Asksia AI LOGO

Sia

Question
Math
Posted 2 months ago

Use a calculator to work out
4.67×105×6.98×10125.04×103
\frac{4.67 \times 10^{-5} \times 6.98 \times 10^{12}}{5.04 \times 10^{3}}


Give your answer in standard form to 3 significant figures.
Sign in to unlock the answer
Answer from Sia
Posted 2 months ago
Solution by Steps
step 1
We start with the expression:

4.67×105×6.98×10125.04×103
\frac{4.67 \times 10^{-5} \times 6.98 \times 10^{12}}{5.04 \times 10^{3}}

step 2
Calculating the numerator:

4.67×105×6.98×1012=3.25846×108
4.67 \times 10^{-5} \times 6.98 \times 10^{12} = 3.25846 \times 10^{8}

step 3
Now, we divide by the denominator:

3.25846×1085.04×103=6.46×104
\frac{3.25846 \times 10^{8}}{5.04 \times 10^{3}} = 6.46 \times 10^{4}

step 4
Converting to standard form to 3 significant figures:

6.46×104
6.46 \times 10^{4}


Answer
6.46×1046.46 \times 10^{4}
Key Concept
Standard form and significant figures
Explanation
The answer is expressed in standard form, which is a way of writing numbers that are too big or too small in a compact form, and it is rounded to three significant figures as requested.

Not the question you are looking for? Ask here!

Enter question by text

Enter question by image

Unlock Smarter Learning with AskSia Super!

Join Super, our all-in-one AI solution that can greatly improve your learning efficiency.

30% higher accuracy than GPT-4o
Entire learning journey support
The most student-friendly features
Study Other Question