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Tutorial

    The average number of passengers who use
    a certain airport each year is 350 thousand.
    A newspaper reported the number as 350
    million. The number reported in the
    newspaper was how many times the actual
    number?

    (A)   10
    (B)   100
    (C)   1,000
    (D)   10,000



Place Value
Tutorial

    The average number of passengers who use a certain airport each year is 350 thousand. A newspaper
    reported the number as 350 million. The number reported in the newspaper was how many times the
    actual number?
    (A) 10
    (B) 100
    (C) 1,000
    (D) 10,000




      The fundamental idea behind our base-ten
      numeration system is place value. That is, a
      number is written to show the value of each
      place.




Place Value
Tutorial


   The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
   number as 350 million. The number reported in the newspaper was how many times the actual number?
   (A) 10
   (B) 100
   (C) 1,000
   (D) 10,000


 Associated with each place value is a
     •position name;


                                                  POWER OF
     •decimal form; and


                                                             108

                                                                           107

                                                                                        106

                                                                                                    105

                                                                                                                        104

                                                                                                                                           103

                                                                                                                                                             102

                                                                                                                                                                        101

                                                                                                                                                                               100
                                                  TEN


                                                             100,000,000
     •power of ten.
                                                  DECIMAL




                                                                           10,000,000


                                                                                        1,000,000


                                                                                                              100,000
                                                  FORM




                                                                                                                                  10,000


                                                                                                                                           THOUSANDS 1,000


                                                                                                                                                             100


                                                                                                                                                                        10


                                                                                                                                                                               1
                                                                                                    THOUSANDS


                                                                                                                        THOUSANDS




                                                                                                                                                             HUNDREDS
                                                                                                    HUNDRED
                                                             HUNDRED
                                                             MILLIONS


                                                                           MILLIONS

                                                                                        MILLIONS
                                                  POSITION
                                                  NAME




                                                                                                                                                                               ONES
                                                                                                                                                                        TENS
                                                                           TEN




                                                                                                                        TEN
Place Value
Tutorial


   The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
   number as 350 million. The number reported in the newspaper was how many times the actual number?
   (A) 10
   (B) 100
   (C) 1,000
   (D) 10,000


 Recall, to move from one place value to a
 higher place value you multiply by the
 appropriate number of 10s.




                                                                                            THOUSANDS


                                                                                                        THOUSANDS

                                                                                                                    THOUSANDS


                                                                                                                                HUNDREDS
                                                                                            HUNDRED
                                                           HUNDRED
                                                           MILLIONS


                                                                      MILLIONS

                                                                                 MILLIONS
                                             POSITION
                                             NAME




                                                                                                                                                  ONES
                                                                                                                                           TENS
                                                                      TEN




                                                                                                        TEN
                                                                                                                10 X 10 X 10 X 10


Place Value
Tutorial


   The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
   number as 350 million. The number reported in the newspaper was how many times the actual number?
   (A) 10
   (B) 100
   (C) 1,000
   (D) 10,000



 That is, to go from 5,000 to 5,000,000 (a total
 of three place values), you multiply 5,000 by
 10x10x10 = 103 = 1,000




                                                                                              THOUSANDS


                                                                                                          THOUSANDS

                                                                                                                      THOUSANDS
Multiplying by powers of




                                                                                                                                  HUNDREDS
                                                                                              HUNDRED
                                                           HUNDRED
                                                           MILLIONS


                                                                      MILLIONS

                                                                                 MILLIONS
                                             POSITION




10 moves the decimal
                                             NAME




                                                                                                                                                    ONES
                                                                                                                                             TENS
                                                                      TEN




                                                                                                          TEN
point that many place
                                                                                   5          0           0            0
                                                                                                                       5          0           0     0
values to the right.

                                                                                            10 X 10 X 10 X 5000


Place Value
Tutorial


   The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
   number as 350 million. The number reported in the newspaper was how many times the actual number?
   (A) 10
   (B) 100
   (C) 1,000
   (D) 10,000



 Returning to the original problem, lets transform
 each number from its position name to its decimal
 form.


