Exponents
Write 4x4x4x4x4x4x4 in exponential form.
47
Simplify: (34 * 32)5
330
Is the following expression written in scientific notation? If not, explain why.
32.5 x 10-7
No, the decimal part should be a number between 1 and 10.
Is 75,000,000 GREATER THAN 8.6 x 106? Explain.
No, 8.6 x 106 = 8,600,000, which is less than 75,000,000
8,600,000 < 75,000,000
Write 35 in expanded Form.
3x3x3x3x3
Simplify: 4263 * 456
4764
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
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
Find the missing exponent:
82 * 8__ = 86
4
The mass of a Monarch butterfly is about 9.5 x 10-3. Write this number in standard form.
.0095
Is the following number written in scientific notation? Why or why not? 13.79 x 107
No, 13.79 is greater than 10.
Evaluate the expression, 1490
1
Find the missing exponent or number:
8 * 8-3 = 8__ = 1/___
8 * 8-3 = 8-2 = 1/82 OR 1/64
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, because the exponent is bigger.
Find the missing exponent: 9__ /96 = 92
8
98/96 = 92 (When dividing, subtract the exponents)
Evaluate the expression, 9-2
1/81
Simplify:
(3x54x65)/(9x53x6)
(5x64)/3
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
Jahliek solved the problem shown below:
(2 x 104)(1.8 x 106) = 3.6 x 10-2 Is he correct? Explain.
No. He was supposed to add the exponents, not subtract.