Asksia AI LOGO

Sia

Question
Math
Posted 3 days 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 3 days 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

Upgrade to Asksia Pro

Join a AskSia's Pro Plan, and get 24/7 AI tutoring for your reviews, assignments, quizzes and exam preps.

Unlimited chat query usages
Strong algorithms that better know you
Early access to new release features
Study Other Question