Perform The Following Divisions:1. \[$0.58 \div 0.5568\$\]2. \[$0.2 \div 0.12\$\]3. \[$0.7 \div 0.1995\$\]4. \[$1.5 \div 1.2\$\]

In mathematics, division is a fundamental operation that involves splitting a number into equal parts or groups. It is denoted by the symbol ÷ and is used to find the quotient of two numbers. In this article, we will perform four division operations and provide step-by-step solutions to each problem.

Division Operation 1: $0.58 ÷ 0.5568$

To perform this division operation, we will use the standard division algorithm. We will divide the dividend ($0.58$) by the divisor ($0.5568$) and find the quotient.

Step 1: Write the division problem

$0.58 ÷ 0.5568$

Step 2: Divide the dividend by the divisor

To divide $0.58$ by $0.5568$, we will use long division. We will divide the dividend by the divisor and find the quotient.

  0.58
-------------------
0.5568 | 1.04
  -0.55
  ------
    0.08

Step 3: Find the quotient

The quotient of $0.58$ divided by $0.5568$ is $1.04$.

Division Operation 2: $0.2 ÷ 0.12$

To perform this division operation, we will use the standard division algorithm. We will divide the dividend ($0.2$) by the divisor ($0.12$) and find the quotient.

Step 1: Write the division problem

$0.2 ÷ 0.12$

Step 2: Divide the dividend by the divisor

To divide $0.2$ by $0.12$, we will use long division. We will divide the dividend by the divisor and find the quotient.

  0.2
-------------------
0.12 | 1.67
  -0.12
  ------
    0.08

Step 3: Find the quotient

The quotient of $0.2$ divided by $0.12$ is $1.67$.

Division Operation 3: $0.7 ÷ 0.1995$

To perform this division operation, we will use the standard division algorithm. We will divide the dividend ($0.7$) by the divisor ($0.1995$) and find the quotient.

Step 1: Write the division problem

$0.7 ÷ 0.1995$

Step 2: Divide the dividend by the divisor

To divide $0.7$ by $0.1995$, we will use long division. We will divide the dividend by the divisor and find the quotient.

  0.7
-------------------
0.1995 | 3.51
  -1.99
  ------
    0.71

Step 3: Find the quotient

The quotient of $0.7$ divided by $0.1995$ is $3.51$.

Division Operation 4: $1.5 ÷ 1.2$

To perform this division operation, we will use the standard division algorithm. We will divide the dividend ($1.5$) by the divisor ($1.2$) and find the quotient.

Step 1: Write the division problem

$1.5 ÷ 1.2$

Step 2: Divide the dividend by the divisor

To divide $1.5$ by $1.2$, we will use long division. We will divide the dividend by the divisor and find the quotient.

  1.5
-------------------
1.2 | 1.25
  -1.2
  ------
    0.3

Step 3: Find the quotient

The quotient of $1.5$ divided by $1.2$ is $1.25$.

Conclusion

In this article, we performed four division operations and provided step-by-step solutions to each problem. We used the standard division algorithm and long division to find the quotient of each division operation. The results of the division operations are as follows:

• $0.58 ÷ 0.5568 = 1.04$
• $0.2 ÷ 0.12 = 1.67$
• $0.7 ÷ 0.1995 = 3.51$
• $1.5 ÷ 1.2 = 1.25$

In the previous article, we performed four division operations and provided step-by-step solutions to each problem. In this article, we will answer some frequently asked questions about division operations.

Q: What is division in mathematics?

A: Division is a fundamental operation in mathematics that involves splitting a number into equal parts or groups. It is denoted by the symbol ÷ and is used to find the quotient of two numbers.

Q: How do I perform a division operation?

A: To perform a division operation, you need to divide the dividend (the number being divided) by the divisor (the number by which we are dividing). You can use long division or the standard division algorithm to find the quotient.

Q: What is the difference between long division and the standard division algorithm?

A: Long division is a method of dividing a number by another number that involves breaking down the dividend into smaller parts and then dividing each part by the divisor. The standard division algorithm is a step-by-step process that involves dividing the dividend by the divisor and finding the quotient.

Q: How do I know if a division operation is correct?

A: To check if a division operation is correct, you can use the following steps:

1. Multiply the quotient by the divisor.
2. Add the remainder (if any) to the product.
3. Check if the result is equal to the dividend.

If the result is equal to the dividend, then the division operation is correct.

Q: What is the remainder in a division operation?

A: The remainder in a division operation is the amount left over after dividing the dividend by the divisor. It is denoted by the symbol r.

Q: Can a division operation have a remainder?

A: Yes, a division operation can have a remainder. For example, if you divide 17 by 5, the quotient is 3 and the remainder is 2.

Q: How do I handle a division operation with a remainder?

A: To handle a division operation with a remainder, you can use the following steps:

1. Divide the dividend by the divisor.
2. Find the quotient.
3. Find the remainder.
4. Write the result as a mixed number (quotient + remainder).

For example, if you divide 17 by 5, the result is 3 + 2/5.

Q: Can a division operation have a zero remainder?

A: Yes, a division operation can have a zero remainder. For example, if you divide 12 by 3, the quotient is 4 and the remainder is 0.

Q: How do I handle a division operation with a zero remainder?

A: To handle a division operation with a zero remainder, you can use the following steps:

1. Divide the dividend by the divisor.
2. Find the quotient.
3. Write the result as a whole number (quotient).

For example, if you divide 12 by 3, the result is 4.

Conclusion

In this article, we answered some frequently asked questions about division operations. We covered topics such as the definition of division, how to perform a division operation, and how to handle division operations with remainders. We hope that this article has provided a clear understanding of division operations and how to handle them.