USING SCIENTIFIC NOTATIONSIN
CALCULATIONS
•Using scientific notation in calculations allows
you to handle very large or very small
numbers more easily, especially in science,
engineering, and mathematics.
4.
USING SCIENTIFIC NOTATIONSIN
CALCULATIONS
EXAMPLE:
1. A telescope records light energy from two distant
stars:
• Star A emits 4,700,000 joules of energy.
• Star B emits 33,000,000 joules of energy.
What is the total amount of energy received from
both stars?
5.
USING SCIENTIFIC NOTATIONSIN
CALCULATIONS
EXAMPLE:
2. A rocket's initial mass (including fuel) is 2.4×106
kilograms. After burning fuel during launch, its
mass decreases to 1.6×106
kilograms. How much
mass was lost during launch?
6.
USING SCIENTIFIC NOTATIONSIN
CALCULATIONS
EXAMPLE:
3. A space probe travels at a speed of 2.5×104
meters per second. How far will it travel in 3.2×106
seconds?
7.
USING SCIENTIFIC NOTATIONSIN
CALCULATIONS
EXAMPLE:
4. A small meteorite has a mass of 3.6×104
grams
and a volume of 1.2×102
cubic centimeters. What
is the density of the meteorite in grams per cubic
centimeter?
8.
USING SCIENTIFIC NOTATIONSIN
CALCULATIONS
TRY THIS OUT!
1. A scientist is analyzing three samples of a rare gas
stored in different containers.
• Container A holds 6.4×105
particles.
• Container B holds 3.2×105
particles.
• Container C has a total of 9.6×106
particles, which were
evenly distributed into 3 containers.
Question:
How many more particles are in Container A and B
combined compared to each of the smaller containers from
C?
9.
MULTIPLYING SCIENTIFIC NOTATION
Arocket mission uses three fuel tanks:
• Tank A: Holds 3.2×106
liters of fuel.
• Tank B: Holds 4.5×106
liters of fuel.
• Tank C: Holds 2.8×106
liters of fuel.
During launch, the rocket burns 7.5×106
liters of fuel. The
rocket then travels at a constant speed of 2.5×103
m/s for
1.2×104
s.
1. Calculate the distance and the remaining fuel.
2. Calculate average fuel used per second during launch
phase.
