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Understanding Numbers

Understanding Numbers. What is a place value Chart?. Why do you think a place Value chart would be Helpful?. Place Value/Face Value. Face value is 4. Each digit in a number has a place value and a face value. In the number 4 856, the digit 4 is in the thousands place value.

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Understanding Numbers

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  1. Understanding Numbers

  2. What is a place value Chart?

  3. Why do you think a place Value chart would be Helpful?

  4. Place Value/Face Value Face value is 4 • Each digit in a number has a place value and a face value. • In the number 4856, the digit 4 is in the thousands place value. • Meaning the place value is thousands. • The number you see (4) is the face value. 4856 Place value is thousands

  5. A place value chart helps us to read and understand large numbers.

  6. 3245791 THOUSANDS UNITS ones, tens, hundreds MILLIONS

  7. Saying Large Numbers • Understand place value helps us say large numbers properly • When saying large numbers you should: • A) start with the largest place value grouping • B) say what you see, then say the grouped place value • C) continue until all number have been read 4 907 521

  8. Try These • 4 560 392 • 5 500 428 • 5 022 603 • 6 364 210 • 4 321 • 444 • 904 265 • 193 004

  9. Writing Numbers In Words • When writing numbers in words you write exactly what you say: 9320 199 • nine million, three hundred twenty thousand, one hundred ninety-nine

  10. Try These • Two hundred sixty four thousand, five hundred three • Nine million, sixty-two thousand four • Five million, twenty-two • Five hundred sixty-three thousand, four hundred thirteen • Two million, seven thousand, sixteen

  11. Standard and Expanded Form

  12. When numbers are presented in numerical digits, it is called the standard form of a number. 4856 Standard Form

  13. Numbers can also be represented in expanded form. • This means writing the value of a number using the face value and place value of each digit. • The number 4856 in expanded form is: Method a) 4000 + 800 + 50 + 6 Method b) 4 x 1000 + 8 x 100 + 5 x 10 + 6 x 1

  14. Try These • 3982 • 23 508 • 60 000 + 2000 + 900 + 40 + 5 • 800 000 + 50 000 + 300 + 60 + 4 • 3 x 100 000 + 7 x 10 000 + 2 x 1000 + 8 x 100 + 4 x 10 + 5 x 1 • 6 x 100 000 + 2 x 1000 + 8 x 100 + 5 x 10 + 6 x 1

  15. Try These • 30 + 5000 + 300 000 + 200 + 4 • 200 000 + 900 + 4000 + 3 + 10 000 • 6000 + 20 000 + 900 + 400 000 + 5 • 800 000 + 5000 + 3 + 60 + 400 • 3 x 1000 + 7 x 100 000 + 2 x 100 + 8 x 10 000 + 4 x 1 + 5 x 10 • 6 x 10 000 + 2 x 100 000 + 8 x 1000 + 5 x 1 + 6 x 100

  16. Expanded Form Using Powers of 10

  17. Expanded Notation Using Powers of 10 • Numbers can also be written in expanded form using powers of 10 • We will call this expanded form Method C • Knowing Method A and B makes method C easy

  18. The number 4856 in expanded form is: Method a) 4000 + 800 + 50 + 6 Method b) 4 x 1000 + 8 x 100 + 5 x 10 + 6 x 1 Method c) 4 x 103 + 8 x 102+ 5 x 101+ 6 x 100

  19. Try These • 32 906 • 53 800 • 40 641 • 7 x 103 + 2 x 102 + 5 x 101 + 3 x 100 • 9 x 105 + 8 x 103 + 7 x 102 + 6 x 101 • 5 x 106 + 2 x 104 + 9 x 103 + 6 x 100

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