Slide1: Copyrighted 2012 by Elizabeth Hill LEARNING PLACE VALUE
Slide2: Look at each of the numbers below and see if you can find the single numbers that are in all of them. 2,349 5,671 80 459 1,346,708 Hint: There are 10. Copyrighted 2012 by Elizabeth Hill
Slide3: What are the 10 numbers that are found in each number? Don ’ t repeat any. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 These DIGITS make up all numbers . Copyrighted 2012 by Elizabeth Hill
Slide4: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 What is the smallest number? What is the largest number? Copyrighted 2012 by Elizabeth Hill
Slide5: So what is the difference between this… And this… Copyrighted 2012 by Elizabeth Hill
The difference is place value!: The difference is place value! Ones Place Hundreds Place Copyrighted 2012 by Elizabeth Hill
Slide7: Place is where a digit sits in a number. Digit is any number 0-9. Value is how much a digit is worth because of the place it is in. Place Value Copyrighted 2012 by Elizabeth Hill
Slide8: Let ’ s Make Some Numbers What number is this? 2 4 3 Copyrighted 2012 by Elizabeth Hill
Slide9: Let ’ s Make Another Number What number is this? 6 3 5 2, Copyrighted 2012 by Elizabeth Hill
Slide10: Let ’ s Make Another Number What number is this? 1 5 0 7, Copyrighted 2012 by Elizabeth Hill
Slide11: Ones Tens Hundreds What are the names of the places in a number? Thousands ? Copyrighted 2012 by Elizabeth Hill
Slide12: Ones, tens, hundreds, Thousands, ten thousands, Hundred thousands, millions, That is place value! Here is a song to help you remember. Copyrighted 2012 by Elizabeth Hill
Slide13: Places in a Number (Going from left to right) Ones Tens Hundreds Thousands Ten Thousands Hundred Thousands Millions Copyrighted 2012 by Elizabeth Hill
Slide14: Can you LABEL the place value chart? Copyrighted 2012 by Elizabeth Hill
Slide15: Copyrighted 2012 by Elizabeth Hill Can you LABEL the place value chart? Millions Hundred Thousands Ten- Thousands Thousands Hundreds Tens Ones Ones Period Thousands Period Millions Period
Slide16: Copyrighted 2012 by Elizabeth Hill Let ’ s make some really big numbers! Use your charts and disks to make this number. Millions Hundred Thousands Ten- Thousands Thousands Hundreds Tens Ones Millions Period Thousands Period Ones Period What number is this?
Slide17: Copyrighted 2012 by Elizabeth Hill Let ’ s make some really big numbers! Use your charts and disks to make this number. Millions Hundred Thousands Ten- Thousands Thousands Hundreds Tens Ones Millions Period Thousands Period Ones Period What number is this?
Slide18: Can you put 451 on the chart in the correct places? 1 5 4 Copyrighted 2012 by Elizabeth Hill Millions Hundred Thousands Ten- Thousands Thousands Hundreds Tens Ones 1 5 6 , ,
Slide19: Can you put 9,473 on the chart correctly? Copyrighted 2012 by Elizabeth Hill Millions Hundred Thousands Ten- Thousands Thousands Hundreds Tens Ones 4 3 7 9 , , ,
Slide20: Can you put 8,205 on the chart correctly? 5 0 2 8, Copyrighted 2012 by Elizabeth Hill Can you put 32,498 on the chart correctly? Millions Hundred Thousands Ten- Thousands Thousands Hundreds Tens Ones 4 9 8 2 3 , , ,
Slide21: Copyrighted 2012 by Elizabeth Hill CHALLENGE: Can you put 3,581,794 on the chart correctly? Millions Hundred Thousands Ten- Thousands Thousands Hundreds Tens Ones 3 5 8 1 7 9 4 , , , ,
Slide22: 387 Think about the song. Ones Tens Hundreds Copyrighted 2012 by Elizabeth Hill Can you identify the places without a chart?
