advertisement

V. EVERETT SMS 6TH GRADE MATHEMATICS NCSOS OBJECTIVE 1.03 AND 1.04 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 a combination: a whole number and a number in between whole numbers represent the numbers in between whole number. Numbers that have a decimal point To read decimals I. Read the whole number II. Read the decimal as “and” III. Read the number after the decimal and its place value Example: a) 3.16 is read as three and sixteen hundredths b) 14.011 is read as fourteen and eleven thousandths c) 0.69 is read as sixty-nine hundredths THREE FORMS: Standard: 2015.05 Expanded: 2000 + 10 + 5 + 0.05 Word: two thousand fifteen and five hundredths If you can say it, you can write it!! Tips for writing in expanded form Write 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. Standard form 0.085 Expanded form Word form 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 If 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. There 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 Example: 12.36 ___ 12.24 Step 1: 12.36 12.24 Step 2: no zeros needed Step 3: the same digits are in the tens and ones place In the tenths place 3 is bigger than 2. So 12.36 is greater than 12.24 Answer: 12.36 >12.24 1)0.9 ____0.875 2)3.65 ____3.589 3)9.09____9.2 4)3.099____3.1 TWO WAYS TO ORDER ASCENDING DESCENDING LEAST TO GREATEST GREATEST TO LEAST USE THE SAME METHOD FOR COMPARING TO ORDER DECIMALS Put these numbers in ASCENDING order: 12.5; 12.24; 11.96; 12.36 12.50 12.24 11.96 12.36 ANSWER: 11.96, 12.24, 12.36, 12.5 PUT IN DESCENDING ORDER: 14.35, 14.3, 14.05, 14.354, 14.39 CLASSWORK: PRACTICE 1-2 AND 1-3 ODDS ONLY HOMEWORK: RETEACHING 1-2 AND 1-3 EVENS ONLY