What Is 47 In Expanded Form

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In expanded form, the number 47 can be written as:

40 + 7

This representation breaks down the number into its tens and ones components. The "40" represents the tens place, while the "7" represents the ones place.

In a more detailed expanded form, you can also write it as:

(4 x 10) + (7 x 1)

Or:

(4 x 10^1) + (7 x 10^0)

This format shows the number in terms of its place value, with the "10" representing the base and the exponent indicating the place value.

Expanded form is a useful way to represent numbers, especially when working with multi-digit numbers or performing mathematical operations. It helps to clarify the relationships between the digits and can make calculations easier to understand.

For example, if you want to add 47 to another number, writing it in expanded form as 40 + 7 can make it easier to perform the calculation.

Here is an example of how you can use expanded form to add 47 to 25:

25 + 47 = 25 + (40 + 7) = 25 + 40 + 7 = 65 + 7 = 72

Using expanded form can help to simplify calculations and make them more manageable.

Here are some examples of expanded form for different numbers:

• 23 = 20 + 3
• 56 = 50 + 6
• 94 = 90 + 4
• 137 = 100 + 30 + 7

Expanded form can be applied to any number, and it's a useful tool to have in your mathematical toolkit.

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How to Write Expanded Form

To write a number in expanded form, follow these steps:

1. Identify the number you want to write in expanded form.
2. Break down the number into its place value components (tens, ones, hundreds, etc.).
3. Write each component as a multiplication problem (e.g., 4 x 10^1).
4. Combine the components using addition.

For example, to write the number 456 in expanded form:

1. Identify the number: 456
2. Break down the number: 400, 50, 6
3. Write each component as a multiplication problem: (4 x 10^2), (5 x 10^1), (6 x 10^0)
4. Combine the components: (4 x 10^2) + (5 x 10^1) + (6 x 10^0)

Benefits of Expanded Form

Expanded form has several benefits, including:

• Simplifying calculations: Expanded form can make calculations easier to understand and perform.
• Improving understanding of place value: Expanded form helps to clarify the relationships between digits and their place value.
• Enhancing mathematical flexibility: Expanded form can be used to represent numbers in different ways, making it easier to work with complex calculations.

Common Uses of Expanded Form

Expanded form is commonly used in:

• Math education: Expanded form is often taught in elementary school math classes to help students understand place value and perform calculations.
• Mathematical modeling: Expanded form can be used to represent complex numbers and calculations in mathematical modeling.
• Computer programming: Expanded form can be used to represent numbers and calculations in computer programming.

Conclusion

In conclusion, expanded form is a useful way to represent numbers and perform calculations. By breaking down numbers into their place value components and combining them using addition, expanded form can simplify calculations and improve understanding of mathematical concepts.