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10/4/2022
Maths
Standard Form
Standard form is a mathematical method for expressing very large or small numbers efficiently, combining a number between 1 and 10 with powers of ten to represent values clearly and precisely.
Key points:
10/4/2022
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This page delves into the practical aspects of converting numbers between standard form and decimal notation, with particular emphasis on understanding powers of ten math and their applications.
Example: 9.72 × 10⁴ converts to 97,200 in decimal form, demonstrating how positive powers move digits left.
Highlight: When converting from standard form to decimal:
Definition: Powers of ten represent repeated multiplication or division by 10, such as 10² = 100 (10 squared) and 10³ = 1000 (10 cubed).
Vocabulary: Place holder zeros - zeros used to maintain correct place value when converting between number forms.
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Standard form is a mathematical method for expressing very large or small numbers efficiently, combining a number between 1 and 10 with powers of ten to represent values clearly and precisely.
Key points:
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This page delves into the practical aspects of converting numbers between standard form and decimal notation, with particular emphasis on understanding powers of ten math and their applications.
Example: 9.72 × 10⁴ converts to 97,200 in decimal form, demonstrating how positive powers move digits left.
Highlight: When converting from standard form to decimal:
Definition: Powers of ten represent repeated multiplication or division by 10, such as 10² = 100 (10 squared) and 10³ = 1000 (10 cubed).
Vocabulary: Place holder zeros - zeros used to maintain correct place value when converting between number forms.
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This page introduces the fundamental concepts of what is standard form in maths and its basic rules. The content explains how numbers are written in standard form using the format A × 10ⁿ, where A must be between 1 and 10, and n is an integer power.
Definition: Standard form, also known as scientific notation, is a method of writing numbers as A × 10ⁿ, where A is between 1 and 10, and n is an integer.
Example: The number 800,000 is written as 8 × 10⁵ in standard form, demonstrating how large numbers can be expressed more concisely.
Highlight: The power of ten (n) is positive for numbers greater than 10, zero for numbers between 1 and 10, and negative for numbers less than 1.
Vocabulary: Integer power - a whole number (positive or negative) used as an exponent.
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Students use Knowunity
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Students uploaded study notes
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Stefan S, iOS User
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