Math 6: 6.NS.6 & 6.NS.7

Front

What is 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 two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that they have in common.

Front

What is the relationship between GCF and the distributive property?

Back

The GCF can be factored out of an expression using the distributive property, allowing for simplification of the expression.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How can you apply the GCF to simplify the expression 36 + 42?

Back

You can factor out the GCF, which is 6, to rewrite the expression as 6(6 + 7).

Front

What is the significance of finding the GCF in real-life applications?

Back

Finding the GCF helps in solving problems involving equal distribution, such as making bouquets with the same number of items.

Front

If three bells toll at intervals of 12, 15, and 18 seconds, how do you determine when they toll together?

Back

You find the least common multiple (LCM) of the intervals to determine when they will toll together.

Front

What is 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 calculate the LCM of two numbers?

Back

You can calculate the LCM by using the formula: LCM(a, b) = (a * b) / GCF(a, b).

Front

How many times will three bells toll together in 30 minutes if they toll every 36 seconds?

Back

To find this, divide 30 minutes (1800 seconds) by the LCM of the tolling intervals.