Divide 3.3 × 10⁴ by 5.5 × 10⁷.
it's 6 x 10^-4
To divide numbers written in scientific notation, we divide the coefficients and subtract the exponents.
So, by dividing 3.3 by 5.5, we get 0.6.
And by subtracting the exponent 10⁴ from 10⁷, we get 10⁷ - 10⁴ = 10³.
Therefore, 3.3 × 10⁴ ÷ 5.5 × 10⁷ = 0.6 × 10³, or 0.6 × 1000.
So, the answer is 600.
To divide numbers in scientific notation, you divide the coefficient (the number without the exponent) and subtract the exponents. Here's how to do it step by step:
1. Divide the coefficients: 3.3 ÷ 5.5 = 0.6 (rounded to one decimal place).
2. Subtract the exponents: 10⁴ ÷ 10⁷ = 10⁴⁻⁷ = 10⁻³ (when dividing exponents with the same base, you subtract them).
3. Write the result in scientific notation: 0.6 × 10⁻³.
So, 3.3 × 10⁴ divided by 5.5 × 10⁷ equals 0.6 × 10⁻³.
To divide 3.3 × 10⁴ by 5.5 × 10⁷, we can perform the division of the numbers as follows:
Step 1: Divide the numerical values: 3.3 ÷ 5.5 = 0.6
Step 2: Divide the exponents of the powers of 10: 10⁴ ÷ 10⁷ = 10⁻³
Step 3: Combine the numerical result with the power of 10 result: 0.6 × 10⁻³
Therefore, 3.3 × 10⁴ divided by 5.5 × 10⁷ is equal to 0.6 × 10⁻³.