Perform The Division: { 0.7 \div 792 $}$

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Introduction

Division is a fundamental operation in mathematics that involves sharing a certain quantity into equal parts or groups. It is an essential concept in various mathematical disciplines, including arithmetic, algebra, and geometry. In this article, we will focus on performing division, specifically the division of a decimal number by a large integer.

Understanding the Problem

The problem at hand is to perform the division: 0.7÷7920.7 \div 792. This involves dividing a decimal number, 0.7, by a large integer, 792. To solve this problem, we need to understand the concept of division and the rules that govern it.

The Rules of Division

Division is the inverse operation of multiplication. It involves finding the quotient of two numbers, which is the result of dividing one number by another. The rules of division are as follows:

  • Division is only possible if the dividend (the number being divided) is greater than or equal to the divisor (the number by which we are dividing).
  • The quotient of two numbers is the result of dividing one number by another.
  • The remainder of a division operation is the amount left over after the division has been performed.

Performing the Division

To perform the division 0.7÷7920.7 \div 792, we need to follow the steps outlined below:

  1. Check if the dividend is greater than or equal to the divisor: In this case, 0.7 is less than 792, so we need to adjust the dividend to make it greater than or equal to the divisor.

  2. Adjust the dividend: To adjust the dividend, we can multiply both the dividend and the divisor by a power of 10. In this case, we can multiply both numbers by 1000 to make the dividend greater than or equal to the divisor.

  3. Perform the division: Once we have adjusted the dividend, we can perform the division by dividing the adjusted dividend by the divisor.

  4. Calculate the quotient and remainder: After performing the division, we can calculate the quotient and remainder using the following formulas:

    • Quotient = Dividend ÷ Divisor
    • Remainder = Dividend - (Quotient × Divisor)

Solving the Problem

Now that we have understood the rules of division and the steps involved in performing the division, let's solve the problem 0.7÷7920.7 \div 792.

Step 1: Adjust the Dividend

To adjust the dividend, we can multiply both the dividend and the divisor by 1000.

0.7×1000=7000.7 \times 1000 = 700

792×1000=792000792 \times 1000 = 792000

Step 2: Perform the Division

Now that we have adjusted the dividend, we can perform the division by dividing the adjusted dividend by the adjusted divisor.

700÷792000=0.00000088700 \div 792000 = 0.00000088

Step 3: Calculate the Quotient and Remainder

After performing the division, we can calculate the quotient and remainder using the following formulas:

  • Quotient = Dividend ÷ Divisor
  • Remainder = Dividend - (Quotient × Divisor)

Quotient = 0.00000088 Remainder = 700 - (0.00000088 × 792000) Remainder = 0

Conclusion

In this article, we have learned how to perform division, specifically the division of a decimal number by a large integer. We have also solved the problem 0.7÷7920.7 \div 792 using the steps outlined above. By following these steps, we can perform division and calculate the quotient and remainder with ease.

Final Answer

The final answer to the problem 0.7÷7920.7 \div 792 is:

0.000000880.00000088

Note: The final answer is a very small number, which is the result of dividing a decimal number by a large integer.

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Introduction

Division is a fundamental operation in mathematics that involves sharing a certain quantity into equal parts or groups. In our previous article, we discussed how to perform division, specifically the division of a decimal number by a large integer. In this article, we will answer some frequently asked questions (FAQs) about division.

Q1: What is the difference between division and multiplication?

A1: Division and multiplication are inverse operations. Division involves finding the quotient of two numbers, while multiplication involves finding the product of two numbers.

Q2: What is the rule for dividing a decimal number by a large integer?

A2: To divide a decimal number by a large integer, you need to adjust the decimal number to make it greater than or equal to the large integer. You can do this by multiplying both the decimal number and the large integer by a power of 10.

Q3: How do I perform division when the dividend is less than the divisor?

A3: When the dividend is less than the divisor, you need to adjust the dividend to make it greater than or equal to the divisor. You can do this by multiplying both the dividend and the divisor by a power of 10.

Q4: What is the quotient and remainder in division?

A4: The quotient is the result of dividing one number by another, while the remainder is the amount left over after the division has been performed.

Q5: How do I calculate the quotient and remainder in division?

A5: To calculate the quotient and remainder, you can use the following formulas:

  • Quotient = Dividend ÷ Divisor
  • Remainder = Dividend - (Quotient × Divisor)

Q6: What is the difference between a dividend and a divisor?

A6: The dividend is the number being divided, while the divisor is the number by which we are dividing.

Q7: Can I divide a negative number by a positive number?

A7: Yes, you can divide a negative number by a positive number. The result will be a negative number.

Q8: Can I divide a positive number by a negative number?

A8: Yes, you can divide a positive number by a negative number. The result will be a negative number.

Q9: What is the result of dividing zero by a non-zero number?

A9: The result of dividing zero by a non-zero number is zero.

Q10: What is the result of dividing a non-zero number by zero?

A10: The result of dividing a non-zero number by zero is undefined.

Conclusion

In this article, we have answered some frequently asked questions (FAQs) about division. We have discussed the rules of division, how to perform division, and how to calculate the quotient and remainder. By understanding these concepts, you can perform division with ease and solve problems involving division.

Final Answer

The final answer to the FAQs about division is:

  • Q1: Division and multiplication are inverse operations.
  • Q2: To divide a decimal number by a large integer, you need to adjust the decimal number to make it greater than or equal to the large integer.
  • Q3: When the dividend is less than the divisor, you need to adjust the dividend to make it greater than or equal to the divisor.
  • Q4: The quotient is the result of dividing one number by another, while the remainder is the amount left over after the division has been performed.
  • Q5: To calculate the quotient and remainder, you can use the following formulas: Quotient = Dividend ÷ Divisor, Remainder = Dividend - (Quotient × Divisor)
  • Q6: The dividend is the number being divided, while the divisor is the number by which we are dividing.
  • Q7: Yes, you can divide a negative number by a positive number. The result will be a negative number.
  • Q8: Yes, you can divide a positive number by a negative number. The result will be a negative number.
  • Q9: The result of dividing zero by a non-zero number is zero.
  • Q10: The result of dividing a non-zero number by zero is undefined.