Answer:
[tex]M = a \times 10^7[/tex] where 1 < a ≤ 9
The EXPONENT USED BY PETER is 7 in all the possible cases.
Step-by-step explanation:
Let us assume the needed number is M.
Also, given:
The needed number is GREATER than 10 Million.
⇒ M > 10 Million
⇒ M > 10,000,000
⇒ M > [tex]1 \times 10^7[/tex] ...... (1)
The needed number is SMALLER than 100 Million.
⇒ M < 100 Million
⇒ M < 100,000,000
⇒ M < [tex]1 \times 10^8[/tex] ...... (2)
Comparing (1) and (2) we can see that M can have more than 7 zeroes after 1 but LESS than 8 zeroes after 1.
So, the possible values of M can be:
[tex]M = a \times 10^7[/tex] where 1 < a ≤ 9
So, the EXPONENT USED BY PETER is 7 in all the possible cases.