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Roots
Approximate/Order
Power Properties
Scientific Notation
Surprise
100
Square root of 49
7 or -7
100
Approximate the square root of 80 to the nearest whole number
9, since 9x9 = 81. The next closest would be 8 (8x8=64), but 81 is much closer to 80 so it is the best option.
100
Any number to the 0 power = ____
1
100
The first factor in a number written in scientific notation should be between _____ and _____
1 and 10
100
Square root of 1
+1 or -1
200
Cube root of 8
2
200
Approximate the square root of 37 to the nearest tenth.
6.1 (6.1 x 6.1=37.21)
200
4^5 x 4^7 What do you do with the bases? What do you do with the exponents? What is the simplified answer?
Keep bases Add exponents 4^12
200
Are the following in scientific notation? 0.341 x 10^-5 4.67 x 10^8 24.1356 x 10^3 0.0234 x 10^18
0.341 x 10^-5 (NO) 4.67 x 10^8 (YES) 24.1356 x 10^3 (NO) 0.0234 x 10^18 (NO)
200
5^7 / 5^3 What do you do with the bases? Exponents? What is the simplified answer?
Bases - stay the same Exponents - subtract 5^4
300
Identify the following as a perfect square, perfect cube, both, or neither: 216, 25, 67
216 - perfect cube 25 - perfect square 67 - neither
300
Order the following assuming all square roots are positive: square root of 25, 5.25, square root of 36, 4.95
4.95, root25/5, 5.25, root36/6
300
(8^6)^3 What do you do with the base? Exponents? What is the simplified version?
Keep base. Multiply exponents. 8^18
300
(4.2 x 10^4) x (5 x 10^3)
2.1 x 10^8 (4.2 * 5) x (10^4 x 10^3) 21 x 10^7
300
8^9 / 8^-3
8^12
400
Square root of 169
Positive or negative 13
400
Write 0.525252525252... as a fraction.
52/99
400
5^7 x 10^7 What do you do with the bases? Exponents? What is the simplified version?
Multiply bases. Keep exponent. 50^7
400
(4.5 x 10^3) / (9 x 10^-5)
5 x 10^7 (4.5/9) x (10^3/10^-5) 0.5 x 10^8
400
A cube has a volume of 2197 cubic inches. What is the area of one face?
169 square inches
500
Cube root of 3375
15
500
Order the following. Assume square roots are positive and taken to the tenths place. 520/99 Square root of 34 Square root of 27 5 66/99 5.6767676767...
Root27/5.2 520/99 (5.252525...) 5 66/99 5.6767676767... Root 34/5.8
500
What do you do when an exponent is negative? What if the negative exponent is in a denominator?
If negative - make base + exponent a denominator under 1. Ex: 2^-5 = 1/2^5 If already in the denominator, take the reciprocal and make the exponent positive. Ex: 1/4^-2 = 4^2
500
(3.9 x 10^5) + (9.9 x 10^7)
(9.939 x 10^7) (3.9 x 10^5) + (9.9 x 10^2 x 10^5) (3.9 x 10^5) + (990 x 10^5) (993.9 x 10^5)
500
Evaluate when x = 5 and y = 2 4(x^2)(y^-5)
3 1/4 or 3.25 4(5^2)(2^-5) 4(25)(1/32) 100(1/32) 100/32 3 4/32