Question

According to the National Oceanic and Atmospheric Administration, the blue whale is the largest animal on Earth. Blue whales weigh approximately 3×105 pounds. Narwhals, which are also a type of whale, weigh approximately 2×103 pounds. How many times heavier is the blue whale's weight than the narwhal's weight?

Answer 1

Answer: The blue whale's weight is 150 times heavier than the narwhal's weight.

Step-by-step explanation:

Given: Weight of Blue whale = $3\times10^5\text{ pounds}$

Weight of Narwhal = $2\times10^3\text{ pounds}$

Number of times blue whale's weight  is heavier than the narwhal's weight = $=\dfrac{\text{Weight of Blue whale}}{\text{Weight of Narwhal }}$

$=\dfrac{3\times10^5}{2\times10^3}\\\\=1.5\times10^{5-3}\ \ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=1.5\times10^2\\\\=1.5\times100=150$

Hence, the blue whale's weight is 150 times heavier than the narwhal's weight.