Scientific Notation (Converting, Correcting, and Comparing)
Operations with Scientific Notation (+,-,x,/)
Word Problems
100
4^5 in expanded notation
What is 4*4*4*4*4?
100
Evaluate 7,821^0
What is 1?
100
3,167 in scientific notation
What is 3.167 x 10^3?
100
Add. Write your answer in correct scientific notation:
-9.56 x 10^5 + 6.21 x 10^5
What is -3.35 x 10^5?
100
A rectangular garden has a length of 4.2 x 10^2 ft and a width of 2.3 x 10 ft. Find the area of the garden.
What is 9.66 x 10^3 sq ft?
200
14*14*14*14*14*14 in exponential notation
What is 14^6?
200
Put in simplest exponential form: 8^16 * 8^32
What is 8^48?
200
-0.00267 in scientific notation
What is -2.67 x 10^-3?
200
Subtract. Keep your answer in correct scientific notation.
8.27 x 10^3 - -7.38 x 10^3
What is 1.565 x 10^4?
200
Cell phone company A has 6.4 x 10^8 users. Company B has 3.2 x 10^7 users. In scientific notation, how many times more users company A has compared to company B.
What is 2 x 10 users?
300
-6^3 in expanded notation
What is -6*6*6?
300
Put in simplest exponential form: 21^7 / 21^-13
What is 21^20?
300
-8.675 x 10^5 in standard form
What is -867,500?
300
Multiply. Write your answer in correct scientific notation.
(2.1 x 10^8)(3.7 x 10^4)
What is 7.77 x 10^12?
300
Jupiter has a diameter of 1.43 x 10^5 km. Mercury has a diameter of 4.9 x 10^3 km. How much greater is the diameter of Jupiter than the diameter of Mercury?
What is 1.381 x 10^5 km?
400
-15*-15*-15*-15 in exponential notation
What is (-15)^4?
400
Rewrite with a positive exponent: 287^-23
What is 1 / 287^23?
400
Correct the scientific notation: 633 x 10^-3
What is 6.33 x 10^-1?
400
Divide. Write your answer in correct scientific notation.
(-40.5 x 10^18) / (2.5 x 10^-2)
What is -1.62 x 10^21?
400
The approximate area of the Pacific Ocean is 6.4 x 10^7 sq. miles. The approximate area of the Arctic Ocean is 5.4 x 10^6 sq. miles. Find the combined area of the two oceans.
What is 6.94 x 10^7 sq miles?
500
Rewrite each in expanded form to show that they are NOT the same:
-3^4 and (-3)^4
What are -3*3*3*3 and -3*-3*-3*-3?
500
Put in simplest exponential form, with a positive exponent: (512^3)^-2
What is 1 / 512^6?
500
Order from greatest to least:
A) 1.25 x 10^5
B) -5.1 x 10^4
C) 7.8 x 10^-6
D) 4.1 x 10^4
What is B, C, D, A?
500
Subtract. Write your answer in correct scientific notation.
9.6 x 10^14 - -8.1 x 10^12
What is 9.681 x 10^14?
500
When the Sun makes an orbit around the center of the Milky Way, it travels 2.025 x 10^14 km. The orbit takes 2.25 x 10^7 years. At what rate does the Sun travel?