Exponents
Write 4 x 4 x 4 x 4 x 4 x 4 x 4 in exponential form.
47
Evaluate: (22)3
26 = 64
Is the following expression written in scientific notation? If not, explain why. 3.25 + 10-7
No, it should be multiplied, not added.
Solve the expression. Write your answer in scientific notation.
(3.7 x 109) + (9.04 x 109)
12.74 x 109 = 1.274 x 1010
Is -2^8 the same answer as -(2)^8? Explain.
No. With the parentheses () the answer will be negative, without them the answer will be positive.
Write 35 in expanded Form.
3 x 3 x 3 x 3 x 3
Simplify: (4)3
64
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)
1.55 x 10-7
Shelly's work is shown below:
(54)(5-3) = 5
Is Shelly correct? Explain.
Yes, 4+(-3) = 1.
51=5
Evaluate the expression, (-3)3
-27
Simplify: (x5)(x9)
x14
The mass of a Monarch butterfly is about 9.5 x 10-3 Write this number in standard form.
0.0095
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?
1.49 x 108 km2
Is the following number written in scientific notation? Why or why not? If not, write in scientific notation.
13.79 x 107
No, 13.79 is greater than or equal to 10. For it to be in scientific notation, it needs to be 1 or more but less than 10.
1.379 x 108
Evaluate the expression, (149)0
1
Simplify: (a3/b2)4
a12/b8
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= 3,629,000 mi2 Arabian = 900,000 mi2
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?
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?
1.9008 x 1027
Evaluate the expression: 9-2
1/81
Simplify: (52)3 / (79)0
56
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
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.
Per minute = 2.796 x 109
Per hour = 1.6776 x 1010
Jackie solved the problem shown below:
(2 x 104)(1.8 x 106) = 3.6 x 10-2
Is she correct? Explain.
No. She was supposed to add the exponents, not subtract.
3.6 x 1010