Atlanta 0. Baltimore 9.2735x10^2. Boston 1.50511x10^3. Chicago 9.444x10^2. Los Angeles 3.10801x10^3. Seattle 3.50307x10^3. Tampa 6.7037. Sits lives in Los Angeles and her grandmother lives in Seattle. Sits plans to visit her in grandmother three times in the next year. What is the total distance she will travel to make these three trips? Write and evaluate an expression that uses multiplication to calculate the total distance traveled. Give your answer in both decimal notation and scientific notation.

Answer 1

To find the total distance Sit will travel to visit her grandmother in Seattle from Los Angeles, we first need to identify the distance between the two cities based on the information provided.

The distance from Los Angeles to Seattle is given as:

• Los Angeles to Seattle = 3.50307 x 10^3 miles

This can be converted to decimal notation: \[ 3.50307 \times 10^3 = 3.50307 \times 1000 = 3503.07 \text{ miles} \]

Since Sit plans to make three trips to Seattle, we can express the total distance traveled as: \[ \text{Total Distance} = \text{Distance one way} \times \text{Number of trips} \] Inserting in the values: \[ \text{Total Distance} = 3503.07 \text{ miles} \times 3 \]

Now, performing the multiplication: \[ 3503.07 \times 3 = 10509.21 \text{ miles} \]

We can also express this \(10509.21\) miles in scientific notation. To convert it: \[ 10509.21 = 1.050921 \times 10^4 \text{ miles} \]

Thus, the total distance that Sit will travel to make these three trips is:

• In decimal notation: 10509.21 miles
• In scientific notation: 1.050921 x 10^4 miles

Answer 2

Simplify this

Answer 3

To simplify the total distance Sit will travel to her grandmother in Seattle, we already calculated it as:

• Total Distance (decimal notation): \( 10509.21 \) miles
• Total Distance (scientific notation): \( 1.050921 \times 10^4 \) miles

To provide a more straightforward presentation, we can round the scientific notation for easier interpretation:

Rounded to Three Significant Figures:

• In scientific notation: \( 1.05 \times 10^4 \) miles

Summary:

• Total Distance in decimal notation: 10,509.21 miles
• Total Distance in scientific notation: \( 1.05 \times 10^4 \) miles

This provides a simplified form of the distances, focusing on three significant figures for clarity.

Answer 4

Using the table of distances make up your own world problem that would require someone to use division to solve. Write the problem and provide the solution.

Answer 5

Problem:

Maria is planning a cross-country truck trip to deliver supplies. She will travel from Atlanta to Los Angeles, and the distance between these two cities is given as \( 3.10801 \times 10^3 \) miles, or \( 3108.01 \) miles in decimal notation. Maria's truck can travel an average of 500 miles on a full tank of gas.

How many full tanks of gas will Maria need for her trip from Atlanta to Los Angeles?

Solution:

To calculate how many full tanks of gas Maria will need, we need to divide the total distance of her trip by the distance she can travel on one full tank of gas.

1. Total distance from Atlanta to Los Angeles: \( 3108.01 \) miles
2. Distance per full tank: \( 500 \) miles

Now we perform the division: \[ \text{Number of tanks needed} = \frac{\text{Total Distance}}{\text{Distance per tank}} = \frac{3108.01 \text{ miles}}{500 \text{ miles/tank}} \]

Calculating the division: \[ \frac{3108.01}{500} = 6.21602 \]

Since Maria can only use full tanks of gas, we will round up to the nearest whole number: \[ \text{Full tanks needed} = 7 \]

Final Answer: Maria will need 7 full tanks of gas for her trip from Atlanta to Los Angeles.

Answer 6

Read the article “planet”. You will use information from this article to answer the following questions. Make a list of the distances from each planet to the sun, written in scientific notation. If there is a shortest and longest distance use the average distance from the sun.

