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수학 과외

Chapter2 :Arithmetic operations

Parenthesis
02:28
Pemdas
04:41

Pemdas

Hi everyone! So in the last video, we learned that anything with the parenthesis should be done first. But what if there is an problem like this: (3 + 4)-2*2? What do we do first after adding three and four? Subtract or multiply? There is a rule for this: First, if there is a parenthesis, you always do the things inside first. Second, if there is a multiplication or a division sign, you do them next. Last, if you see an addition or a subtraction sign, you do them last. Let’s look back at the example (3 + 4)-2*3. Here, our first step will be to add three and four because they are inside the parenthesis. So we will be traveling four steps to the right, and then another three steps to the right. How far are we away from zero? One, two, three, four, five, six, seven! So the answer to the part inside the parenthesis is seven. Now, we see a multiplication sign! This means that our next step is two multiply the two numbers next to the sign: 2 and three. Think of two movements. I’ll go with slide clap. Let’s repeat this three times. slide, clap, slide, clap, slide, clap. How many movements did we make? One, two, three, four, five, six! So the answer is six. Now, we see a subtraction sign. What do we subtract from what? First, let’s look at the left of the sign. We have the parenthesis, which we found the answer was seven. Next, to the right of the sign, we have the multiplication expression, which we found the answer was six. Okay, so our new problem is 7-6! We take seven steps to the right, then 6 six steps to the left. How far are we away from zero? One! So the final answer to this big problem is one. Let’s try another example. 4 ./. (1+1) + 3. Here, our first step will be to add one and one because they are inside the parenthesis. So we will be traveling one step to the right, and then another step to the right. How far are we away from zero? One, two! So the answer to the part inside the parenthesis is two. Now, we see a division sign! This means that our next step is to divide four, the number on the left of the sign, by 2, since that is what we got as the answer for the part inside the parenthesis. This time, let’s try the division without a partner. While you clap four times, count them by two’s with your mouth. One, two, one, two. How many times did you say “one, two?”. Correct! two times, so the answer to the division is two. Now, we see a plus sign. What two numbers do we add? First, let’s look at the left of the sign. We have the parenthesis, and then division, which we already solved and got the answer of two. Next, to the right of the sign, we have 3. Okay, so our new problem is 2+3! We take two steps to the right, then another three steps to the right. How far are we away from zero? One, two, three, four, five! So the final answer to this big problem is five.

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