Fácil e Rápido | APRENDA DIVISÃO EM 6 MINUTOS

Dicasdemat Sandro Curió

31 Jan 202206:41

Summary

TLDRThis educational video teaches viewers how to solve division problems step-by-step using simple examples. The presenter explains how to divide numbers like 12 by 3, 42 by 3, and more complex numbers such as 184 by 8. They use real-life examples, such as distributing oranges, to clarify concepts. The video emphasizes understanding the multiplication and subtraction steps within division and covers both exact divisions and those with remainders. Viewers will learn techniques to handle different division scenarios and are encouraged to practice the methods demonstrated.

Takeaways

🍊 Understanding Division: The video starts with a basic example using 12 oranges divided among 3 people, showing that each person gets 4 oranges, with no remainder.
➗ Division Concept: The result of a division is the number that, when multiplied by the divisor, gives the dividend. Example: 12 ÷ 3 = 4 because 4 × 3 = 12.
🔍 Exact Division: The video explains how to identify an exact division, where the remainder is zero, as seen in 12 ÷ 3 = 4 with a remainder of 0.
🧠 Larger Numbers: Examples with larger numbers, like 42 ÷ 3, demonstrate finding the quotient by dividing the numbers step-by-step, ensuring the closest number without exceeding the dividend.
🤔 Dividing by Smaller Numbers: Division with smaller remainders is discussed, like dividing 65 by 3, showing how to handle remainders at different stages.
🔄 Subtraction Technique: The video emphasizes using subtraction to determine how much of the dividend remains after each step, such as 18 - 16 = 2 in the example of 184 ÷ 8.
🔢 Remainders in Division: The importance of understanding remainders in division is highlighted, noting that remainders must be less than the divisor to complete the division process.
📊 Working with Decimal Divisions: An example of decimal division (like 1 ÷ 8) shows how to extend divisions by adding zeros after the decimal point to continue dividing.
📝 Division Strategies: Strategies for dividing numbers, like breaking them into manageable parts or using multiplication to check the quotient, are discussed.
⏰ Time Management: The video suggests practicing division problems within a set time to improve speed and accuracy, giving examples of solving within 6 minutes.

Q & A

What is the main topic of the video script?
-The main topic of the video script is teaching division, specifically how to divide numbers and understand the concept of remainders in division.
How many minutes does the presenter have to explain the division concept?
-The presenter has 6 minutes to explain the division concept.
What is the first example given in the script to illustrate division?
-The first example is dividing 12 oranges among 3 people.
What is the result of dividing 12 by 3 as per the script?
-The result of dividing 12 by 3 is 4, with no remainder, as each person gets 4 oranges.
How does the script explain finding the quotient when dividing 42 by 3?
-The script suggests finding a number that when multiplied by 3 gives a result close to but not exceeding 42, which in this case is 14 (since 14 x 3 = 42).
What is the method described in the script for dividing numbers that are close to a multiple of the divisor?
-The method involves finding the largest whole number that, when multiplied by the divisor, is less than or equal to the dividend, and then adjusting for any remainder.
What is the result of the division 65 by 3 according to the script?
-The result of dividing 65 by 3 is 21 with a remainder of 2, as 21 times 3 equals 63, and 65 minus 63 equals 2.
How does the script handle division when the divisor is 8, as shown in the example of 184 divided by 8?
-The script suggests starting with the largest number less than the dividend that is divisible by 8, which is 16 (2 times 8), and then subtracting this product from the dividend to find the remainder.
What is the significance of the number 10 in the division examples provided in the script?
-The number 10 is significant as it is used as a reference point to find the quotient when dividing by 8, as it is the largest number that can be multiplied by 8 to stay below the dividend.
How does the script handle division with remainders, as seen in the example of 40 divided by 8?
-The script shows that if there is a remainder after division, you can continue the process by placing a decimal point and adding more digits to the quotient until the remainder is zero or the desired level of precision is reached.
What is the final example of division given in the script?
-The final example of division given in the script is 12 divided by 5, which is not completed within the time limit set for the explanation.

