Exponents
What does the “2” mean in 52?
The 2 is the exponent, meaning 5 is multiplied by itself 2 times. 5×5=25.
Write 4,000 in exponential form using base 10.
4 x 103
What is 3×102 in standard form?
300
Write 503 in expanded form.
5 x 102 + 3 x 100
A square garden has sides of 6 m. What is its area written using exponents?
62 =36 m2
What is the base and exponent in 34
Base = 3, Exponent = 4
Write 90,000 as a sum in expanded exponential form.
9 x 104
What is 7×104 in standard form?
70,000
Write 7 x 103+ 5 x 102+ 4 x 101 + 2 in standard form.
7,542
A scientist counts 3×105 bacteria. How many is that?
300 000 bacteria
What is 93 written in expanded form?
9 x 9 x 9
How would you write 1,920,000 using base 10 expanded exponential notation?
1 x 106 + 9 x 105 + 2 x 104
Write 4 000 000 in Powers of 10 notation.
4 x 106
Write six hundred forty-eight thousand in standard form.
standard form: 648,000
A computer costs 2×103 dollars and a phone costs 9×102. How much is each and which is more expensive?
Computer=$ 1 200
Phone = $980
Therefore, the computer is more expensive
($1,200 > $980).
Write in exponential form: 2×2×2×2×2×2
26
How many zeros are in 107
7 zeros (10,000,000)
Write 5 000 000 in Powers of 10 form.
5 x 106
Write 63,407 in expanded form.
6 x 104+ 3 x 103+ 4 x 102+ 7 x 100
You type the number 456,000 into a calculator. Write this number in expanded form.
4 x 105 + 5 x 104 + 6 x 103
If a square has side length s , how could you write its area using exponents?
s2
A number is written as 6×105+3×103+9×101.
What is the number in standard form?
603,090
Compare 3 ×107 and 2 ×108.
Which is larger and why?
2 ×108 is larger because the exponent (8) represents more powers of 10.
Write 4.58 × 10³ in standard form.
Four thousand five hundred eighty
The population of City A is 2×106 and City B is 3×105.
How many more people live in City A?
2 ×106 − 3 ×105
= 2 000 000 - 300 000
= 1 700 000
or 1.7 x 106 :)