Multiples and Factors.

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

Start Bellwork #. Chapter 11-1 p.560 Square Roots and Irrational Numbers.

What does it mean when we see numbers written like this: 4²10² 9² Since our exponent is 2, it means that we multiply the number by itself! So we have.

Warm Up Simplify each expression. 1. 6²

Objectives Evaluate expressions containing square roots.

Square and Square Roots; Cubes and Cube Roots

1.4-5: Multiplying Integers: Basic Rules. Ways to Express multiplication Remember: All of these mean the same thing: Five times four 5 × 4 5 · 4 5(4)

Section 5.4 Imaginary and Complex Numbers

What do the following numbers have in common? 36, 25, 49, 9, 4, 16, 64, 81.

Squares and square roots

5.6 Complex Numbers. Solve the following quadratic: x = 0 Is this quadratic factorable? What does its graph look like? But I thought that you could.

5-6: Complex Numbers Day 1 (Essential Skill Review)

Multiplying Rational Numbers Essential Question: How do you multiply rational numbers? Unit 1-4.

Solving Equations with Exponents and Radicals Intro to Algebra.

Working with Negative Exponents When working with negative exponents, move the variable and change the exponent to positive.

Order of Operations REVIEW CONCEPTS. Why is order important?

Unit 1 Vocabulary Kevin Gruich. Composite Number.

 Real Numbers- any numbers that are real.  Rational Numbers- is a number where two numbers that can be written as a fraction.  Integers-can be written.

9.1 To evaluate square roots Objective Part I Evaluating Square Roots

11.2A Simplify and Multiply Square Roots. Squaring a Number When a number is squared, it is multiplied to itself: Notice squaring any number.

© T Madas. Fill in this negative multiplication table. [the numbers multiplied are all whole negative & positive numbers]

Ch 9: Quadratic Equations A) Simplifying Radicals Objective: To simplify radical expressions.

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.

Using square roots to solve quadratic equations. 2x² = 8 22 x² = 4 The opposite of squaring a number is taking its square root √ 4= ± 2.

To simplify radicals: look for a square factor or a pair of factors.

9.1 Notes Geometric Mean. 9.1 Notes Arithmetic mean is another term that means the same thing as average. The second do now question could have been,

Squares & Square Roots. Squares 3 We say, “Three squared is 9. We write 3 X 3 = 9 The square of three means a Square with three units on each side. There.

5-7: COMPLEX NUMBERS Goal: Understand and use complex numbers.

The #’s 1, 4, 9, 16, 25.…are called. The #’s 1, 4, 9, 16, 25.…are called perfect squares / square numbers.

Complex Number Theory. First look at the number line = 5.

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?

Sub. :- Mathematics Squares and Square Roots Std. :- 6 th Chapter no. 9.

Chapter 2 Section 4 Complex Numbers.

Solving One-Step Equations Unit 10. To Solve an Equation 1.Isolate the variable – get the letter by itself Inverse Operation 2.Use the Inverse Operation.

Square Numbers and Square Roots By Mrs Balfour. Square numbers are called square numbers because you can make a square out of that number of smaller squares.

Lesson 7.2: Cube roots Objectives: To determine the cube root of a number. To Solve a cube root equation. EQ: How do you evaluate a cube root expression?

5.9 Complex Numbers Alg 2. Express the number in terms of i. Factor out –1. Product Property. Simplify. Multiply. Express in terms of i.

6.6 – Complex Numbers Complex Number System: This system of numbers consists of the set of real numbers and the set of imaginary numbers. Imaginary Unit:

© Hamilton Trust Keeping Up Term 1 Week 9 Day 2 Objectives: Find factors of two-digit numbers; Identify multiples of 2, 3, 4, 5, 6, 7 and 9.

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.

Multiples, Factors and Primes. Multiples A multiple of a number is found by multiplying the number by any whole number. What are the first six multiples.

Square Roots. Perfect Squares Squaring is when a number is multiplied by itself – It’s called squared because the area of a square is multiplying a side.

And Squares Square Roots. If a square measures 4 inches on each side, how would you find its area? 4 inches.

Square and Square Roots; Cubes and Cube Roots

(Square Roots Continued)

Activity based around:

Square Roots and Irrational Numbers.

Perfect Squares & Estimating Square Roots

Rational and Irrational Square Roots

Objective - To factor trinomials in the form .

Maths Unit 15 – Indices and Standard Form

Estimating Irrational Numbers

SHAPE & SPACE Squares & Square Roots.

Squares & Square Roots Perfect Squares.

Square Numbers and Square Roots

Square and Cube Numbers

Objective - To factor trinomials in the form .

Square root Prime factorization

Rational and Irrational Numbers

Square Roots and Irrational Numbers.

Squares and square roots

Objectives Evaluate expressions containing square roots.

7.2 Cube Roots Essential Question:

Square root Least number Multiply & Divide.

Multiplication Race Start with the 1’s, 2’s Then, 12’s,

Objective - To factor trinomials in the form .

Presentation transcript:

Multiples and Factors

Multiples A multiple of a number is what you get when you multiply that number. Multiples of 7 = Multiplying gives you multiples. 7 14 21 28 35 42 7 x 1 7 x 2 7 x 3 7 x 4 7 x 5 7 x 6

Multiples of 4 = Multiples of 11 = 8 12 16 20 24 4 x 1 4 x 2 4 x 3 4 x 4 4 x 5 4 x 6 11 22 33 44 55 66 11 x 1 11 x 2 11 x 3 11 x 4 11 x 5 11 x 6

Multiples can also be negative numbers as well. Multiples of 3 -12 -9 -6 -3 3 6 9 12 3 x -4 3 x -3 3 x -2 3 x -1 3 x 0 3 x 1 3 x 2 3 x 3 3 x 4

Factors Factors are numbers that can multiply to make your number. Factors come in pairs but are listed in order, each number being listed once. The numbers that multiply to make 10 are 1 x 10 and 2 x 5 So we list the factors of 10 as 1, 2, 5, 10.

The factors of 15 are The factors of 9 are The factors of 24 are 1, 3, 5, 15 1, 3, 9 1, 2, 3, 4, 6, 8, 12, 24

What are… The factors of 6? The first five multiples of 8? The factors of 100 that are also multiples of 2? 1, 2, 3, 6 8, 16, 24, 32, 40 12, 24, 36, 48, 60 1, 2, 4, 5, 10, 20 1, 2, 7, 14 1, 3, 11, 33 4.5, 9, 13.5, 18, 22.5 2, 4, 10, 20, 50, 100

Squares and Square Roots

Squares When a number is squared we multiply it by __________. 3 squared is 3 x 3 5 squared is 5 x ___ 12 squared is 12 x ___ We write squared as a small 2 above and to the right of the number. 7 squared is written 72 itself 5 12

Number Squared Formula Answer 02 0 x 0 12 1 x 1 1 22 2 x 2 4 32 3 x 3 42 4 x 4 52 62 72 82 92 102

Square Roots You use a square root to work out what a number was before it was squared. A square root is the opposite of a square. The square root of 100 is 10 because 102 = 100 The square root of 25 is 5 because ___ = 25 The square root of 81 is ___ because ___ = ___ 52 9 92 81

You need to know the square roots of; 144, 121, 100, 81, 64, 49, 36, 25, 16, 9, 4, 1, 0