(a) The Singapore Flyer cost $240 000 000 to build.
Write 240 000 000 in standard form.
(b) The planet Jupiter has a mass of 1.9 * 10^27 kg. The planet Earth has a mass of 5.97 * 10^24 kg.
How many more times is the planet Jupiter heavier than the planet Earth? Give your answer in standard form.
(a) 240 000 000 in standard form is 2.4 * 10^8.
(b) To find out how many more times Jupiter is heavier than Earth, we need to divide the mass of Jupiter by the mass of Earth.
The division would be: (1.9 * 10^27) / (5.97 * 10^24) = 3.18 * 10^(27-24) = 3.18 * 10^3.
So, the planet Jupiter is 3.18 * 10^3 times heavier than the planet Earth.
(a) To write 240,000,000 in standard form, we move the decimal point to the left until we have a number between 1 and 10.
240,000,000 = 2.4 x 10^8
(b) To calculate how many more times Jupiter is heavier than Earth, we divide the mass of Jupiter by the mass of Earth.
Jupiter's mass = 1.9 x 10^27 kg
Earth's mass = 5.97 x 10^24 kg
Jupiter's mass / Earth's mass = (1.9 x 10^27 kg) / (5.97 x 10^24 kg)
To divide, we subtract the exponents and divide the coefficients:
= (1.9 / 5.97) x (10^27 / 10^24)
= 0.317 x 10^(27 - 24)
= 0.317 x 10^3
= 3.17 x 10^2
Therefore, the planet Jupiter is approximately 317 times heavier than the planet Earth.