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2 August, 12:19

Joseph says that in the number 9,999,999 all the digits have the same value. I'd Joseph correct? Explain Part B Describe the relationship between the value of the digits in the number

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  1. 2 August, 12:22
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    Joseph is not correct

    Each digit from the leftmost digit is ten times the digit before it

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - Any number formed from some digits, each digit has a place value

    - Ex: 2,345 this number formed from 4 digits

    The place value of 5 is ones ⇒ 5

    The place value of 4 is tens ⇒ 40

    The place value of 3 is hundreds ⇒ 300

    The place value of 2 is thousands ⇒ 2,000

    2,345 = 2,000 + 300 + 40 + 5

    * Lets check our problem

    ∵ The number is 9,999,999

    - The number formed from 7 digits, the digits have different places value

    ∴ They couldn't have the same value

    ∴ Joseph is not correct

    ∵ The number formed from 7 digits

    - The place value of the leftmost digit is millions

    - The place value of the digit before the million is hundred thousands

    - The place value of the digit before the hundred thousands is

    ten thousands

    - The place value of the digit ten thousands is thousands

    - The place value of the digit before thousands is hundreds

    - The place value of the digit before hundreds is tens

    - The place value of the digit before tens is ones

    ∴ 9,999,999 = 9,000,000 + 900,000 + 90,000 + 9,000 + 900

    + 90 + 9

    ∴ Each digit from the leftmost digit is ten times the digit before it
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