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

Solución

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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Extra Insights

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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