Download 9-5 Scientific Notation

9-5 Scientific Notation
Express each number in standard form.
4
4
5
3
6
2
MONEY
E-MAILS
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2
centimeter thick.
2
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9-5 Scientific Notation
E-MAILS
these are spam and viruses.
2
billion e-mails are sent each day around the world. Most of
Express each number in scientific notation.
700,000
32,000,000
0.045
0.000918
1,000,000
0.006752
Order each set of numbers from least to greatest.
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9-5 Scientific Notation
Order each set of numbers from least to greatest.
2
2
2
2
Because two of the numbers have an exponent of 2, compare their factors.
2.4 < 2.45
2
2
.
Because the other two numbers have an exponent of 2, compare their factors.
2.4 < 2.45
2
2
.
2
4
5
4
2
2
2
.
2
3
. Only two of the numbers have the same exponent of 4. Compare
their factors.
2.81 < 3.2
4
4
.
The rest of the numbers can be ordered using their exponents.
2
6
4
5
4
4
5
.
3
Because the exponents are different, they can be used to order the numbers.
3<4<5<6
3
6
4
5
6
.
6
, 905,000
6
5
. Only
two of the numbers have the same exponent of 6. Compare their factors.
9.5 < 9.562301
6
is less than 9,562,301.
The rest of the numbers can be ordered using their exponents.
6
6
, 9,562,301.
Replace each _ with <, >, or = to make a true statement.
8
8
The two numbers have the same exponent. Compare their factors.
5.72 < 5.8
8
8
.
3
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9-5 Scientific Notation
3
4
3
3
4
. So, 35,400 =
.
3
2
. Because the exponent 2 is greater than the exponent 3, 0.042 >
3
5
.
_ 5,000,000
6
5
<
5,000,000.
MEDICINE Which type of molecule in the table has a greater mass? How many times greater is it than the other
type?
Because the exponent 18 is greater than the exponent 23, a molecule of penicillin has a greater mass. The
5
difference between the two exponents is 5. So, the mass of a molecule of penicillin is 10 times greater than a
molecule of insulin.
Find each product or quotient. Express using exponents.
5
a a
4
4
(n )(n )
2
3
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9-5 Scientific Notation
2
3
3x (4x )
MEASUREMENT
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9-5 Scientific Notation
MEASUREMENT Use the scale drawing shown.
a. What is the area of the lawn?
b. Suppose you want to fertilize the lawn. If one bag of fertilizer covers 2500 square feet, how many bags of
fertilizer should you buy?
a. To find the area of the lawn, find the area of the entire property and subtract the areas of the house and
driveway.
Area of the property:
Area of the house:
Area of the driveway:
Area of the lawn:
6750 1000 300 = 5450
So, the area of the lawn is 5450 square feet.
b. Because 2(2500) is only 5000, you need to buy 3 bags of fertilizer.
RANCHING The largest ranch in the world is in the Australian Outback. It is about 12,000 square miles, which is
five times the size of the largest United States ranch. Write and solve a multiplication equation to find the size of the
largest United States ranch.
So, the size of the largest United States ranch is 2400 square miles.
Write each expression using exponents.
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9-5 Scientific Notation
Write each expression using exponents.
4 4 4 4 4
5
4 4 4 4 4=4
(6 6 6) 6
4
(6 6 6) 6 = 6
3 2 3 2 2
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