1. The length of a micrometer is approximately 0.00003937 inch. How would you express this in scientific notation?

A. 0.3937 * 10^-4 **
B. 3.937 * 10^-5
C. 39.37 * 10^-6
D. 3937 * 10^-8

2.Write each number in either scientific notation or standard notation.
a- The diameter of Mercury is 4879 kilometers.
b- The distance from Saturn to the Sun at its closest point is about 8.4044 * 10^8 miles.
c- The diameter of a platelet is about 3 * 10^-6 meter.

My Answers:
a- 4.879 * 10^3 = 4,879
b- 84,044
c- 3,000,000

I need help,
thanks

a. agree

b. 10^8 means you shift the decimal point to the right 8 places. The value is much larger.
c. 10^-6 means you shift the decimal point to the left 6 places. The value is much smaller.

@psydag so whats it equal?

1. The correct expression in scientific notation for the length of a micrometer (0.00003937 inch) is A. 0.3937 * 10^-4.

2. Here are the correct expressions for each number in either scientific notation or standard notation:

a. The diameter of Mercury is 4,879 kilometers.
- In scientific notation: 4.879 * 10^3

b. The distance from Saturn to the Sun at its closest point is about 8.4044 * 10^8 miles.
- This is already given in scientific notation.

c. The diameter of a platelet is about 3 * 10^-6 meter.
- In standard notation: 0.000003 meters or 3 micrometers.

So, to correct your answers:
a. The correct answer is 4,879 * 10^3.
b. The correct answer is 8.4044 * 10^8.
c. The correct answer is 3 * 10^-6.

1. To express the length of a micrometer in scientific notation, we need to convert the given value into a number between 1 and 10 and multiply it by a power of 10. In this case, the length is approximately 0.00003937 inch.

To convert this to scientific notation, we can first move the decimal point to the right so that there is only one non-zero digit to the left of the decimal point. This gives us 0.3937.

Next, we count the number of places we moved the decimal point to the right (in this case, 4 places) and express this as a negative exponent of 10. Therefore, the correct answer is B. 3.937 * 10^-5.

2. Let's break down each part correctly:

a. The diameter of Mercury is given as 4879 kilometers. This is already in standard notation.

b. The distance from Saturn to the Sun at its closest point is given as 8.4044 * 10^8 miles. This is already in scientific notation.

c. The diameter of a platelet is given as 3 * 10^-6 meters. This is already in scientific notation.

It seems that your answer for part b is incorrect. The given value, 8.4044 * 10^8, is already written in scientific notation. To convert it into standard notation, we can multiply 8.4044 by 10^8, which gives us 840,440,000.

Therefore, the correct answers are:

a. 4879 kilometers (standard notation)
b. 8.4044 * 10^8 miles (scientific notation)
c. 3 * 10^-6 meters (scientific notation)