https://file.aiquickdraw.com/mathbot/file/1725577737399vtbws00s.jpg

The problem asks to compare two numbers in scientific notation: 

\[
8 \times 10^{-3} \quad \text{and} \quad 8.6 \times 10^{-3}
\]

To determine which comparison sign makes the statement true, we can compare the two numbers directly. Both numbers have the same exponent \(10^{-3}\), so we only need to compare the coefficients (the numbers before the powers of 10):

\[
8 \quad \text{vs.} \quad 8.6
\]

Clearly, \(8 < 8.6\).

Thus, the correct comparison is:

\[
8 \times 10^{-3} < 8.6 \times 10^{-3}
\]

So, the answer is \(<\).

Would you like more details or have any questions? 

Here are 5 related questions you could explore:
1. How do you compare numbers in scientific notation with different exponents?
2. What are the rules for multiplying and dividing numbers in scientific notation?
3. How can you convert scientific notation into decimal form?
4. What is the importance of scientific notation in real-world applications?
5. How do you add and subtract numbers in scientific notation?

**Tip:** When comparing numbers in scientific notation, always start by comparing the exponents. If the exponents are the same, you can simply compare the coefficients.

Which sign makes the statement true? 8 x 10^-3 ? 8.6 x 10^-3

Understand how to compare two numbers in scientific notation: 8 x 10^-3 and 8.6 x 10^-3. Learn the step-by-step solution to determine the correct comparison sign. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation