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.
Los Angeles: 3.10801 x 10^3
Seattle: 3.50307 x 10^3
To calculate the total distance traveled, we need to find the sum of the distances for each trip.
Given that Sita plans to visit her grandmother three times, the expression to calculate the total distance traveled is:
3 * (3.10801 x 10^3 + 3.50307 x 10^3)
Simplifying this expression, we have:
3 * (6.61108 x 10^3)
Multiplying 3 by the sum of the two distances, we get:
19.83324 x 10^3
Converting this number to scientific notation, we get:
1.983324 x 10^4
Therefore, the total distance Sita will travel to make these three trips is approximately 19.83324 x 10^3 or 1.983324 x 10^4.
To calculate the total distance traveled by Sita for the three trips, we can multiply the distance between Los Angeles and Seattle (3.10801 x 10^3) by the total number of trips (3).
The expression to calculate the total distance traveled is: (3.10801 x 10^3) * 3.
To evaluate this expression, we will perform the multiplication:
(3.10801 x 10^3) * 3 = 9.32403 x 10^3.
Therefore, the total distance traveled by Sita in decimal notation is 9,324.03 and in scientific notation is 9.32403 x 10^3.
To calculate the total distance Sita will travel, we need to find the sum of the distances for each trip to her grandmother's house.
Let's first express the distances in decimal notation:
Los Angeles: 3.10801 x 10^3 (which means 3.10801 multiplied by 1000, so 3108.01)
Seattle: 3.50307 x 10^3 (which means 3.50307 multiplied by 1000, so 3503.07)
To calculate the total distance traveled, we can multiply the distance to Seattle by 3, as Sita plans to visit her grandmother three times:
Total distance traveled = 3 x 3503.07 = 10509.21
Therefore, the total distance Sita will travel to make these three trips is 10509.21 miles in decimal notation.
In scientific notation, we need to express this result in the standard form. Since 10509.21 is a two-digit number, we need to multiply it by a power of 10 to bring it into the form where the decimal point is after the first digit. In this case, we can use 10^4.
So, the total distance traveled in scientific notation is:
Total distance traveled = 1.050921 x 10^4 miles