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WRITING IN STANDARD FORM Write the number in standard form. \( \begin{array}{lll}\text { 19. } 3.03 \times 10^{4} & \text { 20. } 4.709 \times 10^{6} & \text { 21. } 1.544 \times 10^{10} \\ \text { 22. } 6.1 \times 10^{-3} & \text { 23. } 4.4 \times 10^{-10} & \text { 24. } 2.23 \times 10^{-6}\end{array} \)

Ask by Watkins Garza. in the United States
Mar 12,2025

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Here are the numbers in standard form: 1. \( 3.03 \times 10^{4} = 30,300 \) 2. \( 4.709 \times 10^{6} = 4,709,000 \) 3. \( 1.544 \times 10^{10} = 15,440,000,000 \) 4. \( 6.1 \times 10^{-3} = 0.0061 \) 5. \( 4.4 \times 10^{-10} = 0.00000000044 \) 6. \( 2.23 \times 10^{-6} = 0.00000223 \)

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Mind Expander

To write the numbers in standard form, we need to express them as a product of a number between 1 and 10 multiplied by a power of ten. For instance, \(3.03 \times 10^4\) means we move the decimal point in 3.03 four places to the right, which gives us 30,300. Similarly, \(4.709 \times 10^6\) becomes 4,709,000. Now, going the opposite direction for negative exponents: \(6.1 \times 10^{-3}\) means moving the decimal point three places to the left, resulting in 0.0061. For a tiny number like \(4.4 \times 10^{-10}\), we shift the decimal point ten places to the left, yielding 0.00000000044. It’s all about that decimal dance!

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