Review Unit 3 - Scientific Notation
Common Core Standards
8. EE.3 Use numbers expressed in the form of a single digit times an
integer power of 10 to estimate very large or very small quantities, and to
express how many times as much one is than the other. For example,
estimate the population of the United States as 3 × 108 and the population
of the world as 7 × 109, and determine that the world population is more
than 20 times larger.
WARM-UP
Rewrite as an equivalent expression with a positive
exponent.
1) x −3
2) y −1
Rewrite as an equivalent expression with a negative
exponent.
1
3) 2
y
1
4)
5
8
Scientific Notation
Scientific Notation was invented to make
it easier to calculate with very large
and very small numbers.
9,700,000,000
x
60,000,000
582,000,000,000,000,000
(9.7 × 109 )(6 × 107 ) = 5.82 × 1017
REVIEW
Evaluate the expressions.
7
−1
2
130
−3
Evaluate the expressions for y = 10.
y −2
y0
REVIEW
Evaluate the expressions.
⎛5⎞
⎜ ⎟
⎝3⎠
−1
⎛ 1⎞
⎜ ⎟
⎝7⎠
−2
REVIEW
Name the place value of the digits.
5,083,601.004729
5
8
7
9
65,004,000,000.01023
6
4
1
3
REVIEW
Convert the decimals to fractions.
.0007
.00041
Convert the fraction to a decimal.
9
10,000
REVIEW
Write the numbers in scientific notation.
42,000
.00508
3,070,000
REVIEW
Write the numbers in decimal form.
5.6 × 10 4
2.7 × 10 −3
3 × 106
REVIEW
Evaluate the expressions.
3.4 × 10
97 × 100
34 ÷ 10
9,700 ÷ 100
REVIEW
Copy the largest of the numbers.
1.2 × 105
7 × 10 −3
4.8 × 107
9 × 10 −9
9.8 × 103
6 × 10 −7
MORE REVIEW (1)
Evaluate the expressions for x = 5.
3x −2
7x −3
PRACTICE
Evaluate the expression
for y = 3.
y −4
Write the number in
scientific notation.
.0067
Convert the decimal to a
fraction.
.000001
Write the number in
decimal form.
1× 10
−5
PRACTICE
Evaluate the expressions.
2.5 × 1,000
2,500 ÷ 1,000
PRACTICE
Convert the fraction to a decimal.
67
1,000,000
FINAL QUESTION
Copy the largest of the numbers.
1.5 × 10 −2
7.2 × 10−3
3.7 × 10
−4