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Math for Kids23 chapters | 325 lessons

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Instructor:
*Christine Quist*

Christine has taught 4th-5th grade, has worked as a Paraprofessional for Adult Learners, and has a master's degree in Curriculum and Instruction for Elementary Education.

Multiplication plays a very important role in math. But, we wouldn't get very far if we only ever multiplied one digit numbers. In this lesson, we will learn how to multiply four digit numbers by two digit numbers. Don't worry, it is easier than it sounds!

Congratulations on your new job! Although your boss told you how much you would make every month, you want to know how much you will make in a year, so you need to multiply your monthly income, a four digit number, by 12, the number of months in a year. Let's see how to do that!

Before we get started, let's review the rules of multiplying multi-digit numbers. First, write the numbers vertically, with the larger number on top of the smaller number. Second, the numbers must be lined up by place value. The ones place in the smaller number needs to be directly under the ones place in the larger number. 1000 x 15 would look like this:

Now that we have the rules, let's set up our income problem. Let's say you walk all the dogs in your neighborhood and earn a total of $1,350 every month for 12 months. Your problem will be $1,350 x 12. Take a look at the image.

Because you are multiplying by a two digit number, you will multiply through two times. But let's just look at the first round for now.

For the first round, we will be using the 2 in 12 (forget all about the 1 in the 12 for now). The 2 multiplies through the whole four digit number starting in the ones place, then moving to the tens, hundreds and ending at the thousands.

Start with 2 times 0 which equals 0 and place it in the ones place. Next is 2 times 5 which equals 10, place the 0 down below and carry over the 1. 2 times 3 is next which equals 6 plus the carried 1. And last is 2 times 1 in the thousands place, which equals 2.

Now we will use the number 1 in the 12, BUT, because the number you are now using to multiply is in the tens place, there will be no ones; so, you MUST place a 0 in the ones place of the answer (shown by the yellow 0). If you do not place that 0, you will get the wrong answer every time. The 1 will be now be multiplied with each of the four digits of $1,350.

Now that we have multiplied by all the digits in our bottom number, we will add the two answers together to form the final answer which is $16,200.

There are 5,280 feet in one mile. To get to your friend's house, you have to go 25 miles. How many feet is that? We take the amount of feet in one mile and multiply it by 25.

5,280 x 25 = ? feet

After writing our problem vertically by aligning the digits in the ones place, we can begin multiplying.

First, we use the 5 in 25 to multiply through the 5,280 starting with the 0. Take a look at the image.

Second, we use the 2 in 25, BUT before we multiply we have to put that 0 in the ones place below the first line. After that 0 is in the ones place, we can begin multiplying the 5,280 by the 2.

Finally, we add the two answers together to get the final answer! It is 132,000 feet to get to your friend's house. That's a lot of shoes to fill!

When multiplying a four digit number by a two digit number, each of the digits in the two digit number, starting with the digit in the ones place, will get their turn to multiply. You then add the two answers together to get your final answer.

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Math for Kids23 chapters | 325 lessons

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