What Is 47 In Expanded Form

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The number 47 can be expressed in expanded form as:

40 + 7

This is because 47 is composed of 40 ones (4 tens) and 7 ones.

In a more detailed expanded form, it can be written as:

(4 x 10) + 7

Or, using the standard place value representation:

40 (tens place) + 7 (ones place)

Expanded form is a way of expressing numbers by breaking them down into their constituent parts, using the standard place value system. This can help to clarify the composition of a number and make it easier to perform calculations.

For example, in the case of the number 47, the expanded form makes it clear that the number is composed of 40 tens and 7 ones. This can be useful when performing calculations, such as addition and subtraction, or when comparing numbers.

Here are a few more examples of numbers in expanded form:

• 23 = 20 + 3
• 145 = 100 + 40 + 5
• 278 = 200 + 70 + 8

Expanded form can be used to express any number, regardless of its size or complexity.

Why Is Expanded Form Important?

Expanded form is an important concept in mathematics, as it helps to clarify the composition of numbers and makes it easier to perform calculations. It is particularly useful when working with large numbers or when performing calculations that involve multiple digits.

Some of the benefits of expanded form include:

• Improved understanding of numbers: Expanded form helps to clarify the composition of numbers, making it easier to understand how numbers are structured.
• Easier calculations: Expanded form makes it easier to perform calculations, such as addition and subtraction, by breaking numbers down into their constituent parts.
• Better comparison of numbers: Expanded form makes it easier to compare numbers, by allowing us to see the relative size of different parts of the number.

Real-World Applications of Expanded Form

Expanded form has a number of real-world applications, including:

• Finance: Expanded form is used in finance to break down large numbers into smaller, more manageable parts. For example, a company's revenue might be expressed in expanded form as $100,000 + $50,000 + $10,000.
• Science: Expanded form is used in science to express large numbers in a more readable format. For example, the distance to the moon might be expressed in expanded form as 200,000 miles + 10,000 miles.
• Education: Expanded form is used in education to help students understand the composition of numbers and to make calculations easier.

In conclusion, expanded form is a powerful tool for expressing numbers in a clear and concise format. It is an important concept in mathematics, with a number of real-world applications in finance, science, and education.

How to Write Numbers in Expanded Form

Writing numbers in expanded form is a simple process that involves breaking down the number into its constituent parts. Here are the steps to follow:

1. Identify the number: Start by identifying the number that you want to express in expanded form.
2. Break down the number: Break down the number into its constituent parts, using the standard place value system.
3. Write the number in expanded form: Write the number in expanded form, using the standard notation.

For example, to write the number 47 in expanded form, we would follow these steps:

1. Identify the number: The number is 47.
2. Break down the number: Break down the number into its constituent parts: 40 (tens place) + 7 (ones place).
3. Write the number in expanded form: Write the number in expanded form: 40 + 7.

Here are a few more examples of numbers written in expanded form:

• 23 = 20 + 3
• 145 = 100 + 40 + 5
• 278 = 200 + 70 + 8

By following these steps, you can write any number in expanded form.

Tips for Writing Numbers in Expanded Form

Here are a few tips to keep in mind when writing numbers in expanded form:

• Use the standard notation: Use the standard notation for expanded form, which involves breaking down the number into its constituent parts using the standard place value system.
• Be clear and concise: Make sure that your expanded form expression is clear and concise, avoiding unnecessary complexity.
• Use parentheses: Use parentheses to group numbers together, making it easier to read and understand the expression.

By following these tips, you can write numbers in expanded form with confidence and accuracy.

In conclusion, writing numbers in expanded form is a simple process that involves breaking down the number into its constituent parts. By following the steps and tips outlined above, you can write numbers in expanded form with confidence and accuracy.

Common Mistakes to Avoid When Writing Numbers in Expanded Form

When writing numbers in expanded form, there are a few common mistakes to avoid. Here are some of the most common mistakes:

• Incorrect place value: One of the most common mistakes is to incorrectly identify the place value of a digit. For example, the number 47 might be written as 70 + 4, rather than 40 + 7.
• Missing digits: Another common mistake is to miss a digit when writing a number in expanded form. For example, the number 145 might be written as 100 + 40, rather than 100 + 40 + 5.
• Incorrect notation: Finally, it's also common to use incorrect notation when writing numbers in expanded form. For example, the number 278 might be written as 200 + 70 + 8, rather than 200 + 70 + 8.

To avoid these mistakes, make sure to double-check your work and use the standard notation for expanded form.

How to Avoid Common Mistakes

Here are a few tips to help you avoid common mistakes when writing numbers in expanded form:

• Double-check your work: Make sure to double-check your work to ensure that you have correctly identified the place value of each digit.
• Use the standard notation: Use the standard notation for expanded form, which involves breaking down the number into its constituent parts using the standard place value system.
• Pay attention to detail: Pay attention to detail when writing numbers in expanded form, making sure to include all digits and use the correct notation.

By following these tips, you can avoid common mistakes and write numbers in expanded form with confidence and accuracy.

In conclusion, writing numbers in expanded form is a simple process that involves breaking down the number into its constituent parts. By following the steps and tips outlined above, you can write numbers in expanded form with confidence and accuracy.

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