Chapter 1 & 2 I- Flashcards
What is the definition of a positive integer?
A positive integer is a whole number greater than zero.
What are factors of a number?
Factors are integers that can be multiplied together to produce that number.
What is a multiple of a number?
A multiple of a number is the product of that number and an integer.
True or False: Every number is a multiple of itself.
True.
What is the least common multiple (LCM) of 4 and 5?
The LCM of 4 and 5 is 20.
Fill in the blank: The ________ of a number is the largest integer that divides that number without leaving a remainder.
factor
What is the greatest common divisor (GCD) of 8 and 12?
The GCD of 8 and 12 is 4.
What is the divisibility rule for 2?
A number is divisible by 2 if its last digit is even.
What is the divisibility rule for 3?
A number is divisible by 3 if the sum of its digits is divisible by 3.
True or False: A prime number has exactly two distinct factors.
True.
What does the term ‘indices’ refer to in mathematics?
Indices refer to the powers to which a number is raised.
What is 2 raised to the power of 3?
2 raised to the power of 3 is 8.
Fill in the blank: The expression 5^2 means 5 ________.
squared
What is the value of 10^0?
10^0 is equal to 1.
What is the product of 3^2 and 3^3?
The product is 3^(2+3) = 3^5 = 243.
What is the quotient of 4^5 divided by 4^2?
The quotient is 4^(5-2) = 4^3 = 64.
True or False: The number 1 is considered a prime number.
False.
What is the divisibility rule for 5?
A number is divisible by 5 if its last digit is 0 or 5.
What are the first five positive integers?
1, 2, 3, 4, 5.
Fill in the blank: The number 12 has ________ factors.
six
What is the prime factorization of 30?
The prime factorization of 30 is 2 × 3 × 5.
What is the square root of 16?
The square root of 16 is 4.
What is the result of (2^3) × (2^2)?
The result is 2^(3+2) = 2^5 = 32.
What is the least common multiple (LCM) of 6 and 8?
The LCM of 6 and 8 is 24.
True or False: All even numbers are divisible by 4.
False.
What is the value of 5^3?
5^3 is equal to 125.
