Exponent Rules
TRUE OR FALSE
43 x 45 = 48
43 x 45 = 415
TRUE
FALSE
WRITE IN SCIENTIFIC NOTATION
70,000
7 x 104
About 1 x 107 people live in Alaska. About 3 × 108 people live in Texas. About how many more people live in Texas than live in Alaska?
2.9 x 108
Place a number in each blank so that each equation is true.
4( ) x 45 = 412
4( 7 ) x 45 = 412
Put 6,000,000 on a number line.
6 x 106
96 x 93 = ?
99
WRITE IN SCIENTIFIC NOTATION
0.007
7 X 10 -3
There are about 2 million 8th grade students in the United States. They each send about 7300 texts a year. About how many stexts do all students send in one year? Express your answer in scientific notation.
About 1.46 x 1010
Place a number in each blank so that each equation is true.
57
______________ = 5( )
5( )
Answers Vary
Must use quotient rule.
57
______________ = 5( 10 )
5(-3)
Put 32,000,000 on a number line.
3.2 x 107
55 x 5-8 / 52 = ?
5-5
FIX THIS. WRITE IN SCIENTIFIC NOTATION.
70 x 105
7.0 x 106
There are about 57 million students in the United States. They each eat about 2200 school lunches over their schooling career. About how many school lunches do all students eat in one year? Express your answer in scientific notation.
1.254 x 1011
Place a number in each blank so that each equation is true.
7( ) x 7( ) = 70
7(-1) x 7(+1)= 70
Any numbers work for the exponents if they are opposites.
Put 42 on a number line.
4.2 x 101
2 × 106 x 4.5 × 10-2
9 x 104
FIX THIS. WRITE IN SCIENTIFIC NOTATION.
0.07 x 10-5
7 x 10-7
Here are the approximate masses of three planets, expressed in scientific notation:
Mercury: 3.3×1023; Venus: 4.87×1024; Earth: 5.98×1024.
Elena says that Earth has more than 10 times as much mass as Mercury. Is this correct? Explain how you know.
Yes, because it is about 18.12 times bigger.
(divide)
Place a number in each blank so that each equation is true.
5-3 x ( )-3 = 15( )
5-3 x ( 3 )-3 = 15( -3 )
What operation are these key words for:
"how many more"
vs.
"how many times more"
subtract
divide
12 × 108 ÷ 3 × 103
4 x 105
Is 704 the same as 7 x 104. EXPLAIN.
NO because
704 = 70x70x70x70= 24,010,000
and
7 x 104 = 7x10x10x10x10= 70,000
About 2.13 x 107 people live in Florida. About 1.93×106 people live in Nebraska. About how many more people live in Florida than live in Nebraska?
A) 1.937×107
B) 2×107
C) 2×106
D) 1.937×106
A) 1.937×107
2.13 x 107 - 1.93×106 = 1.937×107
What 3 things does a number in scientific notation have to include?
Number 1-9.9
Multiplication
Power of 10
Explain the process for adding/subtracting numbers in scientific notation.