Question
What is the quotient of \( 1.44 \times 10^{8} \) and \( 6.0 \times 10^{5} \) expressed in scientific notation? Answer Attempt 3 out of 3 Answer: \( \square \times 10 \square \) Submit Answer
Ask by Brewer Lee. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The quotient is \(2.4 \times 10^{2}\) or 240.
Solution
Calculate or simplify the expression \( \frac{1.44 \times 10^{8}}{6.0 \times 10^{5}} \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{1.44\times 10^{8}}{6\times 10^{5}}\)
- step1: Separate the fraction:
\(\frac{1.44}{6}\times \frac{10^{8}}{10^{5}}\)
- step2: Divide:
\(0.24\times \frac{10^{8}}{10^{5}}\)
- step3: Divide:
\(0.24\times 10^{8-5}\)
- step4: Evaluate:
\(0.24\times 10^{3}\)
- step5: Rewrite the number:
\(2.4\times 10^{2}\)
The quotient of \(1.44 \times 10^{8}\) and \(6.0 \times 10^{5}\) expressed in scientific notation is \(2.4 \times 10^{2}\) or 240.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Mind Expander
To find the quotient of \( 1.44 \times 10^{8} \) and \( 6.0 \times 10^{5} \), we divide the coefficients and subtract the exponents of the powers of ten. 1. First, divide the coefficients: \[ \frac{1.44}{6.0} = 0.24 \] 2. Next, subtract the exponents: \[ 10^{8 - 5} = 10^{3} \] 3. Combine these results: \[ 0.24 \times 10^{3} \] 4. To express it in proper scientific notation, we need to adjust \( 0.24 \) to \( 2.4 \) and decrease the exponent by 1: \[ 2.4 \times 10^{2} \] Thus, the final answer is \( 2.4 \times 10^{2} \).
