Question
Convert 3.875×109
meters to kilometers. Express the answer to the exact decimal place.
Note: 1 kilometer is equal to 1,000 meters.
Convert 4.083×106
kilometers to meters. Express the answer to the exact decimal place.
Note: 1 kilometer is equal to 1,000 meters.
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.
Alberto added two very small numbers using a calculator. The calculator displayed the number 6.13E−14
. What is this number in scientific notation?
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?
meters to kilometers. Express the answer to the exact decimal place.
Note: 1 kilometer is equal to 1,000 meters.
Convert 4.083×106
kilometers to meters. Express the answer to the exact decimal place.
Note: 1 kilometer is equal to 1,000 meters.
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.
Alberto added two very small numbers using a calculator. The calculator displayed the number 6.13E−14
. What is this number in scientific notation?
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?
Answers
GPT-4o mini
Let's convert the given measurements step by step:
### 1. Convert \(3.875 \times 10^9\) meters to kilometers.
To convert meters to kilometers, we divide by 1,000 (or \(10^3\)):
\[
3.875 \times 10^9 \text{ meters} = \frac{3.875 \times 10^9}{10^3} = 3.875 \times 10^6 \text{ kilometers}
\]
### 2. Convert \(4.083 \times 10^6\) kilometers to meters.
To convert kilometers to meters, we multiply by 1,000 (or \(10^3\)):
\[
4.083 \times 10^6 \text{ kilometers} = 4.083 \times 10^6 \times 10^3 = 4.083 \times 10^9 \text{ meters}
\]
### 3. Convert \(2.307 \times 10^8\) meters to centimeters.
To convert meters to centimeters, we multiply by 100 (or \(10^2\)):
\[
2.307 \times 10^8 \text{ meters} = 2.307 \times 10^8 \times 10^2 = 2.307 \times 10^{10} \text{ centimeters}
\]
### 4. Convert \(6.13E−14\) to scientific notation.
The notation \(6.13E-14\) is already in scientific notation, which is written as:
\[
6.13 \times 10^{-14}
\]
### 5. Convert \(1.67E−21\) to scientific notation.
The notation \(1.67E-21\) is also already in scientific notation:
\[
1.67 \times 10^{-21}
\]
### Summary of Answers
1. \(3.875 \times 10^9\) meters = \(3.875 \times 10^6\) kilometers
2. \(4.083 \times 10^6\) kilometers = \(4.083 \times 10^9\) meters
3. \(2.307 \times 10^8\) meters = \(2.307 \times 10^{10}\) centimeters
4. \(6.13E−14\) = \(6.13 \times 10^{-14}\)
5. \(1.67E−21\) = \(1.67 \times 10^{-21}\)
### 1. Convert \(3.875 \times 10^9\) meters to kilometers.
To convert meters to kilometers, we divide by 1,000 (or \(10^3\)):
\[
3.875 \times 10^9 \text{ meters} = \frac{3.875 \times 10^9}{10^3} = 3.875 \times 10^6 \text{ kilometers}
\]
### 2. Convert \(4.083 \times 10^6\) kilometers to meters.
To convert kilometers to meters, we multiply by 1,000 (or \(10^3\)):
\[
4.083 \times 10^6 \text{ kilometers} = 4.083 \times 10^6 \times 10^3 = 4.083 \times 10^9 \text{ meters}
\]
### 3. Convert \(2.307 \times 10^8\) meters to centimeters.
To convert meters to centimeters, we multiply by 100 (or \(10^2\)):
\[
2.307 \times 10^8 \text{ meters} = 2.307 \times 10^8 \times 10^2 = 2.307 \times 10^{10} \text{ centimeters}
\]
### 4. Convert \(6.13E−14\) to scientific notation.
The notation \(6.13E-14\) is already in scientific notation, which is written as:
\[
6.13 \times 10^{-14}
\]
### 5. Convert \(1.67E−21\) to scientific notation.
The notation \(1.67E-21\) is also already in scientific notation:
\[
1.67 \times 10^{-21}
\]
### Summary of Answers
1. \(3.875 \times 10^9\) meters = \(3.875 \times 10^6\) kilometers
2. \(4.083 \times 10^6\) kilometers = \(4.083 \times 10^9\) meters
3. \(2.307 \times 10^8\) meters = \(2.307 \times 10^{10}\) centimeters
4. \(6.13E−14\) = \(6.13 \times 10^{-14}\)
5. \(1.67E−21\) = \(1.67 \times 10^{-21}\)