Answered

Explore IDNLearn.com to discover insightful answers from experts and enthusiasts alike. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.

How would you write the following number in scientific notation?

A. [tex]\(56 \times 10^{4}\)[/tex]
B. [tex]\(56 \times 10^{-4}\)[/tex]
C. [tex]\(5.6 \times 10^{5}\)[/tex]
D. [tex]\(5.6 \times 10^{-5}\)[/tex]
E. [tex]\(50 \times 10^{5}\)[/tex]
F. [tex]\(5.60 \times 10^{-5}\)[/tex]

Sagot :

GinnyAnsweridn
To convert each of these numbers into standard numerical form, we will follow the rules of scientific notation, which express numbers in the form [tex]\( a \times 10^{n} \)[/tex], where [tex]\( 1 \leq a < 10 \)[/tex] and [tex]\( n \)[/tex] is an integer. Let's go through each number step-by-step.

1. [tex]\( 56 \times 10^{4} \)[/tex]
- To convert this to standard form, multiply 56 by [tex]\( 10^{4} \)[/tex] (which is 10,000).
- Calculation: [tex]\( 56 \times 10,000 = 560,000 \)[/tex]

2. [tex]\( 56 \times 10^{-4} \)[/tex]
- To convert this to standard form, multiply 56 by [tex]\( 10^{-4} \)[/tex] (which is 0.0001).
- Calculation: [tex]\( 56 \times 0.0001 = 0.0056 \)[/tex]

3. [tex]\( 5.6 \times 10^{5} \)[/tex]
- To convert this to standard form, multiply 5.6 by [tex]\( 10^{5} \)[/tex] (which is 100,000).
- Calculation: [tex]\( 5.6 \times 100,000 = 560,000 \)[/tex]

4. [tex]\( 5.6 \times 10^{-5} \)[/tex]
- To convert this to standard form, multiply 5.6 by [tex]\( 10^{-5} \)[/tex] (which is 0.00001).
- Calculation: [tex]\( 5.6 \times 0.00001 = 0.000056 \)[/tex]

Note: [tex]\( 0.000056 \)[/tex] is often written in scientific notation as [tex]\( 5.6 \times 10^{-5} \)[/tex], so this value can remain in its current form.

5. [tex]\( 50 \times 10^{5} \)[/tex]
- To convert this to standard form, multiply 50 by [tex]\( 10^{5} \)[/tex] (which is 100,000).
- Calculation: [tex]\( 50 \times 100,000 = 5,000,000 \)[/tex]

6. [tex]\( 5.60 \times 10^{-5} \)[/tex]
- To convert this to standard form, multiply 5.60 by [tex]\( 10^{-5} \)[/tex] (which is 0.00001).
- Calculation: [tex]\( 5.60 \times 0.00001 = 0.000056 \)[/tex]

Similar to number 4, [tex]\( 0.000056 \)[/tex] is often written in scientific notation as [tex]\( 5.60 \times 10^{-5} \)[/tex], so this value can also remain in its current form.

Putting it all together, the standard forms for the given numbers are:
1. [tex]\( 56 \times 10^{4} = 560,000 \)[/tex]
2. [tex]\( 56 \times 10^{-4} = 0.0056 \)[/tex]
3. [tex]\( 5.6 \times 10^{5} = 560,000 \)[/tex]
4. [tex]\( 5.6 \times 10^{-5} = 0.000056 \)[/tex]
5. [tex]\( 50 \times 10^{5} = 5,000,000 \)[/tex]
6. [tex]\( 5.60 \times 10^{-5} = 0.000056 \)[/tex]
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.