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Choose the letters of ALL of the numbers that are in proper scientific notation:
A) 
15 ×10^(3)
B) 
2.3 ×10^(8)
C) 
0.6 ×10^(2)
D) 
8+10^(4)
E) 
7.2 ×6^(5)

Choose the letters of ALL of the numbers that are in proper scientific notation:\newlineA) 15×103 15 \times 10^{3} \newlineB) 2.3×108 2.3 \times 10^{8} \newlineC) 0.6×102 0.6 \times 10^{2} \newlineD) 8+104 8+10^{4} \newlineE) 7.2×65 7.2 \times 6^{5}

Full solution

Q. Choose the letters of ALL of the numbers that are in proper scientific notation:\newlineA) 15×103 15 \times 10^{3} \newlineB) 2.3×108 2.3 \times 10^{8} \newlineC) 0.6×102 0.6 \times 10^{2} \newlineD) 8+104 8+10^{4} \newlineE) 7.2×65 7.2 \times 6^{5}
  1. Review definition scientific notation: Review the definition of proper scientific notation. Proper scientific notation requires a number to be expressed as a product of a number between 11 and 1010 and a power of 1010. The coefficient (the number between 11 and 1010) must have only one non-zero digit to the left of the decimal point.
  2. Evaluate option A: Evaluate option A 15×10315 \times 10^3. The coefficient is 1515, which is not between 11 and 1010. Therefore, this is not in proper scientific notation.
  3. Evaluate option B: Evaluate option B 2.3×1082.3 \times 10^8. The coefficient is 2.32.3, which is between 11 and 1010, and there is only one non-zero digit to the left of the decimal point. This is in proper scientific notation.
  4. Evaluate option C: Evaluate option C 0.6×1020.6 \times 10^2. The coefficient is 0.60.6, which is between 11 and 1010, and there is only one non-zero digit to the left of the decimal point. This is in proper scientific notation.
  5. Evaluate option D: Evaluate option D (8+104)(8 + 10^4).\newlineThis is not a product of a number and a power of 1010; it is a sum. Therefore, this is not in proper scientific notation.
  6. Evaluate option E: Evaluate option E 7.2×657.2 \times 6^5. This is a product of a number and a power of 66, not a power of 1010. Therefore, this is not in proper scientific notation.

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