The Greatest Common Factor also known as GCF is the largest number that can divide equally into two or more numbers.
For the problem they ask 'Which number pair has a 'GCF' of 6.
First let's look at the answer choice 'A' that gives us 18 and 54.
Now for this we need to list the factors of both 18 and 54. A factor being a number that can be multiplied by another number to get the sum.
18: 1, 2, 3, 6, 9, 18
54: 1, 2, 3, 6, 9, 18, 27, 54
So right away we can see the the largest number that can be divided into both of them equally is not 6, it is 18. This means we can mark out A as a possible answer.
Next let's try B and list the factors of both 30 and 42.
30: 1, 2, 3, 5, 6, 15, 30
42: 1, 2, 3, 6, 7, 14, 21, 42
Looks like we found our answer! The largest factor they have in common is 6!
I'm still going to go ahead and list the GCF's for answers C and D.
Step 1: Circle the place value of the digit to be rounded. This is the rounding digit. Step 2: Look to the neighboring digit on the right. Step 3: a) If the neighboring digit is less than five (0 - 4), keep the rounding digit the same.
To find the distance, set up a proportion. A proportion is two equal ratios set equal to each other. We form the ratios by using corresponding values. We write a ratio of and simplify.
We know . We know the distance on the map is 12 cm and 6 cm whish converts to 4.7 inches and 2.4 inches. We can write and
We set them equal.
and
To solve each proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.
<u>Step 1</u>
Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.
<u>Step 2</u>
The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.
Our final answer: l = 7.5 feet
We can check our answer by multiplying all the numbers together.