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Math 5 Place Value in a Base 10 System

Math 5 Place Value in a Base 10 System. Instructor: Mrs. Tew Turner. In this lesson we will learn about place value for the base 10 system. $5.01. $3.25. Math Warm-up Complete the Table. Use mental math. $2.05. $0.90. Vocabulary

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Math 5 Place Value in a Base 10 System

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  1. Math 5Place Value in a Base 10 System Instructor: Mrs. Tew Turner

  2. In this lesson we will learn about place value for the base 10 system.

  3. $5.01 $3.25 Math Warm-up Complete the Table. Use mental math. $2.05 $0.90

  4. Vocabulary digit – a symbol used to make numerals (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) numerals – a symbol or name that stands for a number (3, 196, and twelve are all numerals)

  5. Vocabulary place – the position of a digit in a number Ex. 486 The numeral 4 is in the hundreds place.

  6. Vocabulary value – product of a digit multiplied by its place (what it is worth) Ex. 486 The numeral 4 represents 4 hundreds. Its value is four hundred.

  7. Vocabulary base 10 – a number system that is made from patterns of tens

  8. How can you read and write large numbers? Let’s use this number as an example: 3, 638, 241

  9. 3, 638, 241 Say: “three million, six hundred thirty-eight thousand, two hundred forty-one”

  10. 3, 638, 241 Expanded: 3,000,000 + 600,000 + 30,000 + 8,000 + 200 + 40 + 1

  11. 3, 638, 241 Write: 3, 638, 241

  12. Let’s practice doing that together for another number. 2,459,038 Say: “two million, four hundred fifty-nine thousand, thirty-eight. Expand: 2,000,000+400,000+50,000+9,000+30+8 Write: 2,459,038

  13. Now it’s your turn. 7,387,246 Say: Expand: 2. 3,250,997 Say: Expand: 3. 7,382,034 Say: Expand:

  14. How did you do? 7,387,246 Say: seven million, three hundred eighty-seven, two hundred forty-six Expand: 7,000,000+300,000+80,000+7,000+ 200+40+6

  15. How did you do? 2. 3,250,997 Say: three million, two hundred fifty thousand, nine hundred ninety-seven Expand: 3,000,000 + 200,000 + 50,000 + 900 + 90 + 7

  16. How did you do? 3. 7,382,034 Say: seven million, three hundred eighty-two thousand, thirty-four Expand: 7,000,000 + 300,000 + 2,000 + 30 + 4

  17. What is this chart called?

  18. Place Value Chart

  19. Notice the comma’s name?

  20. What do the columns represent? this is a column

  21. Each column represents a different number value. this is a column

  22. Make a chart like this in your notebook:

  23. Why would we use a place value chart? We would use a place value chart to help us understand numbers. For example, I may ask you, “What is the place of the digit 4 in 3,467?” You may use the place value chart to help you answer the question.

  24. You would write the number in the place value chart starting with the number at the right. You would write that number in the ones column. Let’s do that together to figure out the answer.

  25. What is the place of the digit 4 in 3,467?

  26. Here is another example I may ask you, “What is the value of the digit 9 in 9,638?” You may use the place value chart to help you answer the question. You would write the number in the place value chart starting with the number at the right. You would write that number in the ones column.

  27. We wrote the number in the chart and discovered that the digit 9 is in the thousands column, or the thousands place.

  28. We know the place of the digit, but what is its value?

  29. We know there are nine in the thousands column, so 9,000 is the value.

  30. I like to think of the value of a digit as what the digit is worth. For example, in the United States of America, the money is measured in dollars. So, if I have 5 ten dollar bills, the worth of the digit 5 is 50 because I would have $50.00(fifty dollars).

  31. Let’s find the value of the digit 5 in 2,453,972. First, write the number in the number chart.

  32. Next, look for the digit 5 on the chart and find the place column of that digit.

  33. Now, find the value of the digit. 5 ten thousands = 50,000 Think: (10,000+10,000+10,000+10,000+10,000)

  34. Let’s find the value of the digit 2 in 275,968. What is the first step?

  35. Now what do we do?

  36. What is the last step?

  37. What place is digit 8 in 9,345,841? What value is digit 8 in that number? What place is digit 6 in 561,428? What is the value of digit 6 in that number? What place is digit 3 in 3,925,976? What is the value of digit 3 in that number?

  38. What place is digit 8 in 9,345,841? hundreds What value is digit 8 in that number? 800 What place is digit 6 in 561,428? Ten thousands What is the value of digit 6 in that number? 60,000 What place is digit 3 in 3,925,976? millions What is the value of digit 3 in that number? 3,000,000

  39. In your Math Notebook Quick Check Write the number in standard form: 1. Six million, two hundred thousand, six 2. 8,000,000 + 300 + 90 + 4 Write the number in expanded form: 3. 7,204,630 4. 1,298,004

  40. Quick Check What is the value of the underlined digit in each number? 5. 48,921 6. 7,587,092 How does each 7 have a different value? Explain your thinking.

  41. Good Work with this lesson. Today you learned how read, write, and say whole numbers to the millions!

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