Respuesta :
Answer:
To determine which number is equivalent to "one million twenty-three thousand" and "one thousand twenty-three," we must match the given numbers with their corresponding forms. Let's go through each option:
One Million Twenty-Three Thousand:
- 1.023 x 10^3: This is written in scientific notation, indicating that 1.023 is multiplied by 10, raised to the power of 3 (equivalent to 1,000). Therefore, this option represents "1,023,000" since 1.023 multiplied by 10^3 equals 1,023,000.
That is essential- 1,023: This standard numerical representation matches "one million twenty-three thousand." However, it is important to note that this form does not explicitly mention the base (ten), so it is not strictly a base-ten numeral.
One Thousand Twenty-Three:
- 1,023 x 10^3: As explained before, this is written in scientific notation. Here, 1.023 is multiplied by ten and raised to the power of 3, resulting in 1,023,000.
- 1 x 1,000 + 2 x 10 + 3 x 1: This is an expanded form of the number, where we add the products of each digit with its corresponding place value. Evaluating this expression gives us 1,000 + 20 + 3 = 1,023.
Based on the explanations above, we can conclude that:
- "One million twenty-three thousand" is equivalent to the number represented by the option "1,023,000."
- "One thousand twenty-three" is equivalent to the number represented by the option "1 x 1,000 + 2 x 10 + 3 x 1" (which simplifies to "1,023").
Remember that when dealing with numbers, it is essential to carefully analyze the given forms and their corresponding values to ensure accurate interpretations and matching.
