Page 2: Converting Between Standard Form and Decimal Numbers

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:

• Positive powers move digits left
• Negative powers move digits right
• Zero power leaves the number unchanged

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.

Page 1: Introduction to Standard Form

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.