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Question Which of the following is 264901 written in expanded form? Select the correct answer below: \( (2 \times 100000)+(6 \times 10000)+(4 \times 1000)+(9 \times 100)+(6 \times 10)+(1 \times 1) \) \( (1 \times 100000)+(6 \times 10000)+(9 \times 1000)+(4 \times 100)+(6 \times 10)+(2 \times 1) \) \( (2 \times 1000000)+(6 \times 10000)+(4 \times 1000)+(9 \times 100)+(6 \times 10)+(1 \times 0) \) \( (2 \times 10000)+(6 \times 1000)+(4 \times 100)+(9 \times 10)+(6 \times 1)+(1 \times 0) \) \( (2) \) Contentattribution

Ask by Mann Ingram. in the United States
Feb 27,2025

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Answer

\( (2 \times 100000)+(6 \times 10000)+(4 \times 1000)+(9 \times 100)+(6 \times 10)+(1 \times 1) \)

Solution

To write the number 264901 in expanded form, we need to express it as a sum of powers of 10. The expanded form of 264901 is: \( (2 \times 100000)+(6 \times 10000)+(4 \times 1000)+(9 \times 100)+(6 \times 10)+(1 \times 1) \) Therefore, the correct answer is: \( (2 \times 100000)+(6 \times 10000)+(4 \times 1000)+(9 \times 100)+(6 \times 10)+(1 \times 1) \)

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To break down the number 264901 into its expanded form, we start by noting the value of each digit based on its position. The '2' is in the hundred-thousands place, thus it represents \(2 \times 100000\). The '6' is in the ten-thousands place, so it is \(6 \times 10000\), and so on. Combining these gives us the expanded form: \( (2 \times 100000)+(6 \times 10000)+(4 \times 1000)+(9 \times 100)+(0 \times 10)+(1 \times 1) \). Now, here’s a fun quiz for your brain: Did you know that expanded form can be used to teach kids about place value while also sharpening their math skills? It’s like giving them a treasure map of numbers—each digit leading to its own special place in the big number treasure chest! And for the budding mathematicians: A common mistake in expanded form is incorrectly assigning values to the digits. For example, mixing up their places—confusing tens with hundreds can lead to serious miscalculations. Always double-check your position to keep those digits in their rightful homes!

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