what is the order of magnitude for the total weight of 5 cars that weigh 3000 pounds each?
15,000
i think 15,000
To calculate the order of magnitude for the total weight of 5 cars that weigh 3000 pounds each, we need to find the approximate value of the total weight and then determine the power of 10 that represents this value.
1. Start by calculating the total weight of the cars. Since each car weighs 3000 pounds and there are 5 cars:
Total weight = 3000 pounds/car * 5 cars
Total weight = 15000 pounds
2. To find the order of magnitude, we want to express the value 15000 in scientific notation. In scientific notation, a number is written in the form of a x 10^b, where 'a' is a number between 1 and 10, and 'b' is an integer.
3. To convert 15000 to scientific notation, we need to move the decimal point until we have a value between 1 and 10. Here, we can move the decimal point one place to the left:
15000 = 1.5 × 10^4
4. The order of magnitude for the total weight of the 5 cars is 4.
To determine the order of magnitude for the total weight of the cars, we need to find the approximate value of the total weight and express it in scientific notation. Here's how we can do that:
1. Calculate the total weight: Start by multiplying the weight of one car by the number of cars. In this case, each car weighs 3000 pounds, and there are 5 cars. So, the total weight would be 3000 pounds multiplied by 5, which equals 15,000 pounds.
2. Express the total weight in scientific notation: In scientific notation, a number is expressed as the product of a decimal number between 1 and 10, and a power of 10. To express 15,000 pounds in scientific notation, we can write it as 1.5 × 10^4 pounds.
Now, let's determine the order of magnitude:
The order of magnitude is the power of 10 in scientific notation. In this case, the power of 10 is 4, so the order of magnitude for the total weight of the 5 cars that weigh 3000 pounds each is 4.