Exponents
Write: 4x4x4x4x4 in exponential form
45
Evaluate: (22)3
26 = 64
3.25 + 10-7
No, the base 10 is being added not multiplied.
Solve the expression. Write your answer in scientific notation.
(3.7 x 109) + (9.04 x 109)
1.274 x 1010
Is -25 equal to (-2)5? Explain.
Yes, because an odd # of negatives results in a negative answer.
-25 = -32
(-2)5 = -32
Write 37 in expanded form.
3x3x3x3x3x3x3
Simplify: (4y)3
43y3
The mass of Jupiter, in kilograms, is approximately 1,900,000,000,000,000,000,000,000,000.
Write the mass of Jupiter in scientific notation.
1.9 x 1027
Solve the expression. Write your answer in scientific notation.
(8.5 x 10-7) - (6.9 x 10-6)
-6.05 x 10-6
Shelley showed the problem shown below.
(54)(5-3) = 5.
Is Shelley correct? Explain.
Yes, because 4 + -3 = 1
51 = 5
Evaluate the expression, (-3)3
-27
Simplify:
(x5)(x9)
5 + 9 = 14
x14
The mass of a Monarch butterfly is about 9.5 x 10-3 grams. Write this number in standard form.
.0095 grams
The surface area of the Earth is water and land. The approximate total surface area of Earth is 5.1 x 108 km2 and the approximate total surface area of water is 361,000,000 km2. About how much of Earth's surface area is land?
5.1 x 108 - 3.61 x 108 = 1.49 x 108
Is the following number written in scientific notation? Why or why not?
13.79 x 107
No, because the coefficient 13.79 is not between 1 and 10.
Evaluate the expression, (149)0
1
Simplify:
(36x4y3) / (6xy2)
6x3y
The size of the Sahara Desert is about 3.629 x 106 square miles and the Arabian Desert is about 9 x 105 square miles. Which desert is larger? Explain how you know.
Sahara Desert is larger because 3.629 x 106 has a larger exponent than 9 x 105.
Some whales are known to weigh as much as 8 x 104 pounds. The tiny krill they eat weigh only 2.1875 x 10-3 pounds. Approximately how many times greater is the weight of some whales than krill?
(8 x 104) / (2 x 10-3) = 4 x 107
The mass of Mars is about 6.4 x 1023 kg. It would take about 2,970 of the planet Mars to equal the mass of Jupiter. What is the mass of Jupiter?
(6.4 x 1023)(2970) = 1.9008 x 1027