Number System Review - Grade 6

Front

What is the definition of the Greatest Common Factor (GCF)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you find the GCF of 12 and 42?

Back

List the factors of each number: Factors of 12: 1, 2, 3, 4, 6, 12; Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42. The common factors are 1, 2, 3, and 6. The GCF is 6.

Front

What is the definition of the Least Common Multiple (LCM)?

Back

The LCM of two or more numbers is the smallest number that is a multiple of all of them.

Front

How do you find the LCM of 6 and 8?

Back

List the multiples of each number: Multiples of 6: 6, 12, 18, 24, 30, 36, ...; Multiples of 8: 8, 16, 24, 32, ... . The smallest common multiple is 24.

Front

What is the formula for the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

Is 2(9 + 12) = 42? Explain why or why not.

Back

Yes, because 2•9 = 18 and 2•12 = 24; 18 + 24 = 42.

Front

What is a prime number?

Back

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Front

What is a composite number?

Back

A composite number is a natural number greater than 1 that is not prime, meaning it has more than two positive divisors.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.

Front

What is the definition of a whole number?

Back

Whole numbers are non-negative numbers without fractions or decimals, including 0, 1, 2, 3, ...