Visible blue light has a wavelength of about 0.0000475 centimeters.

Question

What is this measurement written in scientific notation?
A.
4.75 × 10^-4 centimeters
B.
4.75 × 10^5 centimeters
C.
4.75 × 10^-5 centimeters
D.
4.75 × 10^4 centimeters

Answer 1

To express the value 0.0000475 centimeters in scientific notation, you need to move the decimal point to the right until you get a number between 1 and 10, and then count how many places you've moved it.

0.0000475 can be written as 4.75 when you move the decimal point 4 places to the right. Since you moved it to the right, this is represented as a negative exponent in scientific notation.

Thus, 0.0000475 centimeters is written as:

\[ 4.75 \times 10^{-5} \text{ centimeters} \]

Therefore, the correct answer is:

C. \( 4.75 \times 10^{-5} \) centimeters

Answer 2

The contents of a cell in a spreadsheet are shown below.

7.0421E+6

What number do the contents of the cell represent?
A.
0.0000007042
B.
0.0000070421
C.
7,042,100
D.
70,421,000,000

Answer 3

The notation "7.0421E+6" is in scientific notation, where "E+6" indicates that you multiply \( 7.0421 \) by \( 10^6 \).

To convert this to a standard number:

• Move the decimal point in \( 7.0421 \) to the right 6 places (because of the \( +6 \)).
• This gives \( 7.0421 \) a value of \( 7,042,100 \) (adding two zeros after moving the decimal).

So, \( 7.0421E+6 \) represents \( 7,042,100 \).

Thus, the correct answer is:

C. \( 7,042,100 \)

Answer 4

The contents of a cell in a spreadsheet are shown below.

2.7868E+9

What number do the contents of the cell represent?
A.
2.7868 × 10-9
B.
2.7868 × 109
C.
2.7868 × 10-10
D.
2.7868 × 1013

Answer 5

The notation "2.7868E+9" means \( 2.7868 \times 10^9 \). This indicates that you take the number \( 2.7868 \) and multiply it by \( 10 \) raised to the 9th power.

To convert this scientific notation to a standard number:

• \( 10^9 \) means moving the decimal point in \( 2.7868 \) to the right 9 places.
• Therefore, \( 2.7868 \) becomes \( 2,786,800,000 \) when expressed in standard form.

Thus, the correct representation of the number is:

B. \( 2.7868 \times 10^9 \)

Please note that the other options do not accurately represent \( 2.7868E+9 \). Therefore, the correct answer for what the contents of the cell represent is simply \( 2.7868E+9 \) or that equivalent in terms of base 10, which is option B.

Answer 6

The international border between the United States and Mexico is approximately 1.951 × 103 miles in length. What is this distance in standard form?
A.
1,951 miles
B.
195,100 miles
C.
195.1 miles
D.
19,510 miles

Answer 7

The scientific notation \( 1.951 \times 10^3 \) means that you take \( 1.951 \) and multiply it by \( 10^3 \) (which is 1000).

To convert this to standard form:

• Move the decimal point in \( 1.951 \) to the right 3 places.

Doing this:

• \( 1.951 \) becomes \( 1,951 \) when you move the decimal point 3 places to the right.

Therefore, \( 1.951 \times 10^3 \) in standard form is:

1,951 miles

Thus, the correct answer is:

A. 1,951 miles

Answer 8

Write the standard number 6,944,000 in scientific notation.
A.
6.944 × 10^-6
B.
6.944 × 10^6
C.
69.44 × 10^6
D.
6.944 × 10^5

Answer 9

To convert the standard number \( 6,944,000 \) into scientific notation, you need to express it in the form \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.

1. First, identify where to place the decimal point so that the coefficient \( a \) is a number between 1 and 10. In this case, \( 6,944,000 \) can be written as \( 6.944 \) (moving the decimal point 6 places to the left).

2. Since we moved the decimal 6 places to the left, the exponent will be \( +6 \).

So, \( 6,944,000 \) in scientific notation is:

\[ 6.944 \times 10^6 \]

Therefore, the correct answer is:

B. \( 6.944 \times 10^6 \)