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100
What is scientific notation?
A shortand way of to write very large and very small numbers
100
How can patterns help you simplify expressions involving zero and negitive exponets?
Any number raised to the zero power, is 1. Any number raised to a negitive power is first changed to the reciprical of that number raised to a positive power, and then simplified.
100
4z to the 5th power x 9zto the -12 power
What is 36z to the -7 power
100
a population of insects triples evevy week. The number of insects is modeledby the expression 5400 x 3w, where w is the number of week after the population was measured. Evalute the expression for w=-2 w=0 w=1 what does each value of the sxpression mean
-3.14 0 1.57
100
You can use algebra tiles to model the multiplication of two binomails.
How to use models to multiply.
200
Whats is an exponet?
Exponets tell how many time a number is used as a factor.
200
Why would you use powers of 10 to write and compare numbers?
Powers of 10 make very large and small numbers easier to work with. Write the factors in the form ax10n, where a is greator or equal to 1 and less then 10 and n is an integer.
200
(4c to the 4)(ac to the 3)(-3a to the 5c)
-12a to the 6 cto the 8
200
A popolation of marine bacteria doubles every hour under controlled labatory conditions. The number of bacteria is modeled by the expression 1000 X 2h, where h is the number of hours after a scientist measures expression for h=0 and h=-3. What does value of the expression representr in the situation.
0=1000 -3=125
200
how to divide polynomials.
You can divide polynomials using techniques used for dividing real numbers, including long division.
300
What is the base?
The base is a number that is multiplied repeatedly.
300
How do properties of exponets make a problem solving easier?
After learning the properties of exponets, you can quickly simplify expressions. Use the properties of exponets to multiply powers with the same base by adding the exponets.
300
x to the 4 times x to the 9
x to the 13
300
a company is making metal rods with a target diameter of 1.5mm. a rod is acceptable 10 to the -3 power mmof the target diameter. write the inequality for the acceptible range of diameters.
1.49<1.5<1.5
300
binomials
a polynomials of two terms
400
What is a power?
The base and the exponent of an expression.
400
Why would you use properties of exponets to simplify a power raised to a power or a product raised to a power?
To solve for an unknown variable or simplify and expression, it is nesscecary to multiple exponets when raising a power to a power. To raise a product to a power, you should raise each factor to the power and multiply.
400
scientists estimate that therte are about 10 to the 20 power stars in the universe. a cube meter of the beach sand comtains about 10 to the 9 power grains of sand. suppose all the sand from the worlds beaches is combined into one large beach, as shown below. are there more stars in the universe or grains of sand in the world?
grains of sand
400
Polynomial
A monomial or a sum of monomials
500
Whats is a ratio?
A ratio is a comparison of two quantities by division.
500
How are the properties of dividing powers and multiplying powers similar.
when you divide powers you subtract exponets. When you multiply powers, you add exponets.
500
the radius of a bubble mage by the bubble machine on the right is 2.5 times as large as the radius of a bubble made by the bubble made by the bubble machine on the left. what is the volume of a bubble made by the machine in the right?
the volime of the bubble is 7
500
Factoring by Groups
Group the terms in pairs, factor the GCF from each pair, and look for a common binomial.