High School

REVIEW FROM THE LAST UNITS:

1) Order the metric prefixes from largest to smallest (include base):
- Write the numerical value
- Write the numerical value in scientific notation
- SPELL the number meaning

2) Scientific Notation Examples:
a) Earth is 92,900,000 miles from the sun.
b) The thickness of a human hair is about 0.01 cm.
c) A raindrop is about [tex]5.0 \times 10^{-4}[/tex] liters.
d) The Great Pyramid of Giza initially was [tex]4.8 \times 10^2[/tex] feet tall.
e) The deepest point of Earth's oceans is 35,840 feet deep.
f) An ant weighs 0.000008818 pounds.
g) An energized cesium atom takes [tex]1.088 \times 10^{-10}[/tex] seconds to vibrate once.
h) Humpback Whales can reach masses of [tex]1.90 \times 10^5[/tex] kg.
i) [tex]9.2 \times 10^3 \times 2.7 \times 10^{-1}[/tex]
j) [tex]1.43 \times 10^7 / 3.1 \times 10^{-8}[/tex]

3) Conversion Questions:
a) How many hours are in 1 day?
b) How many cm are in 1 inch? (Which is bigger, cm or in?)
c) How many feet are in 1 meter? (Which is bigger, meters or feet?)
d) How many inches are in 1 foot?
e) How many minutes are in 1 hour?
f) How many mm are in 1 meter?
g) How many meters are in a km?
h) How many feet are in 1 mile?
i) How many cm are in a meter?
j) How many seconds are in a minute?
k) How many days are in 1 year?
l) How many feet are in 1 yard?
m) How many kilometers are in 1 mile? Which one is bigger: km or mi?

4) Practice some conversion problems.

Answer :

Final answer:

This question is about metric prefixes, scientific notation, and unit conversions in the metric system.

Explanation:

Metric Prefixes and Scientific Notation

The metric system uses prefixes to represent different sizes of units. The most common metric prefixes are kilo, centi, and milli. Scientific notation is a way to express large or small numbers using powers of ten.

(a) 89 Tm = 89 x 10^12 m

(b) 89 pm = 89 x 10^-12 m

(c) 711 mm = 711 x 10^-3 m

(d) 0.45 μm = 0.45 x 10^-6 m

Metric Prefixes and Unit Conversions

To convert between different metric units, you can use the metric prefixes. Here are some examples:

(a) 7.59 x 10^7 m = 759 km

(b) 0.0074 m = 7.4 cm

(c) 8.8 x 10^-11 m = 88 pm

(d) 1.63 x 10^13 m = 16.3 Mm