Exponents
Write 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 ⋅ 4 in exponential form
What is 47
Evaluate: (22)3
What is 26 or 64
Is the following expression written in scientific notation? Why or why not?
3.25 + 10-7
What is no, because it should be multiplied, not added
Solve the expression. Write your answer in both scientific and standard notation.
(3.7 ⋅ 109) + (9.04 ⋅ 109)
What is (1.274 ⋅ 1010) or 12,740,000,000
Explain why or why not: -28 is equivalent to (-2)8
What is they are not equivalent. Without parentheses the answer will be negative, with them the answer will be positive
Write 35 in expanded form
What is 3 ⋅ 3 ⋅ 3 ⋅ 3 ⋅ 3
Simplify: (4-7)3
What is 4-21 or 1/421
The mass of Jupiter if approximately 1,900,000,000,000,000,000,000,000,000 kg. Write the mass of Jupiter in scientific notation
What is 1.9 ⋅ 1027
Solve the expression. Write your answer in both scientific and standard notation.
(8.45 ⋅ 10-7) + (6.9 ⋅ 10-7)
What is (1.55 ⋅ 10-7) or 0.000000155
Shelly's work is shown below. Explain if Shelly is correct or not.
(54)(5-3) = 5
What is Shelly is correct. You add the exponents together, 4 + (-3) = 1 and 51 = 5
Evaluate the expression (-3)3
What is -27
Simplify: (x5)(x9)
What is x14
The mass of a Monarch butterfly is about 9.5 ⋅ 10-3 ounces. Write this number in standard form
What is 0.0095
Solve the expression. Write your answer in both scientific and standard notation.
(5.1 ⋅ 108) - 361,000,000
What is (1.49 ⋅ 108) or 149,000,000
Determine if the following number is written in scientific notation and justify your answer
13.79 ⋅ 107
What is no, the number is not written in scientific notation because 13.79 is greater than 10
Evaluate the expression 1490
What is 1
Simplify: (5-3)(57)
What is 54
The size of the Sahara Desert is about 3.629 ⋅ 106 square miles. The Arabian Desert is about 9 ⋅ 105 square miles. Explain how you know which desert is larger
What is the Sahara because the exponent is larger
Solve the expression. Write your answer in scientific and standard notation
(2.2 ⋅ 106) - 430,000
What is 1.77 ⋅ 106 or 1,770,000
Solve the expression.
(6.4 ⋅ 1023) ⋅ 2,970
What is 1.9008 ⋅ 1027
Evaluate the expression 9-2
What is 1/81
Evaluate: 10-4/106
What is 10-10 or 1/1010
The size of the four oceans, in square km, is shown below. List the oceans from smallest to largest.
Pacific Ocean: 1.7965 ⋅ 108, Arctic Ocean: 10323 ⋅ 107, Atlantic Ocean: 1.061 ⋅ 108, Indian Ocean: 7.49 ⋅ 107
What is Arctic, Indian, Atlantic, Pacific
Solve the expression. Write your answer in both scientific and standard notation
(2.3 ⋅ 108) + (4.7 ⋅ 107)
What is (2.77 ⋅108) or 277,000,000
Determine if Jack solved the problem shown correctly. Justify your answer.
(2 ⋅ 104)(1.8 ⋅ 106) = 3.6 ⋅ 10-2
What is no, Jack did not solve the problem correctly. He was supposed to add the exponents, not subtract them. The answer should be 3.6 ⋅ 1010