Transcript

Welcome to Math with Mr. J! In this video, we're going to be taking a look at converting customary units of length, and the units of length that we're going to be using are feet, inches, yards, and miles. As you can see, there are eight problems or eight conversions that we're going to go through together in order to help you get this down.

Let's jump right into number one, where we have "2 feet equals how many inches?" Before I go any further, I want to mention that up top, in blue at the top of your screen, are some very helpful reference notes that you can use to take a look at when you're doing conversions.

For number one, we know that one foot equals twelve inches. So, if we have two feet, we need to do two times twelve, which gives us 24 inches. When we go from a larger unit of measure (a foot is larger than an inch), we multiply.

For number two, we're going from inches back to feet. So now we have "48 inches equals how many feet?" We need to split this 48 inches into groups of 12 because each one of those groups of 12 is a foot. So we're going to need to do 48 divided by 12, which gives us 4 feet. When we go from a smaller unit of measure (inches) to a larger one (feet), we use division.

For number three, we have "6 yards equals how many feet?" One yard equals three feet, so we have six of them. We need to multiply this by three, so six times three equals 18 feet. If we think of a yardstick, it has three feet. So, if we had six of them lined up, it's going to be 3 + 3 + 3 + 3 + 3 + 3, which is just easier to do 6 times 3, and that's 18.

For number four, "24 feet equals how many yards?" We need to split that 24 feet into groups of 3, or we can think of it as dividing it by 3. 24 divided by 3 is 8, and you can always double-check yourself by going back to feet. 8 yards is 24 feet because each one of those yards is 3 feet. So, we could do 8 times 3, and again, it gives us 24.

For number five, "5 feet equals how many inches?" Each one of those feet has 12 inches. So, we're going to do 5 times 12, which gives us 60 inches.

For number six, "6 feet equals how many yards?" How many feet in one yard? Well, 3. So, how many groups of 3 can I pull out of that 6 feet? Or, think of it as 6 divided by 3. That's going to give us 2, so 6 feet equals 2 yards.

For number seven, "2 yards equals how many inches?" If we take a look up here at the top, one yard is 36 inches, which is three feet. So, 36 inches. We need to do two times 36, two groups of 36, and if you think of it, a yardstick is 36 inches, so we have two of those. So, 2 times 36 is 72 inches.

Lastly, for number eight, "miles to feet." One mile equals 5,280 feet. So, we have two groups of that, two groups of 5,280. We need to do 5,280 times