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 Understanding Whole Numbers Lessons 1-1 to 1-2.

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1  Understanding Whole Numbers Lessons 1-1 to 1-2

2 standard form – a number is written using digits and place value (the regular way to write numbers). expanded form – a number is written as a sum using the place and value of each digit. word form – a number is written in words as you would read it in standard form. (Example: 53,482) (Example: fifty thousand + three thousand + four hundred + eighty + two) (Example: fifty-three thousand, four hundred eighty-two) Vocabulary Forms

3 Place Value Chart

4 How To Read a Large Number Numbers are grouped in sets of three (each set is called a period). Only read three numbers at a time. Say the name of the period that the numbers are in. Say “and” for the decimal, but do not say “and” if there isn’t a decimal.

5 Example 4,658,089 Millions periodThousands periodOnes period Four million, six hundred fifty-eight thousand, eighty-nine.

6 Period family Thous family Mills family Bills family

7 Number Lines Numbers towards the right on a number line are larger. As you move to the left on a number line, the numbers get smaller. What’s Bigger? 1 or -2? 1 is larger because it is to the right of the -2. What numbers are smaller than -2? -3 and -4 are both smaller than -2 because they are to the left of -2.

8 Comparing Numbers Line the numbers up vertically (up and down) by the ones place. Start at the left and compare the digits. Move towards the right until you find a difference.

9 Just a Reminder… < means “less than.” (Hint: the point points to the small number) > means “greater than.” (Hint: the open side points to the larger number) = means “equal to.”

10 Example 45,312 45,321 45,312 45,321 1 is less than 2 <

11 Example 2 – Put the numbers in order from least to greatest. 321; 345; 354; 29; 1,013; 312; 332 1. 2. 3. 4. 5. 6. 7. 321 345 29 354 1013 312 332 smallest 29 largest 1,013 312 321 332 345 354

12  Reading and Writing Decimals Lesson 1-2 “AND”“ths”

13 Reading Decimals  Read the number before the decimal point.  Say “AND” when you get to the decimal.  Read the number after the decimal.  Say the name of the place that the decimal ends in.

14  Place Value With Decimals

15 Example 8,243.67 Eight thousand, two hundred forty-three andsixty-sevenhundredths Try This: 9,532.41 480. 123 37.06

16 Expanded Form  Write the number that appears before the decimal.  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.

17 Example: Write 13.361 in expanded form. Remember, deal with the number before the decimal first. Then, do the decimal part. 0.060.3+ 10 + 3 ++0.001 Try This: Write 429.715 in expanded form. Answer: 400 + 20 + 9. 7 + 01 +.005

18 From Words to Standard Form Read everything that comes before the word “and.” Write that number down. Place a decimal point at the word “and.” Read the last word of the sentence to see how many decimal places you need. Fill in the decimal places with your number. Fill in as far to the right as possible, and use zeroes to fill any empty spaces.

19 Example: Write the following number in standard form: Two hundred six and fifty-four ten-thousandths 206. The word “ten-thousandths” indicates that we need four decimal places. __ __ 5 4 0 When we clean it up, the answer is 206.0054

20 Classwork  Go to this site that will help you Read and Write Whole Numbers  Whats your Name? Whats your Name?  Try this site to read and write Decimals:  Rags To Riches Rags To Riches

21 HOMEWORK  Homework: Textbook pg. 10-12, #2-40 Evens o Bonus 2pts: Stretch Your Thinking Commonly Misspelled Numbers : hundred thousand eight forty ninety


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