Estimating Square Roots. Warm – Up!! Good Morning!! As you walk in, please pick up your calculator! Please pick up a Unit 4 booklet from the podium and.

Slides:

Advertisements

Similar presentations

REALLY, REALLY SMALL NUMBERS.

Advertisements

SCIENTIFIC NOTATION. DID YOU KNOW…….. The distance from Earth to the North Star is about 10,000,000,000,000,000,000 meters. The thickness of a soap bubble.

Scientific Notation. Mathematicians are Lazy!!! They decided that by using powers of 10, they can create short versions of long numbers.

SCIENTIFIC NOTATION Lesson 8-2 Review

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 the following. Them find the value

REALLY, REALLY SMALL NUMBERS.

Scientific Notation.

Operations with Scientific Notation

2-8 Multiplying a Power of Ten by a Whole Number 4 10 = ___________________ = ___________________ 4 1,000 = ___________________ 4 10,000 = __________________.

8.4 The Scientific Notation Objective The student will be able to express numbers in scientific and decimal notation. Helping us write really tiny or.

P2 Exponents & Radicals. What does an exponent tell you?? Repeated Multiplication How many times you multiply the base by itself.

Powers and Square Roots. Powers Sometimes numbers multiply themselves a few times for example 3×3×3×3×3.

Warm up 1. If you invest $1,000 at 7% for 2 years. How much will you have after two years if it compounds annually? $ How much money should I.

Scientific Notation The basics and some math.. Take out your calculator.  Write these calculations and the answer in your notes:  12,922,341 /

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

Exponents and Powers Power – the result of raising a base to an exponent. Ex. 32 Base – the number being raised to the exponent. Ex is the base.

Warm Up  Write the number in scientific notation.  1.) 37,200,000,000  2.)

Operations with Scientific Notation. Warm Up To add or subtract, rewrite the numbers to the same power of 10, add or subtract the multipliers, and rewrite.

Chapter 1: Square Roots and the Pythagorean Theorem Unit Review.

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.

Scientific Notation IPC NOTES. SCIENTIFIC NOTATION Scientific notation is used to write really large or really small numbers. ex) x10.

Scientific Notation. How wide is our universe (in miles)? 210,000,000,000,000,000,000,000 miles (22 zeros) This number is written in standard notation.

Multiples and Factors.

Notes 2.1 and 2.2 LOOKING FOR SQUARES AND SQUARE ROOTS.

KEY STANDARDS M8N1. Students will understand different representations of numbers including square roots, exponents, and scientific notation. 24 August.

Exponents: A quick short cut to multiplication! 7 4 Means 7 x 7 x 7 x 7 Means 7 is used as a factor 4 times!

SCIENTIFIC NOTATION A QUICK WAY TO WRITE REALLY, REALLY BIG OR REALLY, REALLY SMALL NUMBERS.

GCF. Warm – Up!!  Good Morning! As you walk in, pick up your calculator and Unit 6 Guided Notes from the podium.  Name 3 prime numbers.  What are the.

Scientific Notation Helping us write really tiny or really big numbers.

Review of Exponents, Squares, Square Roots, and Pythagorean Theorem is (repeated Multiplication) written with a base and exponent. Exponential form is.

Unit 2: Exponents Review. What is on the test??? 1.Exponent Rules 2.Perfect Squares 3.Square Roots / Cube Roots 4.Estimating Non-Perfect Squares 5.Scientific.

Guide to Math Knowledge. Numbers, Number Systems and Number Relationships.

Warm Up. 4.3 Solve by Factoring Find this in your notes!

Scientific Notation for big numbers ex = x places single digit from 1 to 9 power of ten The number of places the decimal shifts determines.

Course Scientific Notation 135,  100,   = 100,000 5 WARM UP Write the number in standard notation (standard.

CFU Perform operations with numbers in scientific notation (multiply, divide, powers). SPI Multiply, divide, and square numbers expressed.

Unit 2 Day 5. Do now Fill in the blanks: is read as “___________________________” The 4 th root can be rewritten as the ________ power. If an expression.

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.

Q2W1: Scientific Notation.  I can use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small.

