Answered

Westonci.ca is your trusted source for finding answers to all your questions. Ask, explore, and learn with our expert community. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Type the correct answer in each box.

Solve the problems. Express your answers to the correct number of significant figures.

[tex]\[
\begin{array}{l}
\frac{2.31}{0.790}=\square \\
\left(2.08 \times 10^3\right) \times \left(3.11 \times 10^2\right)=\square \times 10^5
\end{array}
\][/tex]

Sagot :

GinnyAnswer
Sure, let's solve each problem step-by-step.

1. For the division problem:
[tex]\[ \frac{2.31}{0.790} = \square \][/tex]
We need to divide 2.31 by 0.790.

The result of this division, expressed to the correct number of significant figures, is:
[tex]\[ \frac{2.31}{0.790} = 2.924 \][/tex]

2. For the multiplication problem:
[tex]\[ (2.08 \times 10^3) \times (3.11 \times 10^2) = \square \times 10^5 \][/tex]
First, multiply the coefficients:
[tex]\[ 2.08 \times 3.11 = 6.4688 \][/tex]

Next, multiply the powers of 10:
[tex]\[ 10^3 \times 10^2 = 10^5 \][/tex]

So the multiplication result in scientific notation, expressed to the correct number of significant figures, is:
[tex]\[ (2.08 \times 10^3) \times (3.11 \times 10^2) = 6.469 \times 10^5 \][/tex]

To summarize, the solutions are:
[tex]\[ \frac{2.31}{0.790} = 2.924 \][/tex]
[tex]\[ (2.08 \times 10^3) \times (3.11 \times 10^2) = 6.469 \times 10^5 \][/tex]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.