A silicon chip is 14 nanometers thick. A nanometer is equal to 0.000000001 meter. Express the thickness of the chip using scientific notation.
Answers
Easy mate the thickness of chip will be:-
14×10^-9 meters .
hope it helps.
Answer:
1.4 * 10^(-8}
Step-by-step explanation:
A number in scientific notation is of the form a * 10ᵇ
where a is greater than or equal to 1 but less than 10. The value of b is the number of places the decimal point must be moved to convert the number from standard form to scientific notation. If the decimal point is moved to the right, then b<0, and if the decimal point is moved to the left, then b>0.
For 0.000000001, the decimal point must be moved 9 places to the right to convert it to scientific notation. Therefore 0.000000001=1\times10^{-9}
. 1 nanometer is then 1*10^{-9}
m so 14 nanometers is 14 * 10^{-9} m.
Since 14 is greater than 10, then 14*10^{-9} is not in scientific notation.
Since 14=1.4*10, then,
14×10^{−9} =1.4×10×10^{−9}
=1.4×10^{1+(−9)}
=1.4×10^{−8}
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Substitute 14=1.4×10.
Use the rule x
a
⋅x
b
=x
a+b
.
Simplify the exponent.