Convert 3.875×109 meters to kilometers. Express the answer to the exact decimal place.

Question

Note: 1 kilometer is equal to 1,000 meters

__km

Answer 1

To convert meters to kilometers, you can use the conversion factor that 1 kilometer is equal to 1,000 meters.

To convert \(3.875 \times 10^9\) meters to kilometers, you divide the number of meters by 1,000:

\[ \text{Kilometers} = \frac{3.875 \times 10^9 \text{ meters}}{1,000} \]

\[ \text{Kilometers} = 3.875 \times 10^9 \div 10^3 \]

\[ \text{Kilometers} = 3.875 \times 10^{9 - 3} \]

\[ \text{Kilometers} = 3.875 \times 10^6 \]

Thus, \(3.875 \times 10^9\) meters is equal to \(3.875 \times 10^6\) kilometers.

The final answer is:

\[ \boxed{3.875 \times 10^6 \text{ km}} \]

Answer 2

Convert 4.083×106 kilometers to meters. Express the answer to the exact decimal place.

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

__ meters

Answer 3

To convert kilometers to meters, you can use the conversion factor that 1 kilometer is equal to 1,000 meters.

To convert \(4.083 \times 10^6\) kilometers to meters, you multiply the number of kilometers by 1,000:

\[ \text{Meters} = 4.083 \times 10^6 \text{ kilometers} \times 1,000 \]

\[ \text{Meters} = 4.083 \times 10^6 \times 10^3 \]

\[ \text{Meters} = 4.083 \times 10^{6 + 3} \]

\[ \text{Meters} = 4.083 \times 10^9 \]

Thus, \(4.083 \times 10^6\) kilometers is equal to \(4.083 \times 10^9\) meters.

The final answer is:

\[ \boxed{4.083 \times 10^9 \text{ meters}} \]

Answer 4

Ali’s farmhouse has a height of 2.307×108 meters. Convert the height to centimeters. Express your answer in scientific notation to the exact decimal place.

Note: 1 meter is equal to 100 centimeters.

__centimeters

Answer 5

To convert meters to centimeters, you can use the conversion factor that 1 meter is equal to 100 centimeters.

To convert \(2.307 \times 10^8\) meters to centimeters, you multiply the number of meters by 100:

\[ \text{Centimeters} = 2.307 \times 10^8 \text{ meters} \times 100 \]

First, express 100 in scientific notation:

\[ 100 = 1 \times 10^2 \]

Now, multiply:

\[ \text{Centimeters} = 2.307 \times 10^8 \times 1 \times 10^2 \]

When multiplying in scientific notation, you add the exponents:

\[ \text{Centimeters} = 2.307 \times 10^{8 + 2} \]

\[ \text{Centimeters} = 2.307 \times 10^{10} \]

Thus, the height of Ali's farmhouse in centimeters is:

\[ \boxed{2.307 \times 10^{10} \text{ centimeters}} \]

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?

__×10−14

Answer 7

The number displayed by the calculator, \(6.13E−14\), is already in scientific notation. The notation "E" stands for "exponent," which indicates the power of 10 that the number is multiplied by.

Thus, \(6.13E−14\) can be expressed as:

\[ 6.13 \times 10^{-14} \]

The final answer is:

\[ \boxed{6.13 \times 10^{-14}} \]

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?

1.67 ×___ grams

Answer 9

The number displayed by the calculator, \(1.67E−21\), is in scientific notation and can be expressed as:

\[ 1.67 \times 10^{-21} \text{ grams} \]

So, the mass of 1,000 protons in scientific notation is:

\[ \boxed{1.67 \times 10^{-21} \text{ grams}} \]