Download 6.5-Interactive

6.5
The student will investigate and describe concepts of
positive exponents and perfect squares.
Calculators will be used.
6.5 Vocabulary
Pg
EXPONENTS• Any real number other than zero raised to the zero power is 1.
Ex-50=1
100=1
2370=1
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.
Perfect Square Practice- On graph paper draw and count. Use this
button on your calculator x2
2²
3²
pg
To use your calculator to find any exponential number simply punch in the base, then the
Y2 key and then the power. Ex: 24 you would punch in “2 “ then “Y2 “ then “4” and it
will equal 2 x 2 x 2 x 2 which is 16.
4²
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.
5²
6²
4
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. HINT- just count the zeros, that is your power!
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.
x
Square Root Calculator-use this button on the calculator
4
36
100
Find the product (base Y2 power)
85
49
20 20
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.
x
x2
169
Perfect square- Perfect squares are the numbers that result from multiplying any whole
number by itself Ex- 36 = 6  6. SAME THING AS SQUARED.
106
78
62
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.
80 =______
Which number is the base in 7 4 ? ____Power?___
43