Slide23: Try Another One! 24,821 Think about the song. Ones Tens Hundreds Thousands Ten Thousands Copyrighted 2012 by Elizabeth Hill
Slide24: Tricky, Tricky! 129,357 Think about the song. Ones Tens Hundreds Thousands Ten Thousands Copyrighted 2012 by Elizabeth Hill Hundred Thousands
Slide25: Try this even bigger number! 8,465,023 Think about the song. Ones Tens Hundreds Thousands Copyrighted 2012 by Elizabeth Hill Ten-Thousands Hundred Thousands Millions
Slide26: Place is where a digit sits in a number. Digit is any number 0-9. Value is how much a digit is worth because of the place it is in. Place Value Review Copyrighted 2012 by Elizabeth Hill
So how do we find the value of digits in numbers?: So how do we find the value of digits in numbers? Copyrighted 2012 by Elizabeth Hill
Slide28: Let ’ s Make Some Numbers Using the Place Value Mat What number is this? 2 4 3 Now how much is each digit worth? 2 40 300 Copyrighted 2012 by Elizabeth Hill
Slide29: Let ’ s Find Some Values What number is this? 6 3 5 2, Now how much is each digit worth? 6 30 500 2,000 Copyrighted 2012 by Elizabeth Hill
Slide30: Can you put 9,473 on the chart correctly? 3 7 4 9, 3 70 400 9,000 Copyrighted 2012 by Elizabeth Hill
Slide31: Can you put 4,029 on the chart correctly? 9 2 0 4, 9 20 0 4,000 Copyrighted 2012 by Elizabeth Hill
Slide32: Try This with Your Partner 47,906 Think about the song. Ones Tens Hundreds Thousands Ten Thousands What is the value of each digit? 40,000 7,000 900 6 Can you identify what place each digit is in? Copyrighted 2012 by Elizabeth Hill
Slide33: Copyrighted 2012 by Elizabeth Hill Try This with Your Partner 126,498 Can you identify what place each digit is in? Ones Tens Hundreds Thousands Ten Thousands Hundred Thousands Think about the song. 100,000 20,000 6,000 400 90 8
How good are you?: How good are you? Which digit is in the ten-thousands place in the number 31,467? 3 1 7 4 Copyrighted 2012 by Elizabeth Hill
How good are you?: How good are you? Which digit is in the thousands place in the numeral 5,427? 7 5 4 2 Copyrighted 2012 by Elizabeth Hill
How good are you?: How good are you? What is the place value of the underlined digit in the number 7, 5 48? Ones Billions Ten-thousands Hundreds Copyrighted 2012 by Elizabeth Hill
How good are you?: How good are you? What is the place value of the underlined digit in the number 1 2,098? Tens Thousands Ten-thousands Hundreds Copyrighted 2012 by Elizabeth Hill
How good are you?: How good are you? What is the value of the underlined digit in the numeral 6,6 8 4? 8,000 10 800 80 Copyrighted 2012 by Elizabeth Hill
How good are you?: How good are you? What is the value of the underlined digit in the number 535,85 2 ? 20 1 2 200 Copyrighted 2012 by Elizabeth Hill
How good are you?: How good are you? What is the value of the underlined digit in the number 5 3 5,852? 30 10,000 3,000 30,000 Copyrighted 2012 by Elizabeth Hill
How good are you?: How good are you? What is the place value of the underlined digit in the number 2, 7 62,459? tens ten thousands hundred thousands millions Copyrighted 2012 by Elizabeth Hill
How good are you?: How good are you? What is the place value of the underlined digit in the number 24 9 ,830? millions thousands hundred thousands ones Copyrighted 2012 by Elizabeth Hill
Slide43: Copyrighted 2012 by Elizabeth Hill How good are you? What is the value of the underlined digit in the number 6 38,372? 60 60,000 600,000 6,000,000
Investigating Powers of 10: Investigating Powers of 10 Copyrighted 2012 by Elizabeth Hill
Slide45: © 2012 Elizabeth Hill How does the value of a digit change as it moves up on the place value chart? I f I put a 5 in the ones place and then move it to the hundreds place, how has the value of the 5 changed? What happens if I move the 5 from the ones place to the hundreds place? Thousands Hundreds Tens Ones 5 5 5
Today, you will learn about digits and their place value by using base ten blocks and a place value chart. : Today, you will learn about digits and their place value by using base ten blocks and a place value chart. Copyrighted 2012 by Elizabeth Hill Let ’ s review our Base Ten System TENS THOUSANDS HUNDREDS ONES
Slide47: Copyrighted 2012 by Elizabeth Hill ONES THOUSAND TENS HUNDREDS 10 x 1 10 x 10 10 x 100
Slide48: Copyrighted 2012 by Elizabeth Hill Let ’ s investigate powers of 10! Line up 4 unit blocks on your desk. What is the value of 4 unit blocks? Let ’ s INCREASE the number 4 ten times. What new number did we create? We now have the number 40. 40 is 10 times greater than 4. To make 40 we added a zero.
