Vocabulary
What term is defined below?
A way of expressing a composite number as a product of its prime factors.
Prime Factorization
Find the prime factorization of 54.
2 x 3 x 3 x 3
Write the following in exponential notation.
4 x 4 x 4 x 4 x 4 =
45
Solve using the distributive property.
9 × 15
(9 x 10) + (9 x 5) = 135
Estimate the product of 70 x 27.
70 x 30 = 2,100
What term is defined below?
A number obtained by raising a base number to an exponent.
Power
Find the prime factorization of 150.
2 x 3 x 5 x 5
Write the following in expanded form, and then standard form:
54
5 x 5 x 5 x 5
625
Solve using the distributive property.
7 × 18 =
(7 x 10) + (7 x 8) = 126
Estimate the product of 69 x 21 x 23.
70 x 20 x 20 = 28,000
What term is defined below?
In a power, the number of times the base is used as a factor.
Exponent
2 x 7 x 7
What is 5 to the power of 3?
125
Solve using partial products.
43 x 28 =
(40 x 20) + (40 x 8) + (3 x 20) + (3 x) = 1, 204
The students put together 12 jigsaw puzzles. Each puzzle had 345 pieces. How many puzzles pieces did they have in all?
4,140 puzzle pieces
What term is defined below?
Numbers in a problem that are easy to work with mentally.
Compatible Numbers
Find the prime factorization of 65.
5 x 13
What is 9 to the power of 1?
9
Estimate using compatible numbers:
143 x 39
140 x 40 = 560
538 x 46 =
24,748
What term is defined below?
A rule in mathematics that can be applied to all numbers.
Property
Find the prime factorization of 174.
2 x 3 x 29
What is 8 to the power of 0?
1
Estimate using compatible numbers.
541 x 12 x 99
500 X 10 X 100 = 500,000
Solve the following using the distributive property:
58 x 9
9 x (50 +8) = (9 x 50) + (9 x 8) = 522