than $.15

Place value can help you understand and write decimal numbers

You can compare numbers using place value

Example: 15.00 .15

What are decimals?

a combination: a whole number and a number in between whole numbersrepresent the numbers in between whole number.Numbers that have a decimal point

Reading DecimalsTo read decimals

I. Read the whole numberII. Read the decimal as “and”III. Read the number after the decimal and its place

valueExample:a) 3.16 is read as three and sixteen hundredthsb) 14.011 is read as fourteen and eleven thousandthsc) 0.69 is read as sixty-nine hundredths

WRITING DECIMALS

THREE FORMS:Standard: 2015.05Expanded: 2000 + 10 + 5 + 0.05Word: two thousand fifteen and five hundredths

If you can say it, you can write it!!

Tips for writing in expanded formWrite the number that appears before the decimal point in expanded form.For decimals, place a zero in the ones place.Also, substitute zeroes for all spaces after the decimal point that come before the digit that you are working with.

PRACTICEStandard

form Expanded form Word form0.085

90000 + 800 + 10 + 3 + 0.07 + 0.006 + 0.0005

Ten and forty one hundredths

400 + 50 + 2 + 0.7 + 0.09 + 0.002

86,945.56

Four thousand nine hundred ninety one and six tenths

COMPARING DECIMALSIf you are comparing tenths to hundredths, you can use a

tenths grid and a hundredths grid. Here, you can see that 0.4 is greater than 0.36.

COMPARING DECIMALSThere is a simple way to compare decimals!!

( just like comparing whole numbers)1. Line up the numbers vertically by the decimal

point.2. Add “0” to fill in any missing spaces.3. Compare from left to right.

Use >, <, or = to compare decimals

Comparing DeicmalsExample: 12.36 ___ 12.24

Step 1: 12.36 12.24Step 2: no zeros neededStep 3: the same digits are in the tens and ones

placeIn the tenths place 3 is bigger than 2.So 12.36 is greater than 12.24

Answer: 12.36 >12.24

PRACTICE1)0.9 ____0.8752)3.65 ____3.5893)9.09____9.24)3.099____3.1

ORDERING DECIMALS

TWO WAYS TO ORDER ASCENDING DESCENDING

LEAST TO GREATEST GREATEST TO LEAST

ORDERING DECIMALSUSE THE SAME METHOD FOR COMPARING TO

ORDER DECIMALS

Put these numbers in ASCENDING order:12.5; 12.24; 11.96; 12.36

12.5012.2411.9612.36

ANSWER: 11.96, 12.24, 12.36, 12.5

PRACTICEPUT IN DESCENDING ORDER:14.35, 14.3, 14.05, 14.354, 14.39

ASSIGNMENTS

CLASSWORK:PRACTICE 1-2 AND 1-3 ODDS ONLY

HOMEWORK: RETEACHING 1-2 AND 1-3 EVENS ONLY