OPERACIONES BASICAS (Suma, resta, multiplicación y division) Super facil - Para principiantes.

OPERACIONES BASICAS (Suma, resta, multiplicación y division) Super facil - Para principiantes.

Introduction to Basic Operations

In this section, the speaker introduces the concept of basic operations in mathematics, which include addition, subtraction, multiplication, and division.

Addition

  • Addition is an arithmetic operation that involves combining multiple quantities into one.
  • The symbol "+" represents addition.
  • The parts of an addition equation are the addends and the sum or total.

Subtraction

  • Subtraction is an operation that involves taking away or reducing a quantity from another.
  • The symbol "-" represents subtraction.
  • The parts of a subtraction equation are the minuend, subtrahend, and difference.

Multiplication

  • Multiplication is an operation that involves repeated addition or combining equal groups.
  • The symbol "x" or "*" represents multiplication.
  • The numbers being multiplied are called factors, and the result is called the product.

Division

  • Division is an operation that involves splitting a quantity into equal parts or determining how many times one number can be divided by another.
  • The symbol "÷" or "/" represents division.
  • The numbers involved in division are called dividend, divisor, quotient, and remainder (if applicable).

Examples of Addition and Subtraction

In this section, the speaker provides examples of addition and subtraction equations and demonstrates how to solve them.

Addition Examples

  • Example 1: 35 + 12 = 47
  • Units digit: 5 + 2 = 7
  • Tens digit: 3 + 1 = 4
  • Result: 47
  • Example 2: 46 + 38 = 84
  • Units digit: 6 + 8 =14 (4 stays)
  • Tens digit: Carry over from previous step (1) + 4 = 5
  • Result: 84
  • Example 3: 785 + 457 = 1242
  • Units digit: 5 + 7 =12 (2 stays)
  • Tens digit: Carry over from previous step (1) + 8 =9
  • Hundreds digit: Carry over from previous step (1) +7 =8
  • Result: 1242

Subtraction Examples

  • Example 1: 35 -12 =23
  • Units digit: Subtracting right to left, starting with the units place.
  • Subtracting 2 from 5 gives us a difference of 3.
  • Subtracting 1 from the tens place gives us a difference of 2.
  • Result: Difference is equal to 23.
  • Example 2:48-38=10
  • Units digit :Subtracting right to left, starting with the units place.
  • Subtracting eight from four is not possible, so we borrow one from the tens place. The eight becomes an eighteen and the four becomes a fourteen.
  • Subtracting three from fourteen gives us a difference of ten.
  • Result:Difference is equal to ten.
  • Example3 :785-457=328

*Units digit :Subtracting right to left, starting with the units place.

*Subtracting seven from five is not possible, so we borrow one from the tens place. The five becomes a fifteen and the seven becomes a seventeen.

*Subtracting seven from fifteen gives us a difference of eight.

*Subtracting five from seventeen gives us a difference of twelve.

*Result:Difference is equal to three hundred twenty-eight.

Examples of More Complex Subtraction

In this section, the speaker provides examples of more complex subtraction equations and demonstrates how to solve them.

  • Example 1: 726 - 537 = 189
  • Units digit: Subtracting right to left, starting with the units place.
  • Subtracting seven from six is not possible, so we borrow one from the tens place. The six becomes a sixteen and the two becomes a twelve.
  • Subtracting three from twelve gives us a difference of nine.
  • Subtracting five from sixteen gives us a difference of eleven.
  • Subtracting seven from eleven gives us a difference of four.
  • Result: Difference is equal to 189.
  • Example 2: 450 - 173 = 277
  • Units digit: Subtracting right to left, starting with the units place.
  • Subtracting three from zero is not possible, so we borrow one from the tens place. The zero becomes a ten and the five becomes a four.
  • Subtracting three from ten gives us a difference of seven.
  • Subtracting seven from fourteen gives us a difference of seven.
  • Subtracting nine from seventeen gives us a difference of eight.
  • Result: Difference is equal to 277.
  • Example 3: 7,000 -1,895 =5,105

*Units digit :Subtracting right to left, starting with the units place.

