There are about 1.6 × 10³ meters in a mile. About how many miles ate there in 3.52 × 10⁷ meters? Write your answer in scientific notation, expressed to the exact decimal place.
To find the number of miles in 3.52 × 10⁷ meters, we divide the number of meters by the conversion factor of 1.6 × 10³ meters in a mile:
(3.52 × 10⁷ meters) / (1.6 × 10³ meters/mile)
To divide the numbers in scientific notation, we divide the coefficients and subtract the exponents:
3.52 / 1.6 = 2.2
10⁷ / 10³ = 10⁴
Combining these results, we get 2.2 × 10⁴.
Therefore, there are approximately 2.2 × 10⁴ miles in 3.52 × 10⁷ meters.
To find out how many miles there are in 3.52 × 10⁷ meters, we can use the conversion factor of 1.6 × 10³ meters per mile.
We can set up a proportion to solve for the number of miles:
(3.52 × 10⁷ meters) / (1.6 × 10³ meters per mile) = (x miles) / (1)
To divide two numbers in scientific notation, we divide the coefficients and subtract the exponents:
(3.52 ÷ 1.6) × (10⁷ ÷ 10³) = 2.2 × 10⁴ miles
Therefore, there are approximately 2.2 × 10⁴ miles in 3.52 × 10⁷ meters.
To find the number of miles in 3.52 × 10⁷ meters, divide 3.52 × 10⁷ by 1.6 × 10³.
Step 1: Divide the coefficients: 3.52 ÷ 1.6 = 2.2
Step 2: Divide the exponents: 10⁷ ÷ 10³ = 10⁴
Therefore, there are 2.2 × 10⁴ miles in 3.52 × 10⁷ meters.