It looks like you mentioned uploading an image with a task, but I don’t have access to images or files. However, based on your description, it seems the image contains a worksheet titled
"Scientific Notation | Addition & Subtraction" with problems involving adding and subtracting numbers in scientific notation.
Since I can't view the image, I’ll help you solve
typical problems of this type and explain the process step-by-step. If you can provide the actual problems (by typing them out), I can solve those specifically.
But here’s how to approach
addition and subtraction in scientific notation:
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🔧 Rules for Adding/Subtracting in Scientific Notation
1.
Make sure the exponents are the same
→ If they're not, adjust one or both numbers so that they have the same power of 10.
2.
Add or subtract the coefficients
→ Only the decimal parts (the numbers before ×10^n) are added/subtracted.
3.
Keep the common exponent
→ After addition/subtraction, keep the same power of 10.
4.
Convert back to proper scientific notation if needed
→ The coefficient should be between 1 and 10.
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✔ Example Problem:
Let’s say one problem is:
> Add: \( 3.2 \times 10^5 + 4.7 \times 10^5 \)
Step 1: Exponents are the same (both \(10^5\)), so we can add directly.
Step 2: Add coefficients:
\[
3.2 + 4.7 = 7.9
\]
Step 3: Keep the exponent:
\[
7.9 \times 10^5
\]
✔ Final Answer: \( 7.9 \times 10^5 \)
---
✘ Example with Different Exponents:
> Subtract: \( 6.8 \times 10^4 - 2.3 \times 10^3 \)
Step 1: Exponents differ. Make them the same.
We can rewrite \( 6.8 \times 10^4 \) as \( 68 \times 10^3 \) (move decimal right, decrease exponent by 1).
Now:
\[
68 \times 10^3 - 2.3 \times 10^3 = (68 - 2.3) \times 10^3 = 65.7 \times 10^3
\]
Step 2: Convert to proper scientific notation:
\[
65.7 \times 10^3 = 6.57 \times 10^4
\]
✔ Final Answer: \( 6.57 \times 10^4 \)
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📝 Tips:
- Always align exponents first.
- Use parentheses when working with decimals.
- Double-check that your final answer is in standard scientific notation (coefficient between 1 and 10).
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👉 If you can type out the specific problems from your worksheet, I’ll solve each one for you with full explanations!
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting in scientific notation worksheet.
