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1. Compare 364,879; 463,000; and 436,765 using scientific notation. Which number has the least value?(1 point)%0D%0AResponses%0D%0A%0D%0A4.36765 ×105%0D%0A4.36765 times 10 superscript 5 baseline%0D%0A%0D%0A3.64879 ×105%0D%0A3.64879 times 10 superscript 5 baseline%0D%0A%0D%0A364,879%0D%0A364,879%0D%0A%0D%0A4.63 ×105

2. Use scientific notation to compare these numbers: 12,740,876,635; 1,345,763,334; and 12,920,370,000, which has the greatest value?(1 point)%0D%0AResponses%0D%0A%0D%0A1.2740876635×1010%0D%0A1.2740876635 times 10 superscript 10 baseline%0D%0A%0D%0A1.345763334×109%0D%0A1.345763334 times 10 superscript 9 baseline%0D%0A%0D%0A1.292037×1010%0D%0A1.292037 times 10 superscript 10 baseline%0D%0A%0D%0A12,920,370,000

3. Compare 7.6 × 10−25 and 6.7 × 10−52. Which statement is true?(1 point)%0D%0AResponses%0D%0A%0D%0A7.6 × 10−25 = 6.7 × 10−52%0D%0A7.6 times 10 Superscript negative 25 Baseline equals 6.7 times 10 Superscript negative 52 Baseline%0D%0A%0D%0A7.6 × 10−25 > 6.7 × 10−52%0D%0A7.6 times 10 Superscript negative 25 Baseline is greater than 6.7 times 10 Superscript negative 52 Baseline%0D%0A%0D%0A7.6 × 10−25 ≤ 6.7 × 10−52%0D%0A7.6 times 10 Superscript negative 25 Baseline is less than or equal to 6.7 times 10 Superscript negative 52 Baseline%0D%0A%0D%0A7.6 × 10−25 < 6.7 × 10−52

4. Which set of numbers is arranged in descending order?(1 point)%0D%0AResponses%0D%0A%0D%0A7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30%0D%0A7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 Baseline%0D%0A%0D%0A7.2 × 10−30, 7 × 10−30, 7.6 × 10−25, 7.2 × 10−25%0D%0A7.2 times 10 Superscript negative 30 Baseline , 7 times 10 Superscript negative 30 Baseline , 7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 25 Baseline%0D%0A%0D%0A7.6 × 10−25, 7.2 × 10−30, 7.2 × 10−25, 7 × 10−30%0D%0A7.6 times 10 Superscript negative 25 Baseline , 7.2 times 10 Superscript negative 30 Baseline , 7.2 times 10 Superscript negative 25 Baseline , 7 times 10 Superscript negative 30 Baseline%0D%0A%0D%0A7 × 10−30, 7.2 × 10−25, 7.2 × 10−30, 7.6 × 10−25

5. In which set are the numbers arranged in ascending order?(1 point)%0D%0AResponses%0D%0A%0D%0A0.00125, 0.00225, 0.000325, 0.00325%0D%0A0.00125, 0.00225, 0.000325, 0.00325%0D%0A%0D%0A0.000325, 0.00225, 0.00125, 0.00325%0D%0A0.000325, 0.00225, 0.00125, 0.00325%0D%0A%0D%0A3.25 × 10−3, 2.25 × 10−3, 3.25 × 10−4, 1.25 × 10−3%0D%0A3.25 times 10 Superscript negative 3 Baseline , 2.25 times 10 Superscript negative 3 Baseline , 3.25 times 10 Superscript negative 4 Baseline , 1.25 times 10 Superscript negative 3 Baseline%0D%0A%0D%0A3.25 × 10−4, 1.25 × 10−3, 2.25 × 10−3, 3.25 × 10−3

3 answers

Let's break down each question and calculate the answers step by step.

1. Compare 364,879; 463,000; and 436,765 using scientific notation.

  • 364,879 in scientific notation is 3.64879 × 10^5
  • 463,000 in scientific notation is 4.63 × 10^5 (or 4.63000 × 10^5 for more precision)
  • 436,765 in scientific notation is 4.36765 × 10^5

To compare them:

  • 3.64879 × 10^5
  • 4.36765 × 10^5
  • 4.63 × 10^5

The number with the least value is 3.64879 × 10^5, which corresponds to 364,879.

Answer: 364,879

2. Use scientific notation to compare these numbers: 12,740,876,635; 1,345,763,334; and 12,920,370,000.

  • 12,740,876,635 in scientific notation is 1.2740876635 × 10^10
  • 1,345,763,334 in scientific notation is 1.345763334 × 10^9 (which can also be written as 0.1345763334 × 10^10)
  • 12,920,370,000 in scientific notation is 1.292037 × 10^10

Now comparing:

  • 1.2740876635 × 10^10
  • 0.1345763334 × 10^10
  • 1.292037 × 10^10

The greatest value is 1.292037 × 10^10, which corresponds to 12,920,370,000.

Answer: 12,920,370,000

3. Compare 7.6 × 10−25 and 6.7 × 10−52.

To compare these:

  • 7.6 × 10^−25: Since the exponent is more negative, the term represents a larger negative number.
  • 6.7 × 10^−52: This is much smaller than 7.6 × 10^−25 due to the larger negative exponent.

Thus: 7.6 × 10−25 > 6.7 × 10−52

Answer: 7.6 × 10−25 > 6.7 × 10−52

4. Which set of numbers is arranged in descending order?

Given the numbers:

  • 7.6 × 10−25
  • 7.2 × 10−25
  • 7.2 × 10−30
  • 7 × 10−30

Descending order would have the largest values first. Here’s the comparison:

  • 7.6 × 10−25
  • 7.2 × 10−25
  • 7.2 × 10−30
  • 7 × 10−30

The proper descending order is: 7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30

So the correct rearrangement is:

Answer: 7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30

5. In which set are the numbers arranged in ascending order?

Given the numbers:

  • 0.00125
  • 0.00225
  • 0.000325
  • 0.00325

To arrange them in ascending order:

  • 0.000325
  • 0.00125
  • 0.00225
  • 0.00325

So the correct arrangement in ascending order is: 0.000325, 0.00125, 0.00225, 0.00325

Answer: 0.000325, 0.00225, 0.00125, 0.00325

In conclusion, here are the answers succinctly again:

  1. 364,879
  2. 12,920,370,000
  3. 7.6 × 10−25 > 6.7 × 10−52
  4. 7.6 × 10−25, 7.2 × 10−25, 7.2 × 10−30, 7 × 10−30
  5. 0.000325, 0.00125, 0.00225, 0.00325
1 is 3.64879 ×10^5
2. 1.292037×10^10
5. 3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3

bye!

Thank you for your responses! Here’s a quick recap of what you provided:

  1. 3.64879 × 10^5 (the least value)
  2. 1.292037 × 10^10 (the greatest value)
  3. 3.25 × 10^−4, 1.25 × 10^−3, 2.25 × 10^−3, 3.25 × 10^−3 (in ascending order)

If you have any more questions or need further assistance in the future, feel free to reach out. Goodbye and take care!

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