Which of the following best represents the speed of a sloth?

Question

A.
4 × 105 kilometers per second
B.
4 × 105 meters per second
C.
4 × 10-5 meters per second
D.
4 × 10-5 kilometers per second

Answer 1

The speed of a sloth is typically around 0.03 kilometers per hour, which converts to approximately 4 × 10^-5 kilometers per second. Therefore, the option that best represents the speed of a sloth is:

D. 4 × 10^-5 kilometers per second.

Answer 2

The speed of light is 3 × 108 meters per second. What is this speed in standard form?
A.
3,000,000,000 meters per second
B.
300,000,000 meters per second
C.
300,000 meters per second
D.
30,000,000 meters per second

Answer 3

The speed of light is given as \(3 \times 10^8\) meters per second. In standard form, this is equivalent to \(300,000,000\) meters per second.

Thus, the correct answer is:

B. 300,000,000 meters per second.

Answer 4

The display on a calculator screen is shown below.

8.457908EE-8

What number does the calculator display represent?
A.
It represents 845,790,800
B.
It represents 84,579,080
C.
It represents 0.000000008457908
D.
It represents 0.00000008457908

Answer 5

The notation EE-8 on a calculator screen typically represents scientific notation, where EE stands for "exponent of 10."

The number 8.457908EE-8 means \(8.457908 \times 10^{-8}\).

To convert this to standard decimal form:

• The -8 exponent means you move the decimal point 8 places to the left.

So, \(8.457908 \times 10^{-8} = 0.00000008457908\).

Thus, the correct answer is:

D. It represents 0.00000008457908.

Answer 6

Write the number 0.0402 × 10^18 in scientific notation.
A.
4.02 × 10^17
B.
40.2 × 10^16
C.
4.02 × 10^16
D.
4.02 × 10^20

Answer 7

To convert the number \(0.0402 \times 10^{18}\) into proper scientific notation, we should express it such that there is only one non-zero digit to the left of the decimal point.

1. Move the decimal point in \(0.0402\) two places to the right. This gives \(4.02\).
2. Since we moved the decimal point two places to the right, we need to decrease the exponent by 2.

Thus: \[ 0.0402 \times 10^{18} = 4.02 \times 10^{16} \]

So, the answer is:

C. \(4.02 \times 10^{16}\).

Answer 8

The diameter of a bacterium is displayed on the calculator as 2E-6 where E represents the × 10 part.
Based on the output of the calculator, the size of the bacterium written in scientific notation would be___ × 10___ of a meter.
In standard form, the value would be represented as ____

Answer 9

The display "2E-6" means \(2 \times 10^{-6}\).

Based on this output, the size of the bacterium written in scientific notation would be:

2 × 10^-6 of a meter.

In standard form, this value is represented as:

0.000002 meters.

So, to summarize:

• In scientific notation: 2 × 10^-6 of a meter.
• In standard form: 0.000002 meters.