Exponents
Write 4x4x4x4x4x4x4 in exponential form.
47
Evaluate: (22)3
43 = 64 or 26 = 64
Is the following expression written in scientific notation? If not, explain why. 3.25 + 10-7
No, the factor and the power of 10 should be multiplied, not added.
Solve the expression. Write your answer in scientific notation. (3.7 x 109) + (9.04 x 109)
(Use your calculator for the first step.)
12.74 x 109 = 1.274 x 1010
Is -28 the same answer as (-2)8? Explain.
No, -28 = - 2*2*2*2*2*2*2*2 = -256. (-2)8 = (-2)*(-2)*(-2)*(-2)*(-2)*(-2)*(-2)*(-2) = 256.
Write 35 in expanded Form.
3x3x3x3x3
Simplify: (4y)3
43y3 = 64y3
The mass of Jupiter is approximately 1,900,000,000,000,000,000,000,000,000 kg. Write the mass of Jupiter in scientific notation.
1.9 x 1027
Solve the expression. Write your answer in scientific notation. (8.45 x 10-7) - (6.9 x 10-7)
(Use your calculator.)
1.55 x 10-7
Shelly's work is shown below: (54)*(5-3) = 5 Is Shelly correct? Explain.
Yes, 54 + -3 = 51 = 5
Evaluate the expression, (-3)3
(-3)(-3)(-3) = -27
Simplify: (x5)(x9)
x5+9 = x14
The mass of a Monarch butterfly is about 9.5 x 10-3. Write this number in standard form.
.0095
The surface 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, 13.79 is greater than or equal to 10.
Evaluate the expression, (149)0
1
Simplify: (36x4y3)/(6xy2)
36/6 * x4/x * y3/y2 = 6*x4-1*y3-2 = 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.
The Sahara, because the exponent is bigger.
Humpback 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 than krill are humpback whales?
(8 x 104 ) / (2.1875 x 10-3 ) = 3.657... x 107
So, approximately 4 x 107 pounds.
The mass of Mars is about 6.4 x 1023 kg. It would take about 2,970 planets like Mars to equal the mass of Jupiter. What is the mass of Jupiter in Scientific Notation?
(6.4 x 1023) x 2970 = 1.9008 x 1027
Evaluate the expression, 9-2
1/92 = 1/81
Simplify: (5x2)3/(7y9)0
53x2*3/1 = 125x6
The size of the four oceans, in square km, is shown below. List the oceans from smallest to largest. Pacific Ocean: 1.7965 x 108, Arctic Ocean: 1.323 x 107, Atlantic Ocean: 1.061 x 108, Indian Ocean: 7.49 x 107
Arctic, Indian, Atlantic, Pacific (1.323 x 107, 7.49 x 107, 1.061 x 108, 1.7965 x 108)
A computer can perform 4.66 x 108 instructions per second. How many instructions is that per minute? Per hour? Write your answers in scientific notation.
60 seconds per minute, so: 4.66 x 108 * 60 = 2.796 x 1010
60 minutes per hour: 2.796 x 1010 * 60 = 1.6776 x 1012
Solve the problem. ((wxx2y43z5)/(e2w4xyz56))0
1