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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
To rewrite the distance from Earth to the moon, 239,000 miles, 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 express 239,000 as 2.39 multiplied by 100,000 (which is 10^5).

So the correct answer is a) 2.39 x 10^5.
Simplify: 2.18 x 104

a) 0.0000218

b) 0.000218

c) 2,180,000

d) 21,800
To simplify the expression 2.18 x 10^4, we can move the decimal point four places to the right.

So the correct answer is c) 2,180,000.
What does 8.3E−7 represent in a calculator?

a) 0.00000083

b) 0.000000083

c) −8.30000000

d) −83,000,000
The scientific notation 8.3E-7 represents the value 0.00000083.

So the correct answer is a) 0.00000083.