Sure, let's solve the expression step by step.
We need to evaluate [tex]\( 3.1116 \times 10^{-7} \)[/tex].
1. Understanding Scientific Notation:
- The number [tex]\( 3.1116 \times 10^{-7} \)[/tex] is in scientific notation.
- It consists of a coefficient (3.1116) and a power of ten (10 raised to the power of -7).
2. Interpreting the Exponent:
- The exponent [tex]\( -7 \)[/tex] means we need to move the decimal point 7 places to the left.
So, let's start from the coefficient [tex]\( 3.1116 \)[/tex] and move the decimal point 7 places to the left:
[tex]\( 3.1116 \)[/tex]
Start with the decimal point at its current location:
[tex]\[ 3.1116 \][/tex]
Move it one place to the left:
[tex]\[ 0.31116 \][/tex]
Move it two more places:
[tex]\[ 0.031116 \][/tex]
Another place:
[tex]\[ 0.0031116 \][/tex]
Another:
[tex]\[ 0.00031116 \][/tex]
Another:
[tex]\[ 0.000031116 \][/tex]
Another:
[tex]\[ 0.0000031116 \][/tex]
Finally:
[tex]\[ 0.00000031116 \][/tex]
3. Result:
After moving the decimal point 7 places to the left, we get:
[tex]\[ 0.00000031116 \][/tex]
This can also be expressed as [tex]\( 3.1116 \times 10^{-7} \)[/tex].
Therefore, the value of the given expression [tex]\( 3.1116 \times 10^{-7} \)[/tex] is [tex]\( 0.00000031116 \)[/tex].
In scientific notation, it remains [tex]\( 3.1116 \times 10^{-7} \)[/tex].
