Work Out:(a) $4.75 \div 100=$(b) $0.063 \times 100=$(c) $ 100 − 17.2 = 100 - 17.2= 100 − 17.2 = [/tex]

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Work Out: Divisions, Multiplications, and Subtractions

In this article, we will be solving three different mathematical problems involving division, multiplication, and subtraction. These problems are designed to test your understanding of basic arithmetic operations and to help you develop your problem-solving skills.

Problem (a) $4.75 \div 100=$

To solve this problem, we need to divide 4.75 by 100. Division is a mathematical operation that involves finding the quotient of two numbers. In this case, we are dividing a decimal number by a whole number.

Division of Decimal Numbers

When dividing a decimal number by a whole number, we need to follow the standard division rules. We will divide the decimal number by the whole number, and the result will be a decimal number.

To solve this problem, we can use long division or a calculator. Using a calculator, we get:

4.75÷100=0.04754.75 \div 100 = 0.0475

Therefore, the answer to problem (a) is 0.0475.

Problem (b) $0.063 \times 100=$

To solve this problem, we need to multiply 0.063 by 100. Multiplication is a mathematical operation that involves finding the product of two numbers.

Multiplication of Decimal Numbers

When multiplying a decimal number by a whole number, we need to follow the standard multiplication rules. We will multiply the decimal number by the whole number, and the result will be a decimal number.

To solve this problem, we can use the multiplication rule that states that when multiplying a decimal number by a whole number, we need to multiply the decimal number by the whole number and then move the decimal point to the right by the number of places equal to the number of decimal places in the decimal number.

Using this rule, we get:

0.063×100=6.30.063 \times 100 = 6.3

Therefore, the answer to problem (b) is 6.3.

Problem (c) $100−17.2=100 - 17.2=$

To solve this problem, we need to subtract 17.2 from 100. Subtraction is a mathematical operation that involves finding the difference between two numbers.

Subtraction of Decimal Numbers

When subtracting a decimal number from a whole number, we need to follow the standard subtraction rules. We will subtract the decimal number from the whole number, and the result will be a decimal number.

To solve this problem, we can use the subtraction rule that states that when subtracting a decimal number from a whole number, we need to subtract the decimal number from the whole number and then move the decimal point to the right by the number of places equal to the number of decimal places in the decimal number.

Using this rule, we get:

100−17.2=82.8100 - 17.2 = 82.8

Therefore, the answer to problem (c) is 82.8.

Conclusion

In this article, we solved three different mathematical problems involving division, multiplication, and subtraction. We used the standard rules for division, multiplication, and subtraction to solve these problems and found the answers to be 0.0475, 6.3, and 82.8, respectively.

Key Takeaways

  • Division involves finding the quotient of two numbers.
  • Multiplication involves finding the product of two numbers.
  • Subtraction involves finding the difference between two numbers.
  • When dividing a decimal number by a whole number, we need to follow the standard division rules.
  • When multiplying a decimal number by a whole number, we need to follow the standard multiplication rules.
  • When subtracting a decimal number from a whole number, we need to follow the standard subtraction rules.

Practice Problems

Try solving the following problems on your own:

  • 12.5÷100=12.5 \div 100=

  • 0.09×100=0.09 \times 100=

  • $100−25.6=100 - 25.6=$

Answer Key

  • 12.5÷100=0.12512.5 \div 100 = 0.125

  • 0.09×100=90.09 \times 100 = 9

  • $100−25.6=74.4100 - 25.6 = 74.4$
    Work Out: Divisions, Multiplications, and Subtractions - Q&A

In this article, we will be answering some frequently asked questions related to the problems we solved in the previous article. These questions are designed to test your understanding of the concepts and to help you develop your problem-solving skills.

Q: What is the difference between division and multiplication?

A: Division and multiplication are two different mathematical operations. Division involves finding the quotient of two numbers, while multiplication involves finding the product of two numbers.

Division vs. Multiplication

When dividing a number by another number, we are finding the number of times the second number fits into the first number. For example, when we divide 12 by 3, we are finding the number of times 3 fits into 12.

