Grade 7 - Mathematics 1.8 Multiplying Numbers Written in Scientific Notation
To Mutilpy using Scientific Notation:
Multiply decimal numbers with each other.
Use exponent rules to "combine" powers of 10.
If the answer is not in "correct" scientific notation form, convert or rewrite to correct notation. Example:
Multiply 3.0 x 10^{2} and 5.0 x 10^{3}
3.0 x 5.0 x 10^{2} x 10^{3}
=15 x 10^{2 + 3} (Law of indicies: a^{m} x a^{n}=a^{m+n})
=15 x 10^{5}
Rewrite to correct scientific notation form we get: 15.0 = 1.5 x 10^{1}
=1.5 x 10^{6}
Other examples:
4.0 x 10^{2}
x
2.0 x 10^{2}
=
8.0 x 10^{4}
6.0 x 10^{3}
x
3.0 x 10^{2}
=
18 x 10^{5}= 1.8 x 10^{6}
1.2 x 10^{5}
x
4.0 x 10^{2}
=
4.8 x 10^{7}
Directions: Solve the following questions. Also write atleast 5 examples of your own.