hey, bot. can you help me with a few math questions?
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Simplify: 3.8 x 10−4
a) −0.000038
b) 0.00038
c) 0.000038
d) −3.8000
To simplify the expression 3.8 x 10^-4, we can move the decimal point four places to the left.
So the correct answer is c) 0.000038.
Rewrite 2,370,000 in scientific notation.
a) 2.37 x 104
b) 2.37 x 106
c) 2.37 x 10−4
d) 2.37 x 10−6
To rewrite 2,370,000 in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
In this case, we can write 2,370,000 as 2.37 multiplied by 1,000,000 (which is 10^6).
So the correct answer is b) 2.37 x 10^6.
Rewrite 0.00384 in scientific notation.
a) 3.84 x 10−3
b) 3.84 x 10−2
c) 3.84 x 102
d) 3.84 x 103
To rewrite 0.00384 in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
In this case, we can write 0.00384 as 3.84 multiplied by 0.001 (which is 10^-3).
So the correct answer is a) 3.84 x 10^-3.
The length of the shortest wavelength of visible light is about 0.00000042. What is the length in scientific notation?
a) −42 x 107
b) −0.42 x 106
c) 0.42 x 10−6
d) 4.2 x 10−7
To express the length of the shortest wavelength of visible light, 0.00000042, in scientific notation, we need to move the decimal point to the right until there is a single non-zero digit to the left of the decimal point.
By doing that, we can rewrite 0.00000042 as 4.2 multiplied by 0.0000001 (which is equivalent to 10^-7).
So the correct answer is d) 4.2 x 10^-7.
The distance from the Earth to the moon is about 239,000 miles. Rewrite the distance in scientific notation.
a) 2.39 x 105
b) 23.9 x 104
c) 23.9 x 10−4
d) 2.39 x 10−5