Question

Which of the following statements are true? Select ALL that apply.

A.3×104is50timesgreaterthan6×102
B.5×102is100timesgreaterthan5×10−2
C.7×10−5is5000timesgreaterthan1.4×10−9
D.8×10−12is0.0001timesgreaterthan8×10−8
E.2×10−6is0.01timesgreaterthan2×10−4
F.1.8×10−3is0.00002timesgreaterthan9×104

Answer 1

After evaluating each statement comparing numbers in scientific notation, it's evident that statements A, B, and C are true, while statements D, E, and F are false.

Step-by-step explanation:

The question involves determining the truthfulness of statements about the comparative value of numbers written in scientific notation. We will examine each statement to see if it is true or false.

• A. 3×104 is 50 times greater than 6×102.
  To examine if this is true, we divide 3×104 by 6×102. This gives 3×102 / 6, which simplifies to 50. Therefore, statement A is true.
• B. 5×102 is 100 times greater than 5×10−2.
  Again, we divide 5×102 by 5×10−2 to get 5×104, which is 100 times 5×102. Statement B is true.
• C. 7×10−5 is 5000 times greater than 1.4×10−9.
  After dividing 7×10−5 by 1.4×10−9, we get 5×104, indicating that statement C is true.
• D. 8×10−12 is 0.0001 times greater than 8×10−8.
  This statement is false, since 8×10−8 is actually the larger number.
• E. 2×10−6 is 0.01 times greater than 2×10−4.
  This is false because 2×10−4 is the larger number, not the other way around.
• F. 1.8×10−3 is 0.00002 times greater than 9×104.
  This statement is evidently false as 9×104 is significantly larger than 1.8×10−3.

In summary, the true statements are A, B, and C.