unit 2: expressions and scientific notation
what is 5.9x10^-4 in standard notation
0.00059
what is 8.7x10^-4 in standard notation
0.00087
the first number (coefficient) should be between
1 and 9.9
(3x10^4) (2x10^3)
6x10^7
^3 √9
729
(4x10^3) + (7x10^3)
1.1x10^4
the distance between atlanta and new york city is 1.2x10^6. the distance between new york city and philadelphia is 3.7x10^5. what is the combined distance if you drove from atlanta to new york city and then drove from new york city to philadelphia ?
1.57x10^6
7x10^-5 / 4x10^-3
1.75x10^-2
√14
196
what is 249,000 in scientific notation
2.49x10^5
1x10^-3 / 4x10^2
2.5x10^-6
the radius of the sun is about 4x10^5. the radius of neptune is 2x10^4. how many times greater is the radius of the sun?
20
^3 √6
216
√15
225
(4x10^3) - (2x10^2)
3.8x10^3
√18
324
^3 √7
343
√19
361
(6x10^4) (5x10^6)
3x10^11
the distance between atlanta and nashville is 4x10^5. the distance between atlanta and orlando is 7x10^5. how much shorter is the trip from atlanta to nashville than atlanta to orlando?
3x10^5
what is 4.5x10^0 in standard notation
4.5
(4.8x10^3) - (1.9x10^2)
4.61x10^3
what is 4.5x10^1 in standard notation
450
√22
484
^3 √8
512
√23
529
√24
576
√25
625
what is a rational number
a number that can be written as a fraction
what is an irrational number
a number that cannot be written as a fraction
what is a whole number
a number with no negatives or decimals
when multiplying what do you do to the exponent
add
when the decimal is moved to the left, you
add one each time you move the decimal
what is the zero exponents rule
any term raised to a power of 0 equals 1
if the exponents are different what do you do
change the smaller exponent to the larger exponent by moving the decimal to the left
what is a natural number
counting numbers
what is the power to a product rule
distribute the exponent outside to everything inside the parentheses
what is the negative exponents rule
negative exponents are on the wrong side of the fraction bar, so you must move them to the other side
examples of irrational numbers are
non repeating decimals, 3𝛑, √3, √80, √2, 𝛑
what is an integer
numbers on the number line (no decimals)
what is the power to a power rule
power is raised to an exponent, then multiply exponents
when dividing what do you do to the exponent
subtract
when the decimal is moved to the right, you
subtract one each time you move the decimal
when adding and subtracting both exponents should be
the same
what is the quotient rule
when dividing and the bases are the same, subtract the exponents
what is the product rule
when multiplying and the bases are the same, add the exponents
