Multiply And Divide With Scientific Notation Worksheet
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10Multiply and Divide with Scientific Notation
Mississippi Standard:
Multiply and divide numbers written in scientific notation.
You can use scientific notation to simplify computations with very large and/or
very small numbers.
To multiply numbers in scientific notation, regroup to multiply the factors and
multiply the powers of ten. Then simplify. To multiply the powers of ten, use the
Product of Powers
.
Product of Powers
Words
To multiply powers with the same base, add their exponents.
Symbols
Arithmetic
Algebra
2
5
2
5
7
a
b
a
b
3
3
3
or 3
x
x
x
Multiplication with Scientific Notation
2
1
Evaluate the expression (1.3 10
)(2.5 10
).
2
1
2
1
(1.3 10
)(2.5 10
)
(1.3 2.5)(10
10
)
Commutative and Associative Properties
2
1
(3.25)(10
10
)
Multiply 1.3 by 2.5.
2
1
3.25 10
Product of Powers
3
3.25 10
Add the exponents.
3.25 1,000
3
10
1,000
3,250
Move the decimal point 3 places.
3
4
Evaluate the expression (4.2 10
)(1.6 10
).
3
4
3
4
(4.2 10
)(1.6 10
)
(4.2 1.6)(10
10
)
Commutative and Associative Properties
3
4
(6.72)(10
10
)
Multiply 4.2 by 1.6.
3
4
6.72 10
Product of Powers
7
6.72 10
Add the exponents.
6.72 10,000,000
7
10
10,000,000
67,200,000
Move the decimal point 7 places.
To divide numbers in scientific notation, regroup to divide the factors and
divide the powers of ten. Then simplify. To divide the powers of ten, use the
Quotient of Powers
.
Quotient of Powers
Words
To divide powers with the same base, subtract their exponents.
Symbols
Arithmetic
Algebra
8
a
4
x
8
3
5
a
b
4
or 4
x
, x
0
3
b
4
x
600
Prerequisite Skills
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education