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 3.5×102 in standard form?
350
Write 503 in word form.
Five hundred three
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 7.2×104 in standard form?
72,000
Write 7,000 + 500 + 40 + 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 0.0041 in scientific notation.
4.1 x 10-3
Write six hundred forty-eight thousand in standard form.
standard form: 648,000
A computer costs 1.2×103 dollars and a phone costs 9.8×102. 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 5,320,000 in scientific notation.
5.32 x 106
Write 63,407 in expanded form as products.
6 x 10 000 + 3 x 1 000 + 4 x 100 + 7 x 1
You type the number 456,000 into a calculator. Write this number in scientific notation.
4.56×1055
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 3.1×107 and 2.9×108.
Which is larger and why?
2.9×108 is larger because the exponent (8) represents more powers of 10.
Write 4.58 × 10³ in word form.
Four thousand five hundred eighty
The population of City A is 2.4×106 and City B is 3.1×105.
How many more people live in City A?
2.4×106 − 3.1×105 = 2.09×106 or 2,090,000