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

Lesson 5.11 Scientific Notation. SCIENTIFIC NOTATION A QUICK WAY TO WRITE REALLY, REALLY BIG OR REALLY, REALLY SMALL NUMBERS.

REALLY, REALLY SMALL NUMBERS.

Square and Square Roots; Cubes and Cube Roots

Chapter 3 Scientific Measurement 3.1 Using and Expressing Measurements

REALLY, REALLY SMALL NUMBERS.

REALLY, REALLY SMALL NUMBERS.

Activity based around:

SCIENTIFIC NOTATION Lesson 8-2

SCIENTIFIC NOTATION Lesson 8-2

Lab Skills and Chemical Analysis

Adding and Subtracting Numbers in Scientific Notation

Multiplying and Dividing Powers

SHAPE & SPACE Squares & Square Roots.

REALLY, REALLY SMALL NUMBERS.

Squares & Square Roots Perfect Squares.

Writing Numbers That Are Too Big or Too Small in Decimal Form

REALLY, REALLY SMALL NUMBERS.

REALLY, REALLY SMALL NUMBERS.

REALLY, REALLY SMALL NUMBERS.

Exponents and Scientific Notation

REALLY, REALLY SMALL NUMBERS.

REALLY, REALLY SMALL NUMBERS.

SCIENTIFIC NOTATION A QUICK WAY TO WRITE REALLY, REALLY BIG

REALLY, REALLY SMALL NUMBERS.

REALLY, REALLY SMALL NUMBERS.

REALLY, REALLY SMALL NUMBERS.

REALLY, REALLY SMALL NUMBERS.

REALLY, REALLY SMALL NUMBERS.

REALLY, REALLY SMALL NUMBERS.

Presentation transcript:

Estimating Square Roots

Warm – Up!! Good Morning!! As you walk in, please pick up your calculator! Please pick up a Unit 4 booklet from the podium and then write your name in pen. * GLUE, TAPE, OR HOLE PUNCH your booklet so that you do not loose it!!*

Perfect Squares Perfect Squares: the product of a number being multiplied by itself. For example: 4 x 4 or 4 2 = 16 What are the Perfect Squares of the following numbers? 1×1 = 1 2 = 1 2×2 = 2 2 = 43×3 = 4×4 = 5×5 = 6×6 = 7×7 =8×8 = 9×9 = 10×10 =11×11 = 12×12 =

Square Roots Square Roots: the opposite of a square; undoing a square What are the Square Roots of the following numbers? Remember if a 2 =b, then √b=a. √1=√49= √4= √64= √9=√81= √16=√100= √25=√121= √36=√144=

Estimating Square Roots What if the number is NOT A PERFECT SQUARE? (No Calculators!) We can use the Square Roots that we know to Estimate ones that we Know! Ex. 1) √89Ex. 2) √120 Ex. 3) √256Ex. 4) √412

You Try!!  √22  √13  √45  √67

SCIENTIFIC NOTATION A QUICK WAY TO WRITE REALLY, REALLY BIG OR REALLY, REALLY SMALL NUMBERS.

Mathematicians are Lazy!!! They decided that by using powers of 10, they can create short versions of long numbers.

Rules for Scientific Notation To be in proper scientific notation the number must be written with  a number between 1 and 10  and multiplied by a power of 10 Ex.: 23 X 10 5 is not in proper scientific notation. Why?

Example 1: 137,000,000 can be rewritten as 1.37 X 10 8

Example 2: 347,000 Using scientific notation, rewrite the following number.

Example 3: 6.14 x 10 5 Using standard and scientific notation, rewrite the following number

Example 4:The U.S. has a total of X 10 7 acres of land reserved for state parks. Write this in standard form.

Why does a Negative Exponent give us a small number? = 10 x 10 x 10 x 10 = = 10 x 10 x 10 = = 10 x 10 = = = 10 0 Do you see a pattern?

Negative Exponents – Powers of 10 = = = = = = = 10 -4

Example 5: Write the following in scientific notation A B C

Example 6: A ribosome, another part of a cell, is about of a meter in diameter. Write the length in scientific notation.

You Try!! ,000, X X Using scientific notation, rewrite the following number

More Practice: 1. 4, X X , X ,000, X 10 -8