Topic 1 EnVision Math. Numeration- (Place Value). Unit Objective:. Extend the understanding of place value through millions and millionths in various contexts and representations. GLE 506.2.1. *Start at the back of the math spiral for these problems. Label paper : POD 1-1 (date)
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Unit Objective: Extend the understanding of place value through millions and millionths in various contexts and representations. GLE 506.2.1
*Start at the back of the math spiral for these problems. Label paper: POD 1-1 (date) (show your work/ write your answer here) ________________ Then draw a line Under today’s Answer(s) and you’ll Write tomorrow’s Answers underneath
Place Value Number Sense and Theory Lesson Objective: Read and write numbers from millions to millionths in various contexts. (spi 506.2.1)
Here are the different ways to write a number: • Standard Form: 529 uses only digits • Short Word Form: 5hundred29 uses digits and words • Word Form: five hundredtwenty-nine uses only words • Expanded Form: 500 + 20 + 9 uses digits to show the value of each place
Place Value Read and Write numbers from millions millionths Word Form: 1,045 one thousand forty-five six hundred two 602
Place Value cont. • Write numbers in e x p a n d e d form: 6,097,133 6,000,000 + 90,000 + 7,000 + 100 + 30 + 3 5,014 = 5,000 + 10 + 4
Place Value cont. Short Word Form 83,903 = 83 thousand, 903 7, 062= 7 thousand, 62 Why is there not a 0 in this answer?
Place Value • Identify the place value of a given digit: What place is the 2 in each of these #s ? 6,200,799 484,102 25,361,969 125,007 528
Place Value • Identify the place value of a given digit: What place is the 2 in each of these #s ? 6,200,799 hundred thousands 484,102ones 25,361,969 ten millions 125,007 tenthousands 528tens
Comparing Numbers Compare 9,430,987 and 9,428,987 Step 1: Write the numbers in a vertical list. Line up the numbers by place value. 9,430,987 9,428,987
Comparing Numbers Step 1: Write the numbers in a vertical list. Line up the numbers by place value. 9,430,987 9,428,987 Step 2: If the numbers have the same number of digits, start from the left and compare digits one at a time. **Notice the different digits in the ten thousands place. Since 3 is greater than 2…. 9,430,987 > 9,428,987 greater than
Ordering Numbers Order 19,475; 18,338; and 18,358 from greatest to least Step 1: Write the numbers in a vertical list. Line up the numbers by place value 19,475 18,338 18,358
Ordering Numbers Order 19,475, 18,338, and 18,358 from greatest to least Step 1: Write the numbers in a vertical list. Line up the numbers by place value Step 2: Start from the left and compare each digit 19,475 18,338 18,358
Ordering Numbers Order 19,475, 18,338, and 18,358 from greatest to least Step 1: Write the numbers in a vertical list. Line up the numbers by place value Step 2: Start from the left and compare each digit 19,475 18,338 18,358 From greatest to least: 19,475 > 18,358 > 18,338
Label paper: POD 1-3 (date) **Write answers in a complete sentence.
Starting at the decimal point, • the places are named in the • same order except: • there is not a “ones” place • all names end in “ths” to • signify that it is a decimal ones tens hundreds thousands ten thousands hundred thousands millions (.) decimal tenths hundredths thousandths ten thousandths hundred thousandths millionths
Practice (whole group…on screen) 1.http://www.thatquiz.org/tq/practice.html?placevalue(orally—with volunteers) 2. Write each number in standard form. (on a sheet of paper or in back of spiral under today’s POD) a) 83 thousand 903 b) (9 x 10,000) + (8 x 1,000) + (3 x 100) + (4 x 10) c) four hundred eighty-nine thousand, three hundred forty-one d) (5 x 100,000) + (3 x 1,000) + (7 x 10) e) 48 thousand 16 f) two hundred eight g) sixty-five billion, two million, fourteen thousand, three Answers to a-g are on the next slide….
Practice Answers 2. Write each number in standard form. a) 83,903 b) 98,340 c) 489,341 d) 503,070 e) 48,016 f) 208 g) 65,002,014,003 Stop here…save rest of decimal place value for tomorrow.
Reminder~ • Use your place value chart (in your spiral notebook) to help you with today’s math problems.
How to read and write decimals: Write the following number in word form: 40.318 Step 2 : Write the word “and” and the word name for the #s to the right of the decimal point. forty and three hundred eighteen Step 3: Write the place value name of the final digit after the decimal point. forty and three hundred eighteen thousandths Step 1: Write the word name for the #s to the left of or before the decimal point. forty
Check your answers Practice: try to write the following in word form. 1) 7.4005 seven and four thousand five ten thousandths • 0.28067 twenty-eight thousand sixty-seven hundred thousandths
th h t o . t h How would you write this # in word form? 10 th 100 th th m 0 . 7 2 0 3 8 5 ,
th h t o . t h Seven hundred twenty thousand, three hundred eighty-five millionths 10 th 100 th th m 0 . 7 2 0 3 8 5 ,
th h t o . t h What place is the 4 in ? 0. 00548 10 th 100 th th m . ,
th h t o . t h What place is the 4 in ? 0. 00548 10 th 100 th th m 0 . 0 0 5 4 8 ,
Try to write the following number in standard form: Four and twenty-nine millionths ** Remember: when writing a decimal in standard form, start by placing the decimals in the correct place and then work backwards. Use your chart in your spiral notebook to help you write this number.
Now, try some more practice http://www.thatquiz.org/tq/practice.html?placevalue Note to teacher: Change the level to 6 and change the answers to just decimals. Have the students practice these questions out loud.
