Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
To solve the given problem, we'll break it down into two parts.
### Part 1: Multiplication and Scientific Notation
First, we want to compute the product of two numbers expressed in scientific notation:
[tex]\[ (1.20 \times 10^4) \times (2.152 \times 10^2) \][/tex]
1. Multiply the coefficients:
[tex]\[ 1.20 \times 2.152 = 2.5824 \][/tex]
2. Add the exponents:
[tex]\[ 10^4 \times 10^2 = 10^{4+2} = 10^6 \][/tex]
Thus, the product can be expressed as:
[tex]\[ (1.20 \times 10^4) \times (2.152 \times 10^2) = 2.5824 \times 10^6 \][/tex]
To check the original multiplication without considering scientific notation:
1. [tex]\[ 1.20 \times 10^4 = 12000 \][/tex]
2. [tex]\[ 2.152 \times 10^2 = 215.2 \][/tex]
3. [tex]\[ 12000 \times 215.2 = 2582400.0 \][/tex]
Therefore:
[tex]\[ 2582400.0 = 2.5824 \times 10^6 \][/tex]
We find that \( C = 2.5824 \).
### Part 2: Division
Second, we need to calculate the division:
[tex]\[ \frac{208}{5.3} \][/tex]
Perform the division:
[tex]\[ \frac{208}{5.3} \approx 39.24528301886792 \][/tex]
Thus, the steps give the final answers:
1. \((1.20 \times 10^4) \times (2.152 \times 10^2) = 2.5824 \times 10^6\)
2. \(\frac{208}{5.3} \approx 39.24528301886792\)
Conclusively, filling in the squares, we get:
[tex]\[ \begin{array}{l} (1.20 \times 10^4) \times (2.152 \times 10^2) = 2.5824 \times 10^6 \\ \frac{208}{5.3} = 39.24528301886792 \end{array} \][/tex]
### Part 1: Multiplication and Scientific Notation
First, we want to compute the product of two numbers expressed in scientific notation:
[tex]\[ (1.20 \times 10^4) \times (2.152 \times 10^2) \][/tex]
1. Multiply the coefficients:
[tex]\[ 1.20 \times 2.152 = 2.5824 \][/tex]
2. Add the exponents:
[tex]\[ 10^4 \times 10^2 = 10^{4+2} = 10^6 \][/tex]
Thus, the product can be expressed as:
[tex]\[ (1.20 \times 10^4) \times (2.152 \times 10^2) = 2.5824 \times 10^6 \][/tex]
To check the original multiplication without considering scientific notation:
1. [tex]\[ 1.20 \times 10^4 = 12000 \][/tex]
2. [tex]\[ 2.152 \times 10^2 = 215.2 \][/tex]
3. [tex]\[ 12000 \times 215.2 = 2582400.0 \][/tex]
Therefore:
[tex]\[ 2582400.0 = 2.5824 \times 10^6 \][/tex]
We find that \( C = 2.5824 \).
### Part 2: Division
Second, we need to calculate the division:
[tex]\[ \frac{208}{5.3} \][/tex]
Perform the division:
[tex]\[ \frac{208}{5.3} \approx 39.24528301886792 \][/tex]
Thus, the steps give the final answers:
1. \((1.20 \times 10^4) \times (2.152 \times 10^2) = 2.5824 \times 10^6\)
2. \(\frac{208}{5.3} \approx 39.24528301886792\)
Conclusively, filling in the squares, we get:
[tex]\[ \begin{array}{l} (1.20 \times 10^4) \times (2.152 \times 10^2) = 2.5824 \times 10^6 \\ \frac{208}{5.3} = 39.24528301886792 \end{array} \][/tex]
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.