Outlines

00:00

📚 Understanding Division through Simple Examples

In this section, the speaker explains how to perform basic division using real-life examples such as dividing 12 oranges among 3 people. The explanation introduces the concept of finding a number that, when multiplied by the divisor, equals the dividend. For instance, 12 divided by 3 equals 4 because 4 multiplied by 3 equals 12. The speaker also emphasizes verifying the division by checking the remainder, which should be zero in exact divisions.

05:00

🧮 Handling Larger Divisions Step by Step

The speaker moves on to more complex division problems, such as 42 divided by 3. They guide the viewer through the step-by-step process of dividing, checking, and subtracting, ensuring that the viewer understands how to reach the correct quotient. The speaker points out that the goal is to find the largest number that, when multiplied by the divisor, gets as close as possible to the dividend without exceeding it. The section includes an example of dividing 65 by 3, reinforcing the method of breaking the division into smaller, more manageable parts.

Mindmap

Keywords

💡Division

Division is the mathematical operation being explained throughout the video. It involves splitting a number into equal parts, as shown in examples like dividing 12 oranges among 3 people. The theme of the video revolves around breaking down division problems to ensure understanding.

💡Exact division

Exact division refers to a division operation where the result has no remainder, meaning the number divides evenly. The script mentions 'divisão exata' several times, such as when dividing 42 by 3, resulting in 14 with a remainder of zero.

💡Remainder

A remainder is the amount left over after division if the number doesn't divide evenly. The script frequently discusses checking if there's any remainder left, such as when dividing 65 by 3 and dealing with a leftover of 1 before continuing the process.

💡Multiplication

Multiplication is used to check the accuracy of a division. In the video, the teacher explains that division can be verified by multiplying the quotient by the divisor, as seen when explaining 12 ÷ 3 = 4, and checking by multiplying 4 × 3 = 12.

💡Quotient

The quotient is the result of a division operation. For example, when dividing 12 by 3, the quotient is 4. The video focuses on teaching how to find the quotient by performing divisions step-by-step.

💡Divisor

The divisor is the number by which another number is divided. In the video, it is used in examples like dividing 42 by 3, where 3 is the divisor. Understanding the role of the divisor is key to solving division problems.

💡Subtraction

Subtraction is used in the division process to calculate the remainder after each step of long division. For example, when dividing 42 by 3, 42 - 42 equals 0, meaning no remainder. The video illustrates how subtraction helps refine the division results.

💡Long division

Long division is a method used for dividing large numbers, involving multiple steps of division, multiplication, and subtraction. The video shows several examples, such as dividing 184 by 8, where the process is broken down step-by-step for clarity.

💡Carry down

Carry down refers to bringing down a digit from the dividend during the long division process when a smaller portion of the number needs further division. For example, when dividing 65 by 3, after dividing the first digit, the 5 is 'carried down' to continue the process.

💡Estimation

Estimation is a technique used in division to approximate the result by guessing a number that when multiplied by the divisor comes close to the dividend. In the video, the teacher advises estimating the quotient by finding a number close to but not greater than the dividend.

Highlights

Introduction to division with a practical example of dividing 12 oranges among 3 people.

Explanation of how to perform division by multiplying and checking for remainders.

Demonstration of a division with a remainder using the example of 22 divided by 3.

Teaching how to determine the quotient when dividing 42 by 3.

Use of the 'round down' method to find the quotient before the decimal point.

Clarification on how to handle numbers less than the divisor in division.

Division example of 65 by 3, emphasizing the process of finding the quotient.

Explanation of how to handle larger numbers in division, using 105 divided by 3 as an example.

Division of 184 by 8, showing how to find the quotient step by step.

Emphasizing the importance of not having a remainder greater than the divisor.

Division of 124 by 6, illustrating the process and confirming it's an exact division.

Division of 44 by 6, demonstrating how to handle smaller numbers in the dividend.

Division of 208 by 6, showing another example of an exact division.

Time reminder and a prompt to stay engaged with the content.

Division of 4 by 5, explaining the process and confirming it's an exact division.

Division of 1 by 8, highlighting the challenge and solution for this case.

Final division example of 12 by 5, wrapping up the tutorial.

Encouragement to share the video and continue learning.