Prime Time
What is the name given to the representation of a composite number as the product of its prime factors?
Prime Factorization
What is the standard form of the power 35 ?
243
What is 127 000 000 written in scientific notation?
1.27 x 108
What are the two closest whole numbers to the square root of 92?
9 and 10
No calculators allowed!
Evaluate the expression: 88/2 x 3 + (8.4 - 4.4)2
("/" means divide)
148
What is the prime factorization of 308 written with prime factor powers?
22 x 7 x 11
Evaluate 7-3. Keep your answer in fraction form.
1/343
What is 1.405 x 105 written in standard form?
140 500
What is the smallest whole number that has a square root between 7 and 8?
50
No calculators allowed!
Evaluate the expression:
sqrt(31 + 5) + 3 x 5
("sqrt" means square root)
21
What's the missing factor?
2 x 2 x ___ x 7 x 11 = 924
3
Fill-in-the-blanks: The value of a power with a positive base and zero as the exponent is always equal to ______.
one
What is the number 600 892 010 written in expanded form?
6 x 108 + 8 x 105 + 9 x 104 + 2 x 103 + 1 x 10
What's the name given to a whole number whose square root is a whole number?
Perfect square
No calculators allowed!
Evaluate the expression: "Divide 147 by 3, take the square root of the product, then multiply the result by 8".
56
A Venn diagram has the factors 2, 3, 3 and 5 in its overlapping area. What is the GCF of the two numbers represented in the Venn diagram?
90
If 45 = 1 024, explain how this can be used to evaluate 46. Then, use this to evaluate 46.
Multiply 1 024 by 4.
So, 46 = 1 024 x 4 = 4 096
What is the following equal to in standard form?
5 x 107 + 4 x105 + 7 x 104 + 2 x 103 + 3 x 1
50 472 003
What is the square root (in standard form) of the number with prime factorization 24 x 32 x 52 ?
60
Calculators allowed!
Which option is cheaper (after 8 hours of talk time) and what's the cost of this option?
Option A: Cost = $20 + (time in min - 150) x $0.30
Option B: Cost = $40 + (time in min - 200) x $0.25
Option B, which costs $110.
The prime factorizations of two numbers are
23 x 3 x 5 and 2 x 32 x 52 x 11.
What is the LCM of the two numbers? Use a Venn diagram to help you solve.
19 800
A prize amount beginning with $3 on March 1st, triples each day up to and including April 1st (of the same year). What would be the prize amount on April 1st expressed as a power?
332 dollars
What is the total amount of water (written in scientific notation) contained in 8.2 billion people in the world, considering that the average human body contains about 40 L of water.
3.28 x 1011 L
What's the side length of a square that has the same area as a 8 m x 18 m rectangle?
12 m
No calculators allowed!
Evaluate the expression:
45 x sqrt(52 + 122) / (100 + 322 - 539)
("sqrt" means square root and "/" means divide)
1