Thank you for visiting Choose the correct standard form A tex 2 31002 times 10 4 tex B 0 00231002 C 0 0000231002 D 0 000231002 E 23 100. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Sure! Let's break down how to choose the correct standard form for the number [tex]\(2.31002 \times 10^{-4}\)[/tex].
### Understanding Standard Form:
Standard form for a number in scientific notation [tex]\(a \times 10^n\)[/tex], where:
- [tex]\(a\)[/tex] is a number greater than or equal to 1 and less than 10.
- [tex]\(n\)[/tex] is an integer that shows the power of 10 by which the number [tex]\(a\)[/tex] should be multiplied.
In this case, [tex]\(a = 2.31002\)[/tex] and [tex]\(n = -4\)[/tex].
### Step-by-Step Solution:
1. Interpreting the Power of 10:
The exponent [tex]\(-4\)[/tex] indicates that we need to move the decimal point 4 places to the left.
2. Moving the Decimal Point:
Start with [tex]\(2.31002\)[/tex]. Moving the decimal point 4 places to the left:
[tex]\[
2.31002 \rightarrow 0.231002 \rightarrow 0.0231002 \rightarrow 0.00231002 \rightarrow 0.000231002
\][/tex]
3. Comparing with Given Options:
Now, let's compare this number with the given choices:
- 0.00231002
- 0.0000231002
- 0.000231002
- [tex]\(-23,100.2\)[/tex]
e. Among these options, 0.000231002 is the correct representation of [tex]\(2.31002 \times 10^{-4}\)[/tex].
So, the correct standard form is:
[tex]\[
\boxed{0.000231002}
\][/tex]
It's important to understand how we move the decimal point according to the power of 10 in scientific notation. Each negative exponent means moving the decimal point to the left.
I hope this makes it clear! If you have any other questions, feel free to ask!
### Understanding Standard Form:
Standard form for a number in scientific notation [tex]\(a \times 10^n\)[/tex], where:
- [tex]\(a\)[/tex] is a number greater than or equal to 1 and less than 10.
- [tex]\(n\)[/tex] is an integer that shows the power of 10 by which the number [tex]\(a\)[/tex] should be multiplied.
In this case, [tex]\(a = 2.31002\)[/tex] and [tex]\(n = -4\)[/tex].
### Step-by-Step Solution:
1. Interpreting the Power of 10:
The exponent [tex]\(-4\)[/tex] indicates that we need to move the decimal point 4 places to the left.
2. Moving the Decimal Point:
Start with [tex]\(2.31002\)[/tex]. Moving the decimal point 4 places to the left:
[tex]\[
2.31002 \rightarrow 0.231002 \rightarrow 0.0231002 \rightarrow 0.00231002 \rightarrow 0.000231002
\][/tex]
3. Comparing with Given Options:
Now, let's compare this number with the given choices:
- 0.00231002
- 0.0000231002
- 0.000231002
- [tex]\(-23,100.2\)[/tex]
e. Among these options, 0.000231002 is the correct representation of [tex]\(2.31002 \times 10^{-4}\)[/tex].
So, the correct standard form is:
[tex]\[
\boxed{0.000231002}
\][/tex]
It's important to understand how we move the decimal point according to the power of 10 in scientific notation. Each negative exponent means moving the decimal point to the left.
I hope this makes it clear! If you have any other questions, feel free to ask!
Thank you for reading the article Choose the correct standard form A tex 2 31002 times 10 4 tex B 0 00231002 C 0 0000231002 D 0 000231002 E 23 100. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
- You are operating a recreational vessel less than 39 4 feet long on federally controlled waters Which of the following is a legal sound device
- Which step should a food worker complete to prevent cross contact when preparing and serving an allergen free meal A Clean and sanitize all surfaces
- For one month Siera calculated her hometown s average high temperature in degrees Fahrenheit She wants to convert that temperature from degrees Fahrenheit to degrees
Rewritten by : Jeany
