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35 votes
35 votes
At a certain zoo, the average mass of one blue whale is measured to be 1.9 × 105

kilograms. Use scientific notation to express the mass of 140 blue whales.

User Mattias Nordberg
by
3.3k points

2 Answers

17 votes
17 votes

Final answer:

The mass of 140 blue whales, given that the average mass of one whale is 1.9 × 10⁵ kg, can be expressed in scientific notation as 2.66 × 10⁷ kg.

Step-by-step explanation:

The mass of one blue whale at a certain zoo is measured to be 1.9 × 10⁵kilograms. If we want to express the mass of 140 blue whales, we will multiply the mass of one whale by the number of whales:

  • 1.9 × 10⁵ kg (mass of one blue whale) × 140 (number of blue whales) = 2.66 × 10⁷ kg.

Here's the step-by-step calculation:

  • Start with the given average mass in scientific notation: 1.9 × 10⁵kg.
  • Multiply the coefficient by the number of whales: 1.9 × 140 = 266.
  • Keep the exponent the same because we're multiplying by a scalar, not an exponential value: 266 × 10⁵.
  • Adjust the coefficient to be less than 10 for proper scientific notation: 2.66 × 10⁷ kg (since 266 × 10⁵ is equivalent to 2.66 × 10⁷).

Therefore, the mass of 140 blue whales in scientific notation is 2.66 × 10⁷ kg.

User Benjamin Scharbau
by
2.6k points
11 votes
11 votes

Answer:

2.7930 ×
10^(4)

Step-by-step explanation:

1.9 × 105 × 140 = 27,930

Scientific notation: 2.7930 ×
10^(4)

User Rudi Angela
by
2.6k points