Maths Unit 15 – Indices and Standard Form

Slides:



Advertisements
Similar presentations
Lesson 5.07 Basic Exponents
Advertisements

7.1 – Radicals Radical Expressions
Solving Equations by Extracting Roots
Inverse Operations ExpressionInverse Operation How do you get the variable by itself? x + 5 x x x ÷ 20 x3x3.
Exponents and Squares Numbers and Operations. Exponents and Powers Power – the result of raising a base to an exponent. Ex. 3 2 Base – the number being.
Powers and Square Roots. Powers Sometimes numbers multiply themselves a few times for example 3×3×3×3×3.
1 ALGEBRA 1B UNIT 8 Multiplication Property of Exponents DAY 2.
Math – Multiplying and Simplifying Radical Expressions 1.
Square Root The square root of a nonnegative number is a number that, when multiplied by itself, is equal to that nonnegative number. Square roots have.
Sección Europea IES Izpisúa Belmonte.. DEFINITION. Powers are used to describe the result of repeatedly multiplying a number by itself. a·a·a = a 3 The.
Powers and roots. Square each number a) 7 b) 12 c) 20 d) 9 e) 40 a) 49 b) 144 c) 400 d) 81 e) 1600.
Multiples and Factors.
The #’s 1, 4, 9, 16, 25.…are called. The #’s 1, 4, 9, 16, 25.…are called perfect squares / square numbers.
Squares and Square Roots Year 6/7. Square Numbers How to Square A Number To square a number, just multiply it by itself... Example: What is 3 squared?
Essential Question? How can you use exponents to represent repeated multiplication of the same number? We know how to use repeated addition:
Copyright © Cengage Learning. All rights reserved. Functions 1 Basic Concepts.
Vocabulary Square Root: If A = s 2, then s is a ____________________ of A. example: 25 = 5 2, 5 is a square root of 25 Cube Root: If V = s 3, then s is.
Simplifying Radicals. SWBAT –Simplify Square Root Radicals Warm – Up Identify the perfect square in each set
14.0 Math Review 14.1 Using a Calculator Calculator
Today we will understand how to identify, read, and write positive integer powers of nonnegative integers. Identify=to point out Positive integer=whole.
Exponents Math 7 Powerpoint. Location of Exponent An An exponent is a little number high and to the right of a regular or base number. 3 4 Base Exponent.
Simplifying Square and Cube Roots Objective: To simplify and estimate the value of square and cube roots.
Square and Square Roots; Cubes and Cube Roots
DEFINING, REWRITING, AND EVALUATING RATIONAL EXPONENTS (1.1.1)
7.1 – Radicals Radical Expressions
INDICES 2.
Exponents.
Simplify each expression:
Nth roots and Rational Exponents
Aim: How Do We Simplify Radicals?
25 Math Review Part 1 Using a Calculator
Square numbers When we multiply a number by itself we say that we are squaring the number. To square a number we can write a small 2 after it. For example,
Write each fraction as a decimal.
Multiplying and Dividing Powers
Evaluate nth Roots and Use Rational Exponents
Radicals and Rational Exponents
Stand Quietly.
Unit 3B Radical Expressions and Rational Exponents
Radicals Radical Expressions
Square and Cube Numbers
Algebra 1 Section 1.7.
MATH TERMS Terms we need to know!.
8.1 Introduction to Radicals
Square Root.
Warm-Up #5 Tuesday, 2/9/2016 Find possible domain for f x = 3
Rational Exponents Section 7.4 1/15/ :58 AM
1. What is the difference between simplifying an expression and solving an expression? 2. -(3x+5)-4x x-7=13 4. x/2 +4 =16 5. Write the following.
Laws of Indices Given by Ms Sheema For Class 8.
Rational and Irrational Numbers
Powers and Exponents, Square Roots
Squares and square roots
Square and Cube Roots Roots and Radicals.
Exponents and Order of Operations
7.1 – Radicals Radical Expressions
7.2 Cube Roots Essential Question:
Objective: To simplify expressions involving exponents
Pre-Algebra Roots and Radicals.
Roots, Radicals, and Complex Numbers
Exponents!.
Square Roots and Cubes Roots of Whole Numbers
Exponents.
Radicals Simplifying.
INDICES 2.
GOOD MORNING SCHOLARS Get a breakfast pass, use the restroom by the media center and go to your locker. Once in the classroom you are to remain seated.
Exponents- the basics.
Maths Unit 2 - Multiples, factors & primes
7.1 – Radicals Radical Expressions
Write each fraction as a decimal.
Maths Unit 7 - Multiples, Factors, Primes & Negatives
Presentation transcript:

Maths Unit 15 – Indices and Standard Form Square rooting a number is the inverse operation to squaring a number. Cube rooting a number is the inverse operation to cubing a number. Working with negative powers To simplify a number with a negative power you follow this rule. Cube Roots E.g. 5 −2 can be simplified to 1 25 Standard Form Standard form is a general way of writing very large and very small numbers in a uniform way. It is written as a number between 1 and 10 multiplied by a power of 10. Key words and definitions Square number - the product of a number multiplied by itself, e.g. 1, 4, 9, 16. Square root - The square root of a number is a value that, when multiplied by itself, gives the number, e.g. 4 × 4 = 16, so a square root of 16 is 4 Cube number - The result of using a whole number in a multiplication three times, e.g. 3 × 3 × 3 = 27, so 27 is a cube number. Cube Root -  cube root of a number is a special value that, when used in a multiplication three times, gives that number, e.g. 3 × 3 × 3 = 27, so the cube root of 27 is 3 Exponent / Power / Indice The exponent/power or indice of a number says how many times to use that number in a multiplication. It is written as a small number to the right and above the base number.