Basic Exponents
What is 4 x 4 x 4 x 4 x 4 in exponential form?
45
Write this equation in standard form:
5.0 x 106
5,000,000
What is scientific notation?
a. A long way of writing really short numbers
b. A short way of writing really long numbers
c. A long way of writing really long numbers
d. None of the above
b
What is this is scientific notation?
302,000,000
3.02 x 108
Is -28 the same answer as (-2)8? Explain.
No, without parentheses () the answer will be negative. With them, the answer will be positive.
What is 35 in expanded form?
3 x 3 x 3 x 3 x 3
The mass of a Monarch butterfly is about 9.5 x 10-3. What is this number in standard form?
.0095
The rule of scientific notation is to write all exponents with a base of ____.
a. 50
b. 100
c. 5
d. 10
d
What is this in scientific notation?
4,600,000,000
4.6 x 109
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.
(-3)3=?
-27
How would you write 4.3756 x 104 in standard form?
a. 437,560,000
b. 0.00043756
c. 43,756
d. 4,3756
c
If an exponent is a POSITIVE number, you will get a...
a. larger number
b. smaller number
c. even number
d. odd number
a
What is this in scientific notation?
99,956,432,000,000
9.9956432 x 1013
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; the exponent is bigger
143=?
2744
How many zeros would be in this number if written in standard form?
6.47 x 1011
9
When an exponent is NEGATIVE in a scientific notation problem, the decimal point will be moved _____ in standard form.
a. to the right
b. to the left
c. nowhere
b
The mass of Jupiter is approximately 1,900,000,000,000,000,000,000,000,000 kg. What is the mass of Jupiter in scientific notation?
1.9 x 1027
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
1490=?
1
How do you write 8.317 x 1012 in standard form?
a. 83,170,000,000
b. 8,317,000,000
c. 831,700
d. None of the above
d
How would you convert 36,700 into scientific notation? Explain how to do so.
3.67 x 104
1. To convert 36,700 to a number from 1 to 10, move the decimal 4 places to the left: 3.67
2. Since the decimal was moved 4 places, the exponent of 10 in the equation is 4
3. Therefore, 3.67 x 104=36,700
What is this number is standard form?
-3.004 x 10-13
a. -0.0000000000003004
b.-30,040,000,000,000
c. 0.0000000000003004
d. 30,040,000,000,000
a
A computer can perform 4.66 x 108 instructions per second. How many instructions is that per minute AND per hour? Write your answers in scientific notation.
2.796 x 1010 per minute
1.6776 x 1012 per hour