Understanding Powers
What is the base in the expression 73?
7
Evaluate 26 and 454.
64 and 4100625.
Write 100,000 and 1,000 as a power of 10.
105 and 103.
Write 8,302 in expanded form using powers of 10.
8×103+3×102+2×100
Write each power in standard form.
362
444
36x36
44x44x44x44
Define Base
The number multiplied by itself.
Solve: 1.5x104 and 8.91x103
15000 and 8910.
What is the place value of the 8 in 3,082,517?
Ten thousands.
Convert 5×104+2×102 to standard form.
50,200
What symbol is used for exponents on most calculators?
^ or yx
Write them in exponential form.
18x18x18x18x18x18
11x11x11
186
113
What is 34+23?
81 + 8 = 89
Write "five million, two hundred one" in standard form.
5,000,201
Write 1,040,300 in expanded notation.
1×106+4×104+3×102
Why do we use powers?
They are very useful for simplifying multiplications that repeat a certain number.
What does the exponent tell you in a power?
How many times the base is multiplied by itself.
Calculate 375÷102.
3.75
What does a zero represent in 4,050?
A placeholder for the tens place (no tens).
Write 1,120,344 in words.
one million one hundred twenty thousand three hundred forty-four.
A library has 2×104 fiction books and 3×103 nonfiction books. How many total books?
23,000
(Daily Double!)Why is 100=1?
Any non-zero number to the power of 0 equals 1 by definition.
(Daily Double!)If a bacteria doubles every hour, how many are there after 6 hours? Write as a power.
26
(Daily Double!)Round 6.28×103 to the nearest hundred.
6,300
If 9×105 represents books, how many books is that?
900,000
A grain of sand weighs 6×10−3 grams. Write this as a decimal.
0.006 grams