On the other hand, when multiplying a number by another number, we are finding the product of the two numbers. For example, when we multiply 12 by 3, we are finding the product of 12 and 3.

Q: How do I divide a decimal number by a whole number?

A: To divide a decimal number by a whole number, you need to follow the standard division rules. You can use long division or a calculator to divide the decimal number by the whole number.

Dividing Decimal Numbers

When dividing a decimal number by a whole number, you need to follow the standard division rules. You can use long division or a calculator to divide the decimal number by the whole number.

For example, when dividing 4.75 by 100, you would get 0.0475.

Q: How do I multiply a decimal number by a whole number?

A: To multiply a decimal number by a whole number, you need to follow the standard multiplication rules. You can use the multiplication rule that states that when multiplying a decimal number by a whole number, you need to multiply the decimal number by the whole number and then move the decimal point to the right by the number of places equal to the number of decimal places in the decimal number.

Multiplying Decimal Numbers

When multiplying a decimal number by a whole number, you need to follow the standard multiplication rules. You can use the multiplication rule that states that when multiplying a decimal number by a whole number, you need to multiply the decimal number by the whole number and then move the decimal point to the right by the number of places equal to the number of decimal places in the decimal number.

For example, when multiplying 0.063 by 100, you would get 6.3.

Q: How do I subtract a decimal number from a whole number?

A: To subtract a decimal number from a whole number, you need to follow the standard subtraction rules. You can use the subtraction rule that states that when subtracting a decimal number from a whole number, you need to subtract the decimal number from the whole number and then move the decimal point to the right by the number of places equal to the number of decimal places in the decimal number.

Subtracting Decimal Numbers

When subtracting a decimal number from a whole number, you need to follow the standard subtraction rules. You can use the subtraction rule that states that when subtracting a decimal number from a whole number, you need to subtract the decimal number from the whole number and then move the decimal point to the right by the number of places equal to the number of decimal places in the decimal number.

For example, when subtracting 17.2 from 100, you would get 82.8.

Q: What are some common mistakes to avoid when solving division, multiplication, and subtraction problems?

A: Some common mistakes to avoid when solving division, multiplication, and subtraction problems include:

  • Not following the standard division, multiplication, and subtraction rules.
  • Not using the correct order of operations (PEMDAS).
  • Not checking the answer for accuracy.
  • Not using a calculator or other tools to help with calculations.

Common Mistakes to Avoid

When solving division, multiplication, and subtraction problems, it's essential to follow the standard rules and to use the correct order of operations (PEMDAS). You should also check the answer for accuracy and use a calculator or other tools to help with calculations.

Q: How can I practice my division, multiplication, and subtraction skills?

A: You can practice your division, multiplication, and subtraction skills by:

  • Solving problems on your own.
  • Using online resources and practice tests.
  • Working with a tutor or teacher.
  • Playing math games and puzzles.

Practicing Division, Multiplication, and Subtraction Skills

To practice your division, multiplication, and subtraction skills, you can try solving problems on your own, using online resources and practice tests, working with a tutor or teacher, or playing math games and puzzles.

Conclusion

In this article, we answered some frequently asked questions related to the problems we solved in the previous article. We covered topics such as division, multiplication, and subtraction, and provided tips and advice for practicing these skills.

Key Takeaways

  • Division involves finding the quotient of two numbers.
  • Multiplication involves finding the product of two numbers.
  • Subtraction involves finding the difference between two numbers.
  • When dividing a decimal number by a whole number, you need to follow the standard division rules.
  • When multiplying a decimal number by a whole number, you need to follow the standard multiplication rules.
  • When subtracting a decimal number from a whole number, you need to follow the standard subtraction rules.

Practice Problems

Try solving the following problems on your own:

  • 12.5÷100=12.5 \div 100=

  • 0.09×100=0.09 \times 100=

  • $100−25.6=100 - 25.6=$

Answer Key

  • 12.5÷100=0.12512.5 \div 100 = 0.125

  • 0.09×100=90.09 \times 100 = 9

  • $100−25.6=74.4100 - 25.6 = 74.4$