https://file.aiquickdraw.com/mathbot/file/17288601087449np5wzud.jpg

The image contains two scientific notation problems. Let's break them down and solve them one by one.

### 1. \( 1.1 \times 10^{-3} + 2.21 \times 10^{-2} \)

1. Convert the numbers to the same power of 10 to make addition easier. We can rewrite both terms with the same exponent:

   \[
   1.1 \times 10^{-3} = 0.0011
   \]
   \[
   2.21 \times 10^{-2} = 0.0221
   \]

2. Add these values:
   \[
   0.0011 + 0.0221 = 0.0232
   \]

3. Express the result back in scientific notation:
   \[
   0.0232 = 2.32 \times 10^{-2}
   \]

So, the solution to the first problem is:
\[
1.1 \times 10^{-3} + 2.21 \times 10^{-2} = 2.32 \times 10^{-2}
\]

### 2. \( 8.140 \times 10^8 - 6.68 \times 10^7 \)

1. Again, to simplify, convert both numbers to the same power of 10:
   \[
   8.140 \times 10^8 = 814.0 \times 10^7
   \]
   \[
   6.68 \times 10^7 = 6.68 \times 10^7
   \]

2. Now subtract the two:
   \[
   814.0 \times 10^7 - 6.68 \times 10^7 = (814.0 - 6.68) \times 10^7 = 807.32 \times 10^7
   \]

3. Express the result back in scientific notation:
   \[
   807.32 \times 10^7 = 8.0732 \times 10^9
   \]

So, the solution to the second problem is:
\[
8.140 \times 10^8 - 6.68 \times 10^7 = 8.0732 \times 10^8
\]

Would you like more details on any of the steps? Here are 5 related questions for you to explore:

1. How do you add or subtract numbers in scientific notation with different powers of 10?
2. How can you simplify scientific notation before solving operations?
3. What is the process for converting numbers into scientific notation after performing arithmetic operations?
4. Can you multiply and divide numbers in scientific notation using the same technique as addition and subtraction?
5. How do you handle very small or large numbers using scientific notation in everyday contexts?

**Tip:** Always ensure the exponents are the same before adding or subtracting numbers in scientific notation.

Calculate 1.1 x 10^-3 + 2.21 x 10^-2 and 8.140 x 10^8 - 6.68 x 10^7. Write the answers in scientific notation.

Learn how to solve scientific notation problems like 1.1 x 10^-3 + 2.21 x 10^-2 and 8.140 x 10^8 - 6.68 x 10^7 with detailed step-by-step solutions. This guide covers key concepts in scientific notation and arithmetic operations suitable for students in Grades 8-10.

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