350 thousand =                      350,000

   350 million = 350,000,000



Place Value
Tutorial


   The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
   number as 350 million. The number reported in the newspaper was how many times the actual number?
   (A) 10
   (B) 100
   (C) 1,000
   (D) 10,000



 Returning to the original problem, lets transform
 each number from its position name to its decimal
 form.




                                                                                                  THOUSANDS


                                                                                                              THOUSANDS

                                                                                                                          THOUSANDS


                                                                                                                                      HUNDREDS
                                                                                                  HUNDRED
                                                                 HUNDRED
                                                                 MILLIONS


                                                                            MILLIONS

                                                                                       MILLIONS
                                                      POSITION
                                                      NAME




                                                                                                                                                        ONES
                                                                                                                                                 TENS
                                                                            TEN




                                                                                                              TEN
350 thousand =                      350,000                                                         3          5               0        0          0    0

   350 million = 350,000,000                                      3           5          0          0          0               0        0          0    0




Place Value
Tutorial


   The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
   number as 350 million. The number reported in the newspaper was how many times the actual number?
   (A) 10
   (B) 100
   (C) 1,000
   (D) 10,000



 Looking at the decimal form of the numbers, we
 can see that we move the decimal point from 350
 thousand three places right to equal 350 million.




                                                                                                  THOUSANDS


                                                                                                              THOUSANDS

                                                                                                                          THOUSANDS


                                                                                                                                      HUNDREDS
                                                                                                  HUNDRED
                                                                 HUNDRED
                                                                 MILLIONS


                                                                            MILLIONS

                                                                                       MILLIONS
                                                      POSITION
                                                      NAME




                                                                                                                                                        ONES
                                                                                                                                                 TENS
                                                                            TEN




                                                                                                              TEN
350 thousand =                      350,000                                                         3          5               0        0          0    0

   350 million = 350,000,000                                      3           5          0          0          0               0        0          0    0




Place Value
Tutorial


   The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the
   number as 350 million. The number reported in the newspaper was how many times the actual number?
   (A) 10
   (B) 100
   (C) 1,000
   (D) 10,000



 Since we see that 103 moves the decimal point
 three spots right, 350 thousand must be
 multiplied by 1,000 to equal 350 million.




                                                                                                   THOUSANDS


                                                                                                               THOUSANDS

                                                                                                                           THOUSANDS


                                                                                                                                       HUNDREDS
                                                                                                   HUNDRED
                                                                 HUNDRED
                                                                 MILLIONS


                                                                             MILLIONS

                                                                                        MILLIONS
                                                      POSITION
                                                      NAME




                                                                                                                                                         ONES
                                                                                                                                                  TENS
                                                                             TEN




                                                                                                               TEN
                                                                                                     3          5               0        0          0    0

                                                                  3            5          0          0          0               0        0          0    0

                                                                            10X10X10 = 1,000


Place Value
Tutorial


   The average number of passengers who use a
   certain airport each year is 350 thousand. A
   newspaper reported the number as 350 million.
   The number reported in the newspaper was how
   many times the actual number?

   (A)   10         We can check our answer by
                    doing the following calculation
   (B)   100
   (C)   1,000      350,000 X 1,000 = 350,000,000
   (D)   10,000
                    This calculation verifies that
                    (C) 1,000 is the correct answer.


Place Value

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Placevalue tutorial(2)

