Index notation LO:-To understand and be able to use cubes of numbers, index notation and other integer powers.

Slides:

Advertisements

Similar presentations

Square Roots When working a square root problem, ask: “What times itself is the number inside the root symbol?” because 3 times 3 is 9 because.

Advertisements

PRODUCT OF PRIME FACTORS. Product of Prime Factors ANY whole number can be broken down and written as a Product of Prime Factors What is a PRIME FACTOR.

KS3 Mathematics N4 Powers and roots

By:Lili Exponential notation is useful in situations where the same number is multiplied repeatedly. The number being multiplied is the base and the.

Nth Root and Rational Exponents Section 7.1. WHAT YOU WILL LEARN: 1.How to evaluate nth roots of real numbers using both radical notation and rational.

Square and Square Roots; Cubes and Cube Roots

Exponent base power squared cubed 2 2 = 4 2 x 2 = = x 5 x 5 = 125.

Exponents 3² Mrs. 3 × Mrs. 3 3 × 3 3².

GLE * Use exponents In order of operations. SPI *Use order of operations to simplify expressions and solve problems EXPONENTS.

Turning words into math. * u squared plus 3 * Identify the variable * Look at the words “squared” & “plus” * Think how can “squared” be notated * “plus”

CHAPTER 5 Working With Number.

MATHEMATICS Types of Number – Indices. Aims of the Lesson To learn about indices.

Interactive Math Note Book

Unit 6 Indices and Factors Presentation 1Square and Square Roots Presentation 2Cube and Cube Roots Presentation 3Index Notation Presentation 4Rules of.

MODULE 1: LESSON 1 EXPONENTIAL NOTATION The Square of a number, is a base to the power of 2. EX: 4x4 = 4 The cube of a number, is the base to the power.

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.

8-3 Comparing Real Numbers

WARM UP Scientific Notation GOAL Read and write numbers in scientific notation. KEY WORDS Scientific Notation.

Exponents An exponent is the number of times the base is multiplied by itself. Example 27 can also be written as 3 This means 3 X 3 X 3.

1. Scientific Notation Every positive number X can be written as:

6.22 positive exponents, perfect squares, square roots, and for numbers greater than 10, scientific notation. Calculators will be used.

Saturday, 09 September 2006 ©RSH Number Square and Cube Numbers.

Powers and Exponents. A power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent,

Chapter 8.1.  Lesson Objective: NCSCOS 1.01 – Write the equivalent forms of algebraic expressions to solve problems  Students will know how to apply.

Sign Change Re-cap Show that each of the following have a solution for x: 1.The intersection of (between 1.8 and 1.9) and 2.The intersection of(between.

8.4 Use Scientific Notation Algebra. Scientific Notation Numbers such as 1,000,000, 153,000 and are written in standard form. Another way to write.

Eg1. A square We say that a square has… It fits on itself 4 times back.

Cubes and Cube Roots Wednesday, February 25 th. Objective The student will be able to simplify a cube root.

MTH 3-06a 10-Jan-16Compiled by Mr. Lafferty Maths Dept. Powers & Roots Squares, Cubes and Powers (Indices) Square Roots and Cube.

Notes 2.1 and 2.2 LOOKING FOR SQUARES AND SQUARE ROOTS.

WARM UP Zero and Negative Exponents EXPONENTIAL TERMS xyxy base exponent.

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?

Numbers Properties Learning Objective: Recognise and use multiples, factors, common factor, highest common factor, lowest common multiple and primes; find.

How else can we find them? What are they? EMERGING Due: Friday 11 th December Circle the square numbers.

1.3 Squares and Square Roots Mme DiMarco.  Learning Goal: How to find squares and square roots of whole numbers. Learning Goal.

Location of Exponent An An exponent is the small number high and to the right of a regular or base number. 3 4 Base Exponent.

6.5 The student will investigate and describe concepts of positive exponents and perfect squares. Calculators will be used.

Location of Exponent An exponent is the small number high and to the right of a regular or base number. 3 4 Base Exponent.

Essential Question? How can you use exponents to represent repeated multiplication of the same number? We know how to use repeated addition:

FACTORS and MULTIPLES TOPIC: 1.

Exponents By Monica Yuskaitis. 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.

Multiplying Polynomials

Square and Square Roots; Cubes and Cube Roots

Multiplying with exponents

Chapter 1, Lesson 1A Pages 25-28

Activity based around:

Compiled by Mr. Lafferty Maths Dept.

Index notation Mathematicians have a special shorthand way of writing some multiplication calculations. The small numbers are called index numbers or powers.

Simplifying Rational Expressions

Simplify 2m( 3 2 m+1)+3( 5 3 m-2) A.)3m2+5m-1 B.) 3 4 m m-6 C.) 3m2+7m-6 D.) 3 4 m m-1.

Evaluate nth Roots and Use Rational Exponents

©2009 – Not to be sold/Free to use

©2009 – Not to be sold/Free to use

Square and Cube Numbers

Evaluate nth Roots and Use Rational Exponents

Exponents and Scientific Notation

Choose the best answer for each problem.

Cubes and cube roots.

Objective The student will be able to:

7.2 Cube Roots Essential Question:

Index Notation.

N4 Powers and Roots Contents N4.1 Square and triangular numbers

Multiplying Polynomials

Starter: There are 25 prime numbers under 100.

9 x 14 9 x 12 Calculate the value of the following: 1 7 × 5 =

Presentation transcript:

Index notation LO:-To understand and be able to use cubes of numbers, index notation and other integer powers

Squares and cubes The square of a number is the number multiplied by itself. E.G 3 x 3 = 9 The cube of a number is that number multiplied by itself and then by itself again 3cm 3 cm 3cm 3cm 3cm

Squares and cubes A squared number is written 3 A cubed number is written Write in your books the squares of numbers 1-15 The cubes of numbers 1-5 and 10

Using index notation 5x5=5² 5x5x5=5³ 5x5x5x5= 5x5x5x5x5= 5x5x5x5x5x5= We have written the product as a power of 5. The power is often called the index. We say that numbers are written using index notation

Your turn Answer question page 25 Exercise 3.1 1,2,3 and 4

Using your calculator Work out these 15³ 6 to the power of 5 Find the power button on your calculator it may look like this Λ

Your turn Exercise 3.2 Question 1-8 a,c,e only Question 9 Question 12 and 14 Page 28 Challenge

Key ideas The cube of a number is the number multiplied by itself and then by itself again. Numbers can be written using index notation, for example 2³ means 2x2x2 You can use the power button on your calculator to work out any power of any number