Download positive exponents, perfect squares, square roots, and for numbers

6.22
positive exponents, perfect squares, square
roots, and for numbers greater than 10,
scientific notation. Calculators will be used.
Ppg 53
EXPONENTS• Any real number other than zero raised to the zero power is 1. Ex50=1 100=1 2370=1
Directions for Scientific Notation
Step 1
Example 1: 3.2 × 103 is scientific notation for 3,200
REMEMBER: The decimal in a whole number is at the end of the
number
31, 2 0 0 .
( x 10 ) set up
Step 2
The whole number must be between 1 and 10 ex. 3 1200.
Basically, draw a line after the first number.
Write as a decimal
3.12
Count out digits behind line. There are 4. This is your power. 10 4
Write 3.12 x 104
Directions- rewriting a scientific notation
Example 4.2 x 105
Write whole or decimal number w/o the decimal point. 42
Add zeros according to number of power 4200000
Count spaces behind decimal point and add decimal to number
4200000 rewrite 420,000
PRACTICEWrite in Scientific Notation problems 1-4
2, 430, 000
2. 445
3. 75, 030
6.22 Vocabulary
pg 54
Exponent- A numerical value composed of a power and a base. EX- 53 means 5x5x5= 125
Exponential Notation- In exponential notation, the base is the number that is multiplied,
and the exponent represents the number of times the base is used as a factor. EX- 53 5 is
the base and 3 is the number of times you multiply 5 times itself.
Power- The power, written as a superscript number, symbolizes how many times the base
number must be multiplied to find the numerical value of the exponent. EX- 53 3 is the
power.
Base- The base is the factor that will be multiplied in an exponent. The power tells how
many times the base will be multiplied to find the numerical value of the exponent. EX- 53
5 is the base.
Power of Ten- A power of ten is an exponent composed of the number ten (10) raised to a
power. The power tells how many zeroes will be in the standard form of the exponent. EX10³ will have three zeroes in the answer, making it 1,000. If 10³ was written as a product of
its factors, it would read 10×10×10=1,000.
Square root- A square root of a number is a number which, when multiplied by itself,
produces the given number. EX- the square root of 49 is 7 since 7  7 = 49.
Squared- A number multiplied by itself; symbolized by a superscript 2 written above and to
the right of a number. EX- 5 squared (5²) would be solved by multiplying 5×5=25.
4. 80,000
Perfect square- Perfect squares are the numbers that result from multiplying any whole
number by itself Ex- 36 = 6  6.
Write in Standard Notation problems 5-8
. 6. 1.6 x 108
6.05 x 104
7. 9 x 103
9. 80 =______
8. 9.45 x 104
10. Which number is the base in 74 ?
Scientific notation- Scientific notation for a number is expressed by writing the number as
a number greater than or equal to 1 but less than 10 times a power of 10. EX- 3.2  103 is
scientific notation for 3,200.
Cubed- A number, multiplied by itself and then multiplied again by itself. It is symbolized
by a superscript 3 written above and to the right of a number. EX- 4 cubed (4³) would be
solved by multiplying 4×4×4=64.