Let's solve each part of the assignment step by step.
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Part 1: Write the following scientific notation as ordinary numbers.
To convert from scientific notation to an ordinary number:
- If the exponent is
positive, move the decimal point to the
right.
- If the exponent is
negative, move the decimal point to the
left.
---
(i) $ 4.32 \times 10^8 $
- Move the decimal 8 places to the right:
- $ 4.32 \rightarrow 432,000,000 $
-
Answer: $ 432,000,000 $
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(ii) $ 1.05 \times 10^4 $
- Move the decimal 4 places to the right:
- $ 1.05 \rightarrow 10,500 $
-
Answer: $ 10,500 $
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(iii) $ 8.231 \times 10^{10} $
- Move the decimal 10 places to the right:
- $ 8.231 \rightarrow 82,310,000,000 $
-
Answer: $ 82,310,000,000 $
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(iv) $ 2.31 \times 10^{-4} $
- Move the decimal 4 places to the
left:
- $ 2.31 \rightarrow 0.000231 $
-
Answer: $ 0.000231 $
---
(v) $ 7 \times 10^5 $
- Move the decimal 5 places to the right (add zeros):
- $ 7 \rightarrow 700,000 $
-
Answer: $ 700,000 $
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Part 2: Write the following numbers in scientific notation form.
To write a number in scientific notation:
- Move the decimal so that there’s only
one non-zero digit to the left of the decimal.
- Count how many places you moved the decimal → that’s the exponent.
- If you moved left, exponent is
positive; if right, exponent is
negative.
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(i) $ 523,000 $
- Move decimal 5 places to the left: $ 5.23 $
- So, $ 5.23 \times 10^5 $
-
Answer: $ 5.23 \times 10^5 $
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(ii) $ 290,000,000 $
- Move decimal 8 places to the left: $ 2.9 $
- So, $ 2.9 \times 10^8 $
-
Answer: $ 2.9 \times 10^8 $
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(iii) $ 0.00056 $
- Move decimal 4 places to the right: $ 5.6 $
- Since we moved right, exponent is negative: $ 5.6 \times 10^{-4} $
-
Answer: $ 5.6 \times 10^{-4} $
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(iv) $ 0.00008 $
- Move decimal 5 places to the right: $ 8 $
- So, $ 8 \times 10^{-5} $
-
Answer: $ 8 \times 10^{-5} $
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(v) $ 0.000152 $
- Move decimal 4 places to the right: $ 1.52 $
- So, $ 1.52 \times 10^{-4} $
-
Answer: $ 1.52 \times 10^{-4} $
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✔ Final Answers:
#### Part 1: Scientific to Ordinary
(i) $ 432,000,000 $
(ii) $ 10,500 $
(iii) $ 82,310,000,000 $
(iv) $ 0.000231 $
(v) $ 700,000 $
#### Part 2: Ordinary to Scientific Notation
(i) $ 5.23 \times 10^5 $
(ii) $ 2.9 \times 10^8 $
(iii) $ 5.6 \times 10^{-4} $
(iv) $ 8 \times 10^{-5} $
(v) $ 1.52 \times 10^{-4} $
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Parent Tip: Review the logic above to help your child master the concept of writing numbers in scientific notation worksheet.
