Explain why 143 is not a prime number.
How do you know that 3^6 is not a prime number?
Determine the prime factorization of the number.
360
Determine the prime factorization of the number.
245
Determine the prime factorization of the number.
560
Determine the prime factorization of the number.
1620
Identify the common factors of 54 and 36.
Identify three common multiples of 54 and 36.
Identify the GCF and LCM of 54 and 36.
Identify 10 different rectangular prisms with whole-number dimensions that have a volume of 144 cm^3. Show your work.
The volume of a rectangular prism with whole-number dimensions has a volume that is a prime number. What are its dimensions? Use an example to support your explanation.
a) Calculate each power.
2^3
20^3
200^3
2000^3
b) Describe any patterns you see.
c) Use your pattern to calculate 20000^3.
Determine the missing numbers to make each statement true.
Determine the missing numbers to make each statement true.
Which prize is worth more? Explain your reasoning.
a prize on March 21, if $5 is given on March 1, five times as much on March 2 ($25), five times as much on March 3 ($125), and so on, to March 21
a prize of $9.5 billion
A total of 8 058 044 651 Web pages were searched by Google by the end of 2004. Express this number in scientific notation and in expanded form.
Write each number in standard form.
1.45 \times 10^5
Write each number in standard form.
9.6 \times 10^7
Write each number in standard form.
4.888 \times 10^4
Write each number in standard form.
5.67 \times 10^{12}
The total area of Canada is 9 984 670 km^2. Calculate the side length of a square with the same area. Show your work.
Calculate. Explain how you know that each answer is reasonable.
\sqrt {20}
Calculate. Explain how you know that each answer is reasonable.
\sqrt {345}
Calculate. Explain how you know that each answer is reasonable.
\sqrt {775}
Calculate. Explain how you know that each answer is reasonable.
\sqrt {2025}
Evaluate each expression.
\displaystyle
8.8 \div 2.2 \times 4 + (5.4 - 4.2)^2
Evaluate each expression.
\displaystyle
4 \times 2.8 - 1^5 + 4.8 \times 5
Evaluate each expression.
\displaystyle
\sqrt{31+ 10 \div 2} + 3 \times 2.5
Evaluate each expression.
\displaystyle
[12.5^2 -(3 + 2.6)^2]^2
Evaluate each expression.
\displaystyle
[(10- 2 \times 3)^2]^3
Evaluate each expression.
\displaystyle
5^2 -(11- 7)^2 \div (1 + 2^2)