Today we will be learning about PLACE VALUE.

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Presentation transcript:

Today we will be learning about PLACE VALUE. Good Afternoon! Today we will be learning about PLACE VALUE. 1.) What is the number missing on the number line? 50 100 200 250 2.) Which number is the greatest? 45,012 or 45,102 3.) What is the next number in the number pattern? 6, 9, 12, 15, 18, , ..... CONFIDENTIAL

0, 1, 2, 3, 4, 5, 6, 7, 8, ......... Let's get started!! PLACE VALUE WHOLE NUMBER Any of the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, ......... PLACE VALUE Helps you better understand these numbers. CONFIDENTIAL

For example, let's look at the number 423 To determine the VALUE of each DIGIT in a number, we need to look at its PLACE in the number. For example, let's look at the number 423 Hundreds Place Tens Place Ones Place 4 2 3 The value of the 4 is 4 hundreds or 400 The value of the 2 is 2 tens or 20 The value of the 3 is 3 ones or 3 CONFIDENTIAL

There are several ways we can write the number 423 STANDARD FORM: 423 WORD FORM: Four hundred twenty-three EXPANDED FORM: 400 + 20 + 3 CONFIDENTIAL

Look at a larger whole number such as 458,127 We can NAME the number by its digit and its place-value position CONFIDENTIAL

, 458,127 Let's expand our Place-Value Chart 4 5 8 2 7 400,000 100 1 Hundreds Place 4 5 8 1 2 7 Ones Tens Thousands Ten Hundred 400,000 50,000 8,000 100 20 Notice the comma , Our EXPANDED FORM can be written like this: 400,000 + 50,000 + 8,000 + 100 + 20 + 7 CONFIDENTIAL

(Don't use the word "and"......We save that word for decimals!) STANDARD FORM: 458,127 We insert a comma after every 3 digits from right to left. WORD FORM: Four hundred fifty-eight thousand one hundred twenty-seven (Don't use the word "and"......We save that word for decimals!) CONFIDENTIAL

, 609,115 You try one.... EXPANDED FORM: STANDARD FORM: WORD FORM: HUNDREDS TENS ONES HUNDREDS TENS ONES Hundred Thousands Place Ten Thousands Place Thousands Place Hundreds Place Tens Place Ones Place Fill in the numbers , WORD FORM: EXPANDED FORM: CONFIDENTIAL

We can extend our Place-Value Chart to the BILLIONS!! ONES HUNDREDS TENS ONES HUNDREDS TENS ONES HUNDREDS TENS ONES Hundred Millions Millions Ten Thousands Millions Hundred Thousands Thousands Ten Hundreds Billions Tens Ones , , , Let's look at the number 6,987,304,215 Fill in the Place-Value spaces above. Notice the commas. CONFIDENTIAL

, , , We can extend our Place-Value Chart to the BILLIONS!! 6 6 9 9 8 Hundred Millions Millions Ten Billions Millions Hundred Thousands Thousands Ten Thousands Hundreds Ones Tens , , , 6 6 9 9 8 8 7 7 3 3 4 4 2 1 5 Can you write this number in Word Form? CONFIDENTIAL

, , , We can extend our Place-Value Chart to the BILLIONS!! 6 9 8 7 3 Millions Ten Hundred Millions Thousands Ten Billions Millions Hundred Thousands Thousands Hundreds Tens Ones , , , 6 9 8 7 3 4 2 1 5 Can you write this number in Expanded Form? CONFIDENTIAL

We can extend our Place-Value Chart to the BILLIONS!! Can you fill in the appropriate Place-Value names in the pink rectangles? , , , CONFIDENTIAL

, , , Is this how you filled it in? Good Job! Let's take a break. Hundred Millions Millions Ten Millions Hundred Thousands Thousands Ten Billions Thousands Ones Hundreds Tens , , , Good Job! Let's take a break. CONFIDENTIAL

Now let’s do some fun problems. CONFIDENTIAL

1.) Write a 7 digit number that has a 7 in the hundred thousands place, an 8 in the thousands place, and a 2 in the tens place. CONFIDENTIAL

2.) The sum of the digits in the ones place and in the hundreds place is equal to 9. The digit in the ones place is 1 number greater than the digit in the hundreds place. The digit in the tens place is 0. The number only has 3 digits. What is the number???? CONFIDENTIAL

3.) The Texas Almanac states that the population in the state of Texas as of January 2004 was 22,490,022. Can you write this number in word form? CONFIDENTIAL

1.) Write each number in word form. Assessment 1.) Write each number in word form. a.) 50,470 b.) 8,671,400,203 CONFIDENTIAL

2.) Write the place value of the underlined digit. b.) 7,902,451 c.) 56,902,853 CONFIDENTIAL

3.) Given this number 5,980,342,175 which digit is in the a. ten thousands place? b. tens place? c. billions place? CONFIDENTIAL

4.) Write these numbers in expanded form. CONFIDENTIAL

Let's review what we learned today. *PLACE VALUE helps you better understand the WHOLE NUMBERS (0,1,2,3,4,5,6,7,8,9,.....) *To determine the VALUE of each DIGIT in the number, we need to look at its PLACE in the number. CONFIDENTIAL

Notice the commas separating every 3 digits. Here is the Place-Value Chart to the BILLIONS place. Hundred Millions Millions Ten Hundred Thousands Billions Thousands Ten Thousands Ones Millions Hundreds Tens , , , Notice the commas separating every 3 digits. CONFIDENTIAL

We can write numbers in three forms: STANDARD FORM: 358 WORD FORM: three hundred fifty-eight EXPANDED FORM: 300 + 50 + 8 CONFIDENTIAL

You worked very hard today!! Congratulations! You worked very hard today!! CONFIDENTIAL