Express the following numbers in standard form
1) 7,777,000,000,000
2) 37485.9
Answers
Step-by-step explanation:
Given :-
1) 7,777,000,000,000
2) 37485.9
To find:-
Express the following numbers in standard form
1) 7,777,000,000,000
2) 37485.9
Solution:-
1) Given number is 7,777,000,000,000
It can be written as
=>7777×1000000000
=>7777× 10^9
On dividing and multiplying by 1000 then
=>7777×10^9 ×(1000/1000)
=>(7777/1000)×10^9×1000
=>7.777×10^9×10^3
we know that
a^m×a^n = a^(m+n)
=>7.777×10^(9+3)
=>7.777×10^12
7,777,000,000,000 = 7.777×10^12
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2) Given number is 37485.9
It can be written as
=>374859/10
On dividing and multiplying by 100000
=>(374859/10)×(100000/100000)
=>(374859×100000)/(100000×10)
=>(3.74859×100000)/(10)
=>3.74859×10^5/10
we know that a^m/a^n = a^(m-n)
=>3.74859×10^(5-1)
=>3.74859×10^4
37485.9 = 3.74859×10^4
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Answer:-
1)7,777,000,000,000 = 7.777×10^12
2)37485.9 = 3.74859×10^4
Used formulae:-
- a^m×a^n = a^(m+n)
- a^m/a^n = a^(m-n)