Respuesta :
we know that
[tex] 1 billion=1,000,000,000 [/tex]
In scientific notation
[tex] 1,000,000,000=1*10^{9} [/tex]
To find the value of [tex] 31 billion [/tex]
Multiply the value of one billion for [tex] 31 [/tex]
so
[tex] 31*1*10^{9} =31*10^{9}\\ =3.1*10^{10} [/tex]
therefore
the answer is
[tex] 3.1*10^{10} [/tex]
The scientific notation of [tex]31 \text{billion}[/tex] is [tex]\boxed{3.1 \times \left( {{{10}^{10}}} \right)}[/tex].
Further explanation:
Scientific notation is also called as the standard form of writing a number.
The number has two parts in the scientific notation.
First part is digits or digit with decimal and the second part is 10 to the power.
If the number is greater than 10, move the decimal point to the left.
If the number is less than 10, move the decimal point to the right.
Calculation:
One billion is equal to [tex]1000000000[/tex].
In scientific notation one million can be expressed as,
[tex]\boxed{{\text{1}}\,{\text{billion}} = {10^9}}[/tex]
Thirty one billion is equal to [tex]31000000000[/tex].
Now find the scientific notation SN of 31 billion.
[tex]\begin{aligned}\text{SN} &= 31000000000 \\&= 31 \times \left( {{{10}^9}} \right) \\&= 3.1 \times \left( {{{10}^{10}}} \right) \\ \end{aligned}[/tex]
The first part of the scientific notation is [tex]\boxed{3.1}[/tex].
The second part of the scientific notation is [tex]\boxed{{10^{10}}}[/tex].
Hence, the scientific notation of [tex]31 \text{billion}[/tex] is [tex]\boxed{3.1 \times \left( {{{10}^{10}}} \right)}[/tex].
Learn more:
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Scientific notation
Keywords: scientific notation, one billion, thirty one billion, million, standard form, first part of scientific notation, second part of scientific notation, power.