Convert 3.875×10^9 meters to kilometers. Express the answer to the exact decimal place.

Question

Note: 1 kilometer is equal to 1,000 meters

Answer 1

To convert meters to kilometers, you divide the number of meters by 1,000 (since 1 kilometer is equal to 1,000 meters).

Given: \[ 3.875 \times 10^9 \text{ meters} \]

Now, convert this to kilometers: \[ \text{kilometers} = \frac{3.875 \times 10^9 \text{ meters}}{1,000} \] \[ = 3.875 \times 10^9 \times 10^{-3} \text{ kilometers} \] \[ = 3.875 \times 10^{9 - 3} \text{ kilometers} \] \[ = 3.875 \times 10^6 \text{ kilometers} \]

Thus, the answer is: \[ 3.875 \times 10^6 \text{ kilometers} \]

Answer 2

Convert 4.083×10^6 kilometers to meters. Express the answer to the exact decimal place.

Note: 1 kilometer is equal to 1,000 meters.

Answer 3

To convert kilometers to meters, you multiply the number of kilometers by 1,000 (since 1 kilometer is equal to 1,000 meters).

Given: \[ 4.083 \times 10^6 \text{ kilometers} \]

Now, convert this to meters: \[ \text{meters} = 4.083 \times 10^6 \text{ kilometers} \times 1,000 \] \[ = 4.083 \times 10^6 \times 10^3 \text{ meters} \] \[ = 4.083 \times 10^{6 + 3} \text{ meters} \] \[ = 4.083 \times 10^9 \text{ meters} \]

Thus, the answer is: \[ 4.083 \times 10^9 \text{ meters} \]

Answer 4

Ali’s farmhouse has a height of 2.307*10^8. Convert the height to centimeters. Express your answer in scientific notation to the exact decimal place.

Note: 1 meter is equal to 100 centimeters.

Answer 5

To convert meters to centimeters, you multiply the number of meters by 100 (since 1 meter is equal to 100 centimeters).

Given: \[ 2.307 \times 10^8 \text{ meters} \]

Now, convert this to centimeters: \[ \text{centimeters} = 2.307 \times 10^8 \text{ meters} \times 100 \] \[ = 2.307 \times 10^8 \times 10^2 \text{ centimeters} \] \[ = 2.307 \times 10^{8 + 2} \text{ centimeters} \] \[ = 2.307 \times 10^{10} \text{ centimeters} \]

Thus, the height of the farmhouse in centimeters is: \[ 2.307 \times 10^{10} \text{ centimeters} \]

Answer 6

Alberto added two very small numbers using a calculator. The calculator displayed the number 6.13E-14. What is this number in scientific notation?

Answer 7

The number displayed by the calculator, \(6.13E-14\), is already in scientific notation.

In scientific notation, a number is expressed as \(a \times 10^n\), where \(1 \leq |a| < 10\) and \(n\) is an integer.

The notation \(6.13E-14\) can be interpreted as: \[ 6.13 \times 10^{-14} \]

So, in scientific notation, the number is: \[ 6.13 \times 10^{-14} \]

This is the correct representation in scientific notation.

Answer 8

Dina computed the mass of 1,000 protons in grams. The calculator displayed the number 1.67E−21. What is the mass of 1,000 protons in scientific notation?

Answer 9

The number displayed by the calculator, \(1.67E-21\), is already in scientific notation. In this format, \(E\) represents "times ten raised to the power of."

So \(1.67E-21\) can be expressed as: \[ 1.67 \times 10^{-21} \]

Thus, the mass of 1,000 protons in scientific notation is: \[ 1.67 \times 10^{-21} \text{ grams} \]

This is the correct representation in scientific notation.