  • 1. Tutorial The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the number as 350 million. The number reported in the newspaper was how many times the actual number? (A) 10 (B) 100 (C) 1,000 (D) 10,000 Place Value
  • 2. Tutorial The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the number as 350 million. The number reported in the newspaper was how many times the actual number? (A) 10 (B) 100 (C) 1,000 (D) 10,000 The fundamental idea behind our base-ten numeration system is place value. That is, a number is written to show the value of each place. Place Value
  • 3. Tutorial The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the number as 350 million. The number reported in the newspaper was how many times the actual number? (A) 10 (B) 100 (C) 1,000 (D) 10,000 Associated with each place value is a •position name; POWER OF •decimal form; and 108 107 106 105 104 103 102 101 100 TEN 100,000,000 •power of ten. DECIMAL 10,000,000 1,000,000 100,000 FORM 10,000 THOUSANDS 1,000 100 10 1 THOUSANDS THOUSANDS HUNDREDS HUNDRED HUNDRED MILLIONS MILLIONS MILLIONS POSITION NAME ONES TENS TEN TEN Place Value
  • 4. Tutorial The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the number as 350 million. The number reported in the newspaper was how many times the actual number? (A) 10 (B) 100 (C) 1,000 (D) 10,000 Recall, to move from one place value to a higher place value you multiply by the appropriate number of 10s. THOUSANDS THOUSANDS THOUSANDS HUNDREDS HUNDRED HUNDRED MILLIONS MILLIONS MILLIONS POSITION NAME ONES TENS TEN TEN 10 X 10 X 10 X 10 Place Value
  • 5. Tutorial The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the number as 350 million. The number reported in the newspaper was how many times the actual number? (A) 10 (B) 100 (C) 1,000 (D) 10,000 That is, to go from 5,000 to 5,000,000 (a total of three place values), you multiply 5,000 by 10x10x10 = 103 = 1,000 THOUSANDS THOUSANDS THOUSANDS Multiplying by powers of HUNDREDS HUNDRED HUNDRED MILLIONS MILLIONS MILLIONS POSITION 10 moves the decimal NAME ONES TENS TEN TEN point that many place 5 0 0 0 5 0 0 0 values to the right. 10 X 10 X 10 X 5000 Place Value
  • 6. Tutorial The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the number as 350 million. The number reported in the newspaper was how many times the actual number? (A) 10 (B) 100 (C) 1,000 (D) 10,000 Returning to the original problem, lets transform each number from its position name to its decimal form. 350 thousand = 350,000 350 million = 350,000,000 Place Value
  • 7. Tutorial The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the number as 350 million. The number reported in the newspaper was how many times the actual number? (A) 10 (B) 100 (C) 1,000 (D) 10,000 Returning to the original problem, lets transform each number from its position name to its decimal form. THOUSANDS THOUSANDS THOUSANDS HUNDREDS HUNDRED HUNDRED MILLIONS MILLIONS MILLIONS POSITION NAME ONES TENS TEN TEN 350 thousand = 350,000 3 5 0 0 0 0 350 million = 350,000,000 3 5 0 0 0 0 0 0 0 Place Value
  • 8. Tutorial The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the number as 350 million. The number reported in the newspaper was how many times the actual number? (A) 10 (B) 100 (C) 1,000 (D) 10,000 Looking at the decimal form of the numbers, we can see that we move the decimal point from 350 thousand three places right to equal 350 million. THOUSANDS THOUSANDS THOUSANDS HUNDREDS HUNDRED HUNDRED MILLIONS MILLIONS MILLIONS POSITION NAME ONES TENS TEN TEN 350 thousand = 350,000 3 5 0 0 0 0 350 million = 350,000,000 3 5 0 0 0 0 0 0 0 Place Value
  • 9. Tutorial The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the number as 350 million. The number reported in the newspaper was how many times the actual number? (A) 10 (B) 100 (C) 1,000 (D) 10,000 Since we see that 103 moves the decimal point three spots right, 350 thousand must be multiplied by 1,000 to equal 350 million. THOUSANDS THOUSANDS THOUSANDS HUNDREDS HUNDRED HUNDRED MILLIONS MILLIONS MILLIONS POSITION NAME ONES TENS TEN TEN 3 5 0 0 0 0 3 5 0 0 0 0 0 0 0 10X10X10 = 1,000 Place Value
  • 10. Tutorial The average number of passengers who use a certain airport each year is 350 thousand. A newspaper reported the number as 350 million. The number reported in the newspaper was how many times the actual number? (A) 10 We can check our answer by doing the following calculation (B) 100 (C) 1,000 350,000 X 1,000 = 350,000,000 (D) 10,000 This calculation verifies that (C) 1,000 is the correct answer. Place Value