Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Complete question is;
A rocket ship is travelling at an average speed of 1.75 × 10⁴ miles per hour. How many miles will the rocket ship travel in 1.2 × 10² hours?
1. Write the expression: (1.75 × 10⁴)(1.2 × 10²)
2. Rearrange the expression: (1.75 × 1.2)(10⁴ × 10²)
3. Multiply the coefficients: (2.1)(10⁴ × 10²)
4. Apply the product of powers: 2.1 × 10^(y)
The rocket ship will travel 2.1 × 10^(y) miles. What is the value of y in the solution?
Answer:
Distance travelled by rocket ship = 2.1 × 10^(6) miles
y = 6
Step-by-step explanation:
1. The written expression;
(1.75 × 10⁴)(1.2 × 10²)
2. The rearranged expression is;
(1.75 × 1.2)(10⁴ × 10²)
3. Let's multiply the coefficient which is the first bracket to get;
2.1(10⁴ × 10²)
4. Applying the product of powers means we will add the powers of ten which are 4 and 2.
Thus; 2.1(10^(4 + 2)) = 2.1 × 10^(6) miles
Comparing to 2.1 × 10^(y), we have;
y = 6
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.
