Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.
Sagot :
To determine which of the given numbers is the smallest, we will convert each number from its scientific notation (standard form) into a comparable format and then compare them.
Here are the numbers given:
A. [tex]\(7.5 \times 10^{-4}\)[/tex]
B. [tex]\(2.9 \times 10^3\)[/tex]
C. [tex]\(4.5 \times 10^1\)[/tex]
D. [tex]\(3.2 \times 10^{-9}\)[/tex]
Convert each number into decimal form:
A. [tex]\(7.5 \times 10^{-4}\)[/tex]
- This means [tex]\(7.5\)[/tex] times [tex]\(0.0001\)[/tex], which equals [tex]\(0.00075\)[/tex].
B. [tex]\(2.9 \times 10^3\)[/tex]
- This is the same as [tex]\(2.9\)[/tex] times [tex]\(1000\)[/tex], which equals [tex]\(2900\)[/tex].
C. [tex]\(4.5 \times 10^1\)[/tex]
- This is equivalent to [tex]\(4.5\)[/tex] times [tex]\(10\)[/tex], which equals [tex]\(45\)[/tex].
D. [tex]\(3.2 \times 10^{-9}\)[/tex]
- This means [tex]\(3.2\)[/tex] times [tex]\(0.000000001\)[/tex], which equals [tex]\(0.0000000032\)[/tex].
Now, compare the values we have calculated:
- [tex]\(0.00075\)[/tex]
- [tex]\(2900\)[/tex]
- [tex]\(45\)[/tex]
- [tex]\(0.0000000032\)[/tex]
By comparison, the smallest value is:
[tex]\[ 0.0000000032 \][/tex]
Thus, the smallest number among the given options is:
[tex]\[ 3.2 \times 10^{-9} \][/tex]
So, the smallest number is option D.
Here are the numbers given:
A. [tex]\(7.5 \times 10^{-4}\)[/tex]
B. [tex]\(2.9 \times 10^3\)[/tex]
C. [tex]\(4.5 \times 10^1\)[/tex]
D. [tex]\(3.2 \times 10^{-9}\)[/tex]
Convert each number into decimal form:
A. [tex]\(7.5 \times 10^{-4}\)[/tex]
- This means [tex]\(7.5\)[/tex] times [tex]\(0.0001\)[/tex], which equals [tex]\(0.00075\)[/tex].
B. [tex]\(2.9 \times 10^3\)[/tex]
- This is the same as [tex]\(2.9\)[/tex] times [tex]\(1000\)[/tex], which equals [tex]\(2900\)[/tex].
C. [tex]\(4.5 \times 10^1\)[/tex]
- This is equivalent to [tex]\(4.5\)[/tex] times [tex]\(10\)[/tex], which equals [tex]\(45\)[/tex].
D. [tex]\(3.2 \times 10^{-9}\)[/tex]
- This means [tex]\(3.2\)[/tex] times [tex]\(0.000000001\)[/tex], which equals [tex]\(0.0000000032\)[/tex].
Now, compare the values we have calculated:
- [tex]\(0.00075\)[/tex]
- [tex]\(2900\)[/tex]
- [tex]\(45\)[/tex]
- [tex]\(0.0000000032\)[/tex]
By comparison, the smallest value is:
[tex]\[ 0.0000000032 \][/tex]
Thus, the smallest number among the given options is:
[tex]\[ 3.2 \times 10^{-9} \][/tex]
So, the smallest number is option D.
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.