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Understanding Numbers

Understanding Numbers. 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. Meaning the place value is thousands. The number you see (4) is the face value. 4 856.

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Understanding Numbers

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  1. Understanding Numbers

  2. 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

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

  4. 128063245791 THOUSANDS BILLIONS UNITS ones, tens, hundreds MILLIONS

  5. LFHJBGCIAEKD Hundred Billion Hundred Thousand Ten Thousand Ten Billion Thousands Billion Hundred Million Millions Ones Ten Million Hundreds Tens

  6. 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 34 907 521

  7. Try These • 4 560 392 • 305 500 428 • 8 425 022 603 • 90 836 364 210 • 110 300 004 321 • 732 780 000 444 • 904 265 • 193 004

  8. Writing Numbers In Words • When writing numbers in words you write exactly what you say: 409320 199 • Four hundred nine million, three hundred twenty thousand, one hundred ninety-nine

  9. Try These • Two hundred sixty four thousand, five hundred three • Ninety million, sixty-two thousand four • Seven hundred five million, twenty-two • Five hundred sixty-three thousand, four hundred thirteen • Two billion, three hundred million, seven thousand, sixteen

  10. Standard and Expanded Form

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

  12. 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

  13. 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

  14. 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

  15. Expanded Form Using Powers of 10

  16. 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

  17. 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

  18. 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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