When we have really large or really small numbers, we generally use scientific notation. This type of notation is simply a compact way to display a number. In order to place a number in scientific notation, we revisit some properties of multiplication with 10.
Test Objectives:•Demonstrate an understanding of multiplication/division by 10
•Demonstrate the ability to write a number in scientific notation
•Demonstrate the ability to perform operations with numbers in scientific notation
Scientific Notation Test:
#1:
Instructions: Write each number in scientific notation.
a) 972,000,000
b) 0.0000162
#2:
Instructions: Write each number in scientific notation.
a) 5,331,000,000,000,000
b) 0.000000001050137
#3:
Instructions: Write without exponents.
a) 4.78 x 10^{5}
b) 1.951 x 10^{-10}
#4:
Instructions: Write without exponents.
a) 3.18 x 10^{0}
b) 6.28 x 10^{-4}
#5:
Instructions: Write without exponents.
a) (12 x 10^{-4})(8 x 10^{4})
b)
2.05 x 10^{9} |
1.6 x 10^{-2} |
Written Solutions:
Solution:
a) 9.72 x 10^{8}
b) 1.62 x 10^{-5}
Solution:
a) 5.331 x 10^{15}
b) 1.050137 x 10^{-9}
Solution:
a) 478,000
b) 0.0000000001951
Solution:
a) 3.18
b) 0.000628
Solution:
a) 96
b) 128,125,000,000