*Subtracting five from zero is not possible, so we borrow one from the tens place. The zero becomes a ten

Multiplication and Division

In this section, the speaker explains how to perform multiplication and division operations. They provide examples and demonstrate the step-by-step process for solving these mathematical operations.

Multiplication

  • To multiply two numbers, such as 2 and 31,560, you can break it down into smaller steps:
  • Multiply each digit of the second number (31,560) by the first digit (2) individually.
  • Add up all the results to get the final answer.

Division

  • The speaker introduces the different parts of a division operation:
  • Dividend: The number inside the "house" symbol.
  • Divisor: The number outside the "house" symbol.
  • Quotient: The result of dividing the dividend by the divisor.
  • Remainder: Any leftover amount after division.
  • When reading a division problem like "40 divided by 5," both numbers are mentioned in order.
  • To solve a division problem like "10 divided by 2," determine how many times the divisor (2) fits into the dividend (10) without going over. In this case, it fits five times exactly.
  • Use multiplication tables to find out how many times a number fits into another. For example, if dividing 10 by 2, check where in the multiplication table of 2 you find a product equal to or just below 10. In this case, it is at "2 x 5 = 10."
  • Perform subtraction to find any remainder after dividing. Subtracting "10 minus (2 x 5)" gives us zero as there is no remainder.

Examples

Example #1

Dividing "14 by 4":

  • Check where in the multiplication table of four you find a product equal to or just below fourteen. In this case, it is at "4 x 3 = 12."
  • Subtracting "14 minus (4 x 3)" gives us two as the remainder.
  • The result is 3 with a remainder of 2.

Example #2

Dividing "57 by 3":

  • Check where in the multiplication table of three you find a product equal to or just below fifty-seven. In this case, it is at "3 x 19 = 57."
  • There is no remainder after dividing.
  • The result is nineteen.

Example #3

Dividing "150 by 7":

  • Check where in the multiplication table of seven you find a product equal to or just below one hundred and fifty. In this case, it is at "7 x 21 = 147."
  • Subtracting "150 minus (7 x 21)" gives us three as the remainder.
  • The result is twenty-one with a remainder of three.

Example #4

Dividing "8.350 by 5":

  • Check where in the multiplication table of five you find a product equal to or just below eight thousand three hundred and fifty. In this case, it is at "5 x 1,670 = 8,350."
  • The result is one thousand six hundred seventy with no remainder.

These examples demonstrate how to perform division using whole numbers and decimals.

Division with Larger Numbers

In this section, the speaker explains how to perform division operations with larger numbers. They provide examples and demonstrate step-by-step processes for solving these mathematical operations.

Division

  • When dividing larger numbers like "320 divided by twelve," follow similar steps as before:
  • Determine how many times twelve fits into each digit of the dividend individually.
  • Subtract each partial product from the corresponding part of the dividend.
  • Continue dividing until there are no more digits in the dividend.
  • In the example "320 divided by twelve":
  • Twelve does not fit into three, so we move to the next digit.
  • Twelve fits two times into thirty-two, giving us a partial product of twenty-four. Subtracting this from thirty-two leaves us with eight.
  • Finally, twelve fits six times into eighty, giving us a partial product of seventy-two. Subtracting this from eighty leaves us with eight.

Example

Dividing "8,350 by five":

  • Determine how many times five fits into each digit of the dividend individually:
  • Five fits once into eight (partial product: five).
  • Five fits six times into eighty (partial product: thirty).
  • Five fits seven times into seventy (partial product: thirty-five).
  • The result is one thousand six hundred seventy with no remainder.

This example demonstrates how to perform division with larger numbers and decimals.

Conclusion

In this section, the speaker concludes the explanation of multiplication and division operations. They summarize the steps involved in solving these mathematical operations and emphasize that practice is key to mastering them.

  • Multiplication involves multiplying each digit of one number by each digit of another number and adding up all the results.
  • Division requires determining how many times a divisor can fit into each digit of a dividend without going over and subtracting to find any remainder.
  • Practice is essential for becoming proficient in multiplication and division.

The speaker provides examples throughout the video to illustrate these concepts.

Video description

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