1. Use scientific notation to determine which of these numbers is greater: 34,835,760 or 43,835,760. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)

Question

2. Use scientific notation to determine which of these numbers has the least value: 123,893, 31,892, or 12,786. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)

3. Use scientific notation to determine which of these numbers has the greatest value: 654,987,034; 645,897,430; or 546,789,340. Write your answer in scientific notation, expressed to the exact decimal place.(1 point)

4. Compare 0.0000635 and 0.000456. Write <%0D%0A<%0D%0A, >%0D%0A>%0D%0A, or =%0D%0A=%0D%0A in the blank.(1 point)%0D%0A0.0000635 0.000456

5. Which symbol makes the statement true? Write <%0D%0A<%0D%0A , >%0D%0A>%0D%0A , or =%0D%0A=%0D%0A in the blank.(1 point)%0D%0A5 × 10−11%0D%0A5%0D%0A %0D%0A×%0D%0A %0D%0A10%0D%0A−%0D%0A11%0D%0A 3 × 10−11

Answer 1

1. To compare 34,835,760 and 43,835,760 in scientific notation:

   • 34,835,760 = \(3.483576 \times 10^7\)
   • 43,835,760 = \(4.383576 \times 10^7\)

   Since \(4.383576 > 3.483576\), 43,835,760 is greater.

   Answer: \(4.383576 \times 10^7\)

2. To find which of the numbers 123,893; 31,892; or 12,786 has the least value in scientific notation:

   • 123,893 = \(1.23893 \times 10^5\)
   • 31,892 = \(3.1892 \times 10^4\)
   • 12,786 = \(1.2786 \times 10^4\)

   Comparing these, \(1.2786 \times 10^4\) is the smallest.

   Answer: \(1.2786 \times 10^4\)

3. To determine which of the numbers 654,987,034; 645,897,430; or 546,789,340 has the greatest value in scientific notation:

   • 654,987,034 = \(6.54987034 \times 10^8\)
   • 645,897,430 = \(6.45897430 \times 10^8\)
   • 546,789,340 = \(5.46789340 \times 10^8\)

   Since \(6.54987034 > 6.45897430 > 5.46789340\), the greatest is 654,987,034.

   Answer: \(6.54987034 \times 10^8\)

4. To compare 0.0000635 and 0.000456:

   • 0.0000635 = \(6.35 \times 10^{-5}\)
   • 0.000456 = \(4.56 \times 10^{-4}\)

   Since \(10^{-4} > 10^{-5}\), \(0.0000635 < 0.000456\).

   Answer: <

5. To compare \(5 \times 10^{-11}\) and \(3 \times 10^{-11}\):

   Since both numbers have the same exponent of \(-11\), we compare the coefficients:

   • 5 vs 3

   Since \(5 > 3\), we have \(5 \times 10^{-11} > 3 \times 10^{-11}\).

   Answer: >

Answer 2

ALL PERFECTT

Answer 3

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