Slide49: Copyrighted 2012 by Elizabeth Hill Let ’ s increase 40 tens times using your base ten blocks. What number do I make if I increase 40 ten times? We now have 400. The number 400 is ten times bigger than 40 and I added another zero.
Slide50: Copyrighted 2012 by Elizabeth Hill Let ’ s look at this on our place value chart with the number 1. X 10 1 X 10 = 10 Millions, Hundred-Thousands Ten – Thousands Thousands, Hundreds Tens Ones 1
Slide51: Copyrighted 2012 by Elizabeth Hill X 10 10 X 10 = 100 Millions, Hundred-Thousands Ten – Thousands Thousands, Hundreds Tens Ones 1 Now let ’ s make our 1 ten times greater. What would I need to do to the 1 to make it ten times greater? =
Slide52: Copyrighted 2012 by Elizabeth Hill Now I want to make my 100 in the hundreds place ten times greater. How would I do that using my hundreds flat?? Each flat is worth 100. 10 groups of 100 equals 1,000. 10 x 100 = 1,000.
Slide53: Copyrighted 2012 by Elizabeth Hill 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 1,000 X 10 = 10,000 How can we build 10,000 ??
Slide54: Copyrighted 2012 by Elizabeth Hill If we look at building 10,000 on our place value chart it would look like this: Millions, Hundred-Thousands Ten – Thousands Thousands, Hundreds Tens Ones 10 one thousands will make 10,000 What if I wanted to build 100,000? Let ’ s think about it! X 10 X 10
Slide55: Copyrighted 2012 by Elizabeth Hill Using what you just learned about place value and the place value chart, discuss with your partner how we can build 1,000,000? Millions, Hundred-Thousands Ten – Thousands Thousands, Hundreds Tens Ones HINT: Think about what you did to move to each place value as you moved to the next greater place. To build 1,000,000, I need 10 groups of 100,000 so I would multiply 100,000 X 10.
Slide56: Copyrighted 2012 by Elizabeth Hill You may wonder…… HOW MUCH IS A MILLION??? 10 X 1 = 10 10 x 10 = 100 100 x 10 = 1,000 1,000 x 10 = 10,000 10,000 x 10 = 100,000 100,000 x 10 = 1,000,000 You may notice that as we built our number each time, we added on a ZERO and when we added on a ZERO our number got 10 TIMES GREATER! What did you notice each time we made a number?
Slide57: Copyrighted 2012 by Elizabeth Hill Millions, Hundred-Thousands Ten – Thousands Thousands, Hundreds Tens Ones Let ’ s think about this on our place value chart. Place 5 ones in the ones column of your chart. What is the value of the 5 in the ones column? Let ’ s discuss what would happen if I move my 5 up each place on the place value chart. Does the value stay the same? What happens to the value of the 5 as I move to the next place?
Slide58: Copyrighted 2012 by Elizabeth Hill Let ’ s look at it this way: 5 x 1 = 5 5 x 10 = 50 50 x 10 = 500 500 x 10 = 5,000 5,000 x 10 = 50,000 50,000 x 10 = 500,000 500,000 x 10 = 5,000,000 REMEMBER: Each number gets bigger or increases as it moves to the left of the place value chart. The number gets 10 TIMES GREATER!
Slide59: Copyrighted 2012 by Elizabeth Hill IT ’ S TIME TO PRACTICE!!!! WRITE THE NUMBER 7,889 ON YOUR PLACE VALUE CHART. Millions, Hundred-Thousands Ten – Thousands Thousands, Hundreds Tens Ones 7 7 8 9 IT SHOULD LOOK LIKE THIS: HOW DOES THE VALUE OF THE 7 CHANGE?