Answer 7

Since I cannot directly read articles or access external sources like "planet," I can provide the average distances from the Sun to each planet based on common astronomical data. Here are the average distances from the Sun to each planet in our solar system, expressed in scientific notation:

1. Mercury: \( 5.79 \times 10^{10} \) meters
2. Venus: \( 1.08 \times 10^{11} \) meters
3. Earth: \( 1.50 \times 10^{11} \) meters
4. Mars: \( 2.28 \times 10^{11} \) meters
5. Jupiter: \( 7.79 \times 10^{11} \) meters
6. Saturn: \( 1.43 \times 10^{12} \) meters
7. Uranus: \( 2.87 \times 10^{12} \) meters
8. Neptune: \( 4.50 \times 10^{12} \) meters

Summary of Average Distances from the Sun:

• Mercury: \( 5.79 \times 10^{10} \)
• Venus: \( 1.08 \times 10^{11} \)
• Earth: \( 1.50 \times 10^{11} \)
• Mars: \( 2.28 \times 10^{11} \)
• Jupiter: \( 7.79 \times 10^{11} \)
• Saturn: \( 1.43 \times 10^{12} \)
• Uranus: \( 2.87 \times 10^{12} \)
• Neptune: \( 4.50 \times 10^{12} \)

Shortest and Longest Distances:

• Shortest distance from the Sun: Mercury
• Longest distance from the Sun: Neptune

Average Distance from the Sun:

If you're looking for the average for a more concise representation, you can take the average of all the distances. However, since you've asked for average distances rather than a plain average, I will keep them listed in scientific notation as above.

If you need the average of just the distances of the planets, please specify which planets to include!

Answer 8

Chose two of the distances of planets from the sun and add them. Show your work

Answer 9

Let's choose the distances from the Sun for Earth and Jupiter to add them together. The distances in scientific notation are:

• Earth: \( 1.50 \times 10^{11} \) meters
• Jupiter: \( 7.79 \times 10^{11} \) meters

To add these two numbers, we first ensure they are expressed in a compatible scientific notation format. Since both values are already in the same exponent form (with \( 10^{11} \)), we can add the coefficients directly:

1. Write down the distances: \[ 1.50 \times 10^{11} + 7.79 \times 10^{11} \]

2. Add the coefficients: \[ 1.50 + 7.79 = 9.29 \]

3. Combine with the common power of 10: \[ 9.29 \times 10^{11} \]

Thus, the sum of the distances from the Sun for Earth and Jupiter is:

\[ \boxed{9.29 \times 10^{11}} \text{ meters} \]

Answer 10

Choose two of the distances of planets from the sun and subtract them. Show your work

Answer 11

Let's choose the distances from the Sun for Saturn and Mars to subtract them. The distances in scientific notation are:

• Saturn: \( 1.43 \times 10^{12} \) meters
• Mars: \( 2.28 \times 10^{11} \) meters

Before we perform the subtraction, we need to express both numbers in a compatible scientific notation format. Since \( 1.43 \times 10^{12} \) has an exponent of \( 12 \) and \( 2.28 \times 10^{11} \) has an exponent of \( 11 \), we can convert \( Mars \)'s distance to the same power of 10 as \( Saturn \):

1. Convert Mars's distance: \[ 2.28 \times 10^{11} = 0.228 \times 10^{12} \quad (\text{by dividing the coefficient by 10}) \]

Now, we have:

• Saturn: \( 1.43 \times 10^{12} \)
• Mars: \( 0.228 \times 10^{12} \)

2. Subtract the distances: \[ 1.43 \times 10^{12} - 0.228 \times 10^{12} = (1.43 - 0.228) \times 10^{12} \]

3. Perform the subtraction on the coefficients: \[ 1.43 - 0.228 = 1.202 \]

4. Combine with the common power of 10: \[ 1.202 \times 10^{12} \]

Thus, the result of subtracting Mars's distance from Saturn's distance is:

\[ \boxed{1.202 \times 10^{12}} \text{ meters} \]