Drills: Give the place value of each underlined digit

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Presentation transcript:

Drills: Give the place value of each underlined digit 300 024 609 8 000 900 012 15 004 000 008 32 002 200 020 1 010 100 001 Give the value of each underlined digit in the above numbers.

Use 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 to find the number with 0 in the hundred thousands place 1 in the hundred millions place 2 in the ten thousands place 3 in the ten millions place 4 in the thousands place 5 in the millions place 6 in the hundreds place 7 in the ones place 8 in the billions place 9 in the tens place Answer: __ , __ __ __ , __ __ __ , __ __ __

EXPONENTS!

Differentiate base from exponent Objectives Differentiate base from exponent Write numbers using exponents

Exponents are a shorthand way to show a larger number. What is an exponent? Exponents are a shorthand way to show a larger number.

Where is an exponent located at? Exponents are sometimes referred to as “powers.” 64 Exponent Base

How do you read an exponent? A number with an exponent is said to be "raised to the power" of that exponent. Let’s look at some examples. . . .

32 = three to the second power or three squared 53 = five to the third power or five cubed 74 = seven to the fourth power

What does an exponent mean? An exponent tells how many times the base is multiplied by itself. 43 means 4 x 4 x 4 or 64

Helpful Tips Any number raised to the 0 power is equal to one! 100 = 1 Any number raised to the 1st power is equal to the number itself. 81 = 8

The most common mistake is…… BE CAREFUL 43 = 4 x 3 = 12 The most common mistake is…… Why is this not correct? 43 = 4 x 4 x 4 = 64 This is correct…..

CLASS PRACTICE You do not have to write the following questions in your spiral notebook. However, you will need a scratch piece of paper to work out the problems.

What is the base in the following value? Question #1 What is the base in the following value? 63 6

What is the exponent in the following value? Question #2 What is the exponent in the following value? 63 3

52 Write in words the correct way to read the following number. Question #3 Write in words the correct way to read the following number. 52 Five raised to the second power Five squared

Question #4 Calculate the value 23 23 = 2 x 2 x 2 = 8

Question #5 Calculate the value 104 104=10x10x10x10= 10 000

Question #6 Calculate the value 62 62 = 6 x 6 = 36

Question #7 Calculate the value 991 991 = 99

Question #8 Calculate the value 53 53 = 5 x 5 x 5 = 125

Question #9 Calculate the value 60 60 = 1

Question #10 Exponential form 6 x 6 x 6 x 6 6 x 6 x 6 x 6 = 64

Question #11 Exponential form 3x3x3x3x3 3 x 3 x 3 x 3 x 3= 35

Question #11 Exponential form 20 20 = 201

Exponential Form in Words Complete the table Exponential Form Standard Form Exponential Form in Words 32 25 Nine squared One to the seventh power 103

THE END!