6 Simple Ways To Calculate 72 Divided By 6

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Have you ever found yourself in a situation where you needed to quickly calculate a simple division problem, like 72 divided by 6? Maybe you were in a meeting, or at the grocery store, or just sitting at home, and you needed to do a quick calculation in your head. If you're like most people, you probably reached for your phone or a calculator to do the math. But what if I told you there are several simple ways to calculate 72 divided by 6 without needing any technology?

In this article, we'll explore six different methods for calculating 72 divided by 6. From basic arithmetic to mental math tricks, we'll cover it all. Whether you're a student, a professional, or just someone who wants to improve their math skills, these methods will help you become more confident and proficient in your ability to do simple calculations.

Method 1: Basic Division

The most straightforward way to calculate 72 divided by 6 is to use basic division. Simply divide 72 by 6, and you'll get your answer. This method is easy, but it does require some basic arithmetic knowledge.

72 ÷ 6 = 12

Tip: Use a Number Line

If you're having trouble visualizing the division problem, try using a number line. A number line is a visual representation of numbers on a line, and it can help you see the relationship between numbers. For example, if you're dividing 72 by 6, you can start at 0 on the number line and count up 6 units at a time until you reach 72. Each 6 units you count is equivalent to 1 group of 6.

Method 2: Mental Math Trick

This mental math trick is a simple way to calculate 72 divided by 6. Simply multiply 6 by 12, and you'll get 72. This method works because multiplication and division are inverse operations, meaning that they "undo" each other.

6 x 12 = 72

Therefore, 72 divided by 6 is equal to 12.

Tip: Use Multiplication Tables

If you're having trouble remembering your multiplication tables, try creating a chart or table to help you memorize them. Multiplication tables can be a powerful tool for mental math calculations, and they can help you become more confident and proficient in your ability to do math.

Method 3: Repeated Subtraction

This method involves repeatedly subtracting 6 from 72 until you reach 0. Each time you subtract 6, you're essentially counting down 6 units.

72 - 6 = 66 66 - 6 = 60 60 - 6 = 54 54 - 6 = 48 48 - 6 = 42 42 - 6 = 36 36 - 6 = 30 30 - 6 = 24 24 - 6 = 18 18 - 6 = 12 12 - 6 = 6 6 - 6 = 0

As you can see, it takes 12 subtractions of 6 to reach 0. Therefore, 72 divided by 6 is equal to 12.

Tip: Use a Hundreds Chart

If you're having trouble visualizing the repeated subtraction, try using a hundreds chart. A hundreds chart is a visual representation of numbers from 0 to 100, and it can help you see the relationship between numbers. For example, if you're dividing 72 by 6, you can start at 72 on the hundreds chart and subtract 6 units at a time until you reach 0.

Method 4: Partial Quotients

This method involves finding partial quotients by dividing 72 by parts of 6. For example, you can divide 72 by 3 and then multiply the result by 2.

72 ÷ 3 = 24 24 x 2 = 48

Since 48 is less than 72, you know that the quotient is greater than 10. To find the exact quotient, you can subtract 48 from 72 and then divide the result by 6.

72 - 48 = 24 24 ÷ 6 = 4

Since 4 x 6 = 24, you know that the exact quotient is 12.

Tip: Use a Partial Quotients Chart

If you're having trouble visualizing the partial quotients, try using a chart or table to help you organize your work. A partial quotients chart can help you see the relationship between the dividend, divisor, and quotient.

Method 5: Guess and Check

This method involves making an educated guess about the quotient and then checking your answer by multiplying the quotient by the divisor.

For example, if you guess that the quotient is 10, you can multiply 10 by 6 to see if you get 72.

10 x 6 = 60

Since 60 is less than 72, you know that the quotient is greater than 10. You can try again, guessing a higher number.

12 x 6 = 72

As you can see, the quotient is indeed 12.

Tip: Use a Guess and Check Chart

If you're having trouble keeping track of your guesses, try using a chart or table to help you organize your work. A guess and check chart can help you see the relationship between your guesses and the actual quotient.

Method 6: Using Real-World Objects

This method involves using real-world objects to represent the dividend and divisor. For example, if you have 72 cookies and you want to package them in bags of 6, you can use real cookies to represent the dividend and bags to represent the divisor.

Simply divide the cookies into bags of 6 and count the number of bags.

As you can see, there are 12 bags of cookies.

Tip: Use Visual Aids

If you're having trouble visualizing the real-world objects, try using visual aids such as blocks, counting bears, or other manipulatives to represent the dividend and divisor. Visual aids can help you see the relationship between the numbers and make the calculation more concrete.

Gallery of Printable Math Worksheets

Now that you've learned six different methods for calculating 72 divided by 6, it's time to practice and apply these methods to real-world situations. Remember to use visual aids, charts, and tables to help you organize your work and see the relationship between numbers. With practice and patience, you'll become more confident and proficient in your ability to do math and solve problems.