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Questions and Answers
What is the result of $2 \times 100.5$?
What is the result of $2 \times 100.5$?
- 200 (correct)
- 210.5
- 300
- 201
The number 0.000045 can be written as $4.5 \times 10^{-5}$.
The number 0.000045 can be written as $4.5 \times 10^{-5}$.
True (A)
Convert 900,000 to standard form.
Convert 900,000 to standard form.
9 × 10^5
The ordinary form of $3.1 \times 10^2$ is _____ .
The ordinary form of $3.1 \times 10^2$ is _____ .
Match the following numbers with their standard form:
Match the following numbers with their standard form:
What denotes a number in standard form?
What denotes a number in standard form?
A number in standard form can have a negative exponent only if it represents a large number.
A number in standard form can have a negative exponent only if it represents a large number.
Write 0.000005 in standard form.
Write 0.000005 in standard form.
In standard form, if n is positive, it indicates a __________ number.
In standard form, if n is positive, it indicates a __________ number.
Which of the following is NOT in standard form?
Which of the following is NOT in standard form?
If you have the standard form 7.1 × 10², what is the ordinary number?
If you have the standard form 7.1 × 10², what is the ordinary number?
When the decimal point moves to the left in a number, n is __________.
When the decimal point moves to the left in a number, n is __________.
Flashcards
Standard Form
Standard Form
A way to write very large or very small numbers. It's written as 'a × 10n', where 'a' is between 1 and 10 (inclusive) and 'n' is an integer.
a × 10n
a × 10n
The standard form of a number, where 'a' is a number from 1 to 9.99 and 'n' is an integer showing the power of 10 and indicates the magnitude of the given number.
Positive 'n' in standard form
Positive 'n' in standard form
Indicates a large number, where the decimal point moves to the right (multiplication by increasing powers of 10).
Negative 'n' in standard form
Negative 'n' in standard form
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Writing 39,000 in Standard Form
Writing 39,000 in Standard Form
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Writing 3.2 × 102 as an ordinary number
Writing 3.2 × 102 as an ordinary number
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Writing 1.8 × 10-3 as an ordinary number
Writing 1.8 × 10-3 as an ordinary number
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Writing 0.0000467 in standard form
Writing 0.0000467 in standard form
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Scientific Notation Conversion
Scientific Notation Conversion
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Standard Form to Scientific Notation (Example: 7000)
Standard Form to Scientific Notation (Example: 7000)
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Scientific Notation to Standard Form (Example: 2 × 10⁷)
Scientific Notation to Standard Form (Example: 2 × 10⁷)
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Convert 31 × 10⁴ to standard form
Convert 31 × 10⁴ to standard form
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Convert 0.9 × 10⁻³ to standard form
Convert 0.9 × 10⁻³ to standard form
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Study Notes
Writing Numbers in Standard Form
- Standard form expresses very large or very small numbers concisely.
- The form is a x 10n, where:
- 'a' is a number greater than or equal to 1 and less than 10.
- 'n' is an integer (whole number).
- A positive 'n' indicates a large number, where the decimal point is moved to the right 'n' places.
- A negative 'n' indicates a small number, where the decimal point is moved to the left 'n' places.
Converting to Standard Form
- Identify the value for 'a' by placing the decimal point in the original number so that 'a' is between 1 and 10.
- Count the number of places the decimal point moved.
- This count is the value of 'n'.
- If the decimal point moved to the right, 'n' is positive.
- If the decimal point moved to the left, 'n' is negative.
Converting from Standard Form
- Determine the sign and value of 'n'.
- Move the decimal point in 'a' to the right if 'n' is positive.
- Move the decimal point in 'a' to the left if 'n' is negative.
- Add zeros as placeholders as needed.
Examples
- 39,000 = 3.9 x 104
- 0.0000467 = 4.67 x 10-5
- 3.2 x 102 = 320
- 1.8 x 10-3 = 0.0018
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