Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
We are given the expression:
[tex]\[ 1 \times 10^{-2} \quad \text{?} \quad 6.1 \times 10^{-2} \][/tex]
First, we need to convert both of these numbers from scientific notation to decimal form to make them easier to compare.
1. For [tex]\(1 \times 10^{-2}\)[/tex]:
[tex]\[ 1 \times 10^{-2} = 0.01 \][/tex]
2. For [tex]\(6.1 \times 10^{-2}\)[/tex]:
[tex]\[ 6.1 \times 10^{-2} = 0.061 \][/tex]
Now, we need to compare these two decimal numbers:
[tex]\[ 0.01 \quad \text{?} \quad 0.061 \][/tex]
Next, let's determine which decimal is smaller or larger by comparing their values:
- [tex]\(0.01\)[/tex] is less than [tex]\(0.061\)[/tex].
Hence, the appropriate inequality sign that makes the statement true is:
[tex]\[ 0.01 < 0.061 \][/tex]
Thus, the correct answer is:
[tex]\[ 1 \times 10^{-2} < 6.1 \times 10^{-2} \][/tex]
Therefore, the sign that makes the statement true is:
[tex]\[ < \][/tex]
[tex]\[ 1 \times 10^{-2} \quad \text{?} \quad 6.1 \times 10^{-2} \][/tex]
First, we need to convert both of these numbers from scientific notation to decimal form to make them easier to compare.
1. For [tex]\(1 \times 10^{-2}\)[/tex]:
[tex]\[ 1 \times 10^{-2} = 0.01 \][/tex]
2. For [tex]\(6.1 \times 10^{-2}\)[/tex]:
[tex]\[ 6.1 \times 10^{-2} = 0.061 \][/tex]
Now, we need to compare these two decimal numbers:
[tex]\[ 0.01 \quad \text{?} \quad 0.061 \][/tex]
Next, let's determine which decimal is smaller or larger by comparing their values:
- [tex]\(0.01\)[/tex] is less than [tex]\(0.061\)[/tex].
Hence, the appropriate inequality sign that makes the statement true is:
[tex]\[ 0.01 < 0.061 \][/tex]
Thus, the correct answer is:
[tex]\[ 1 \times 10^{-2} < 6.1 \times 10^{-2} \][/tex]
Therefore, the sign that makes the statement true is:
[tex]\[ < \][/tex]
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.