Practice Objectives
- Demonstrate the ability to write a number in scientific notation
- Demonstrate the ability to convert scientific notation to standard form
Practice Working with Numbers in Scientific Notation
Instructions:
Answer 7/10 questions correctly to pass.
Problem:
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Writing a Number in Scientific Notation:
- Move the decimal point to the right of the first nonzero digit
- Count the number of places the decimal point was moved
- This will be the absolute value of the exponent on 10
- The exponent on 10 will be positive if the original number is greater than the number in step 1
- The exponent on 10 will be negative if the original number is less than the number in step 1
- If the decimal point was not moved in step 1, the exponent on 10 is 0
Converting from Scientific Notation to Standard Form:
- Use the exponent on 10 to decide how many places to move the decimal point in the decimal 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
- After adjusting the decimal point, remove the × 10n part
Step-by-Step:
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Your answer should be a number!
$$a \, × \, 10^{n}$$
$$a = $$
$$n = $$
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