Sita lives in Los Angeles, and her grandmother lives in Seattle. Sita plans to

visit her 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.

here is the table

Atlanta Baltimore Boston Chicago Los Angeles Seattle Tampa Atlanta 0 9.2735×102 1.50511×103 9.444×102 3.10801×103 3.50307×103 6.7037×102 Baltimore 9.2735×102 0 5.7785×102 9.7323×102 3.72245×103 3.7441×103 1.37072×103 Boston 1.50511×103 5.7785×102 0 1.36663×103 4.16643×103 3.99708×103 1.90293×103 Chicago 9.444×102 9.7323×102 1.36663×103 0 2.79980×103 2.78657×103 1.61477×103 Los Angeles 3.10801×103 3.72245×103 4.16643×103 2.79980×103 0 1.5442×103 3.45696×103 Seattle 3.50307×103 3.7441×103 3.99708×103 2.78657×103 1.5442×103 0 4.06249×103 Tampa 6.7037×102 1.37072×103 1.90293×103 1.61477×103 3.45696×103 4.06249×103 0

5 answers

To find the total distance Sita will travel from Los Angeles to Seattle, we can look at the distance provided in the table. The distance from Los Angeles to Seattle is given as \( 1.5442 \times 10^3 \) kilometers.

Since Sita plans to visit her grandmother three times, we can calculate the total distance she will travel using multiplication as follows:

  1. Find the distance for one round trip:

    • The round trip distance is twice the one-way distance: \[ \text{Round Trip Distance} = 2 \times 1.5442 \times 10^3 \text{ km} \]
  2. Then calculate the total distance for three trips: \[ \text{Total Distance} = 3 \times \text{Round Trip Distance} = 3 \times (2 \times 1.5442 \times 10^3) \]

Let's perform the calculations step-by-step:

Step 1: Calculate the round trip distance

\[ \text{Round Trip Distance} = 2 \times 1.5442 \times 10^3 = 3.0884 \times 10^3 \text{ km} \]

Step 2: Calculate the total distance for three trips

\[ \text{Total Distance} = 3 \times 3.0884 \times 10^3 \] \[ = 9.2652 \times 10^3 \text{ km} \]

Step 3: Convert to decimal notation

To convert \( 9.2652 \times 10^3 \) to decimal notation: \[ = 9265.2 \text{ km} \]

Summary

  • Total distance traveled (in decimal notation): 9265.2 km
  • Total distance traveled (in scientific notation): \( 9.2652 \times 10^3 \) km
put it in plain language

Sita lives in Los Angeles, and her grandmother lives in Seattle. The distance between these two cities is approximately 1,544.2 kilometers.

Sita plans to visit her grandmother three times this year. For each visit, she will need to travel to Seattle and back to Los Angeles, which means each trip will be double the one-way distance.

Here's how we can calculate the total distance she will travel:

  1. For one round trip (going to Seattle and coming back to Los Angeles), the distance is about 3,088.4 kilometers.
  2. Since Sita is making three of these round trips, we multiply that distance by 3.

After doing the math, we find that the total distance Sita will travel for all three trips is approximately 9,265.2 kilometers.

In simpler terms:

  • Total distance traveled: About 9,265.2 kilometers.
  • In scientific notation, that’s written as 9.2652 × 10^3 kilometers.
well los angeles to seattle would be 1.5442 soooooooooooooooooooooooooooooooooooooooooooo SAb

I apologize for any confusion in my previous response. Let's clarify the calculation for Sita's trips:

  1. The distance from Los Angeles to Seattle is 1.5442 × 10³ kilometers, which equals 1,544.2 kilometers.

  2. For each round trip (going to Seattle and returning to Los Angeles), the distance is: \[ 2 \times 1.5442 \times 10^3 = 3.0884 \times 10^3 \text{ kilometers} \text{ (which is 3,088.4 kilometers)} \]

  3. Since Sita plans to make three round trips: \[ 3 \times 3.0884 \times 10^3 = 9.2652 \times 10^3 \text{ kilometers} \text{ (which is 9,265.2 kilometers)} \]

To summarize:

  • The total distance Sita will travel for her three trips to Seattle and back is 9,265.2 kilometers.
  • In scientific notation, that's written as 9.2652 × 10³ kilometers.

If there are specific parts you'd like further clarification on or adjustments made, just let me know!