It looks like you mentioned uploading an image with a task, but I don’t see the image attached. However, based on your description, it seems the task involves
solving problems related to scientific notation, specifically
addition and subtraction.
Since I can't view the image, I’ll provide a general guide on how to solve such problems and walk through a few example problems that are typical of this type of worksheet.
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🔢 Scientific Notation: Addition & Subtraction
To add or subtract numbers in scientific notation:
1.
Make sure both numbers have the same exponent (power of 10).
2.
Add or subtract the coefficients (the numbers in front).
3.
Keep the common power of 10.
4.
If needed, adjust the result to proper scientific notation (i.e., coefficient between 1 and 10).
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✔ Example Problems
Let’s work through some sample problems similar to what might be on your worksheet.
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####
Problem 1:
Simplify: $ 3.2 \times 10^5 + 4.7 \times 10^5 $
- Both have $ 10^5 $, so we can add the coefficients:
$$
(3.2 + 4.7) \times 10^5 = 7.9 \times 10^5
$$
✔ Answer: $ 7.9 \times 10^5 $
---
####
Problem 2:
Simplify: $ 6.8 \times 10^3 - 2.4 \times 10^3 $
- Same exponent ($10^3$), so subtract:
$$
(6.8 - 2.4) \times 10^3 = 4.4 \times 10^3
$$
✔ Answer: $ 4.4 \times 10^3 $
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####
Problem 3:
Simplify: $ 5.1 \times 10^4 + 3.2 \times 10^3 $
- Different exponents! Adjust one number to match the other.
- Convert $ 3.2 \times 10^3 $ to $ 0.32 \times 10^4 $
$$
5.1 \times 10^4 + 0.32 \times 10^4 = (5.1 + 0.32) \times 10^4 = 5.42 \times 10^4
$$
✔ Answer: $ 5.42 \times 10^4 $
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####
Problem 4:
Simplify: $ 8.7 \times 10^6 - 2.3 \times 10^5 $
- Make exponents the same: convert $ 2.3 \times 10^5 $ to $ 0.23 \times 10^6 $
$$
8.7 \times 10^6 - 0.23 \times 10^6 = (8.7 - 0.23) \times 10^6 = 8.47 \times 10^6
$$
✔ Answer: $ 8.47 \times 10^6 $
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####
Problem 5:
Simplify: $ 9.2 \times 10^{-2} + 4.5 \times 10^{-3} $
- Convert $ 4.5 \times 10^{-3} $ to $ 0.45 \times 10^{-2} $
$$
9.2 \times 10^{-2} + 0.45 \times 10^{-2} = (9.2 + 0.45) \times 10^{-2} = 9.65 \times 10^{-2}
$$
✔ Answer: $ 9.65 \times 10^{-2} $
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📌 Key Tips:
- Always align the powers of 10 before adding/subtracting.
- If the result has a coefficient not between 1 and 10, adjust it by changing the exponent accordingly.
- Watch out for negative exponents — they represent small numbers.
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If you can
describe the exact problems from your worksheet (or paste them here), I can solve them step-by-step for you.
Alternatively, if you’re able to upload the image again, I’d be happy to help interpret and solve it directly!
Parent Tip: Review the logic above to help your child master the concept of addition scientific notation worksheet.