Answer :
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