scientific notation - 8th grade math · 2018-08-31 · express 870,000 in scientific notation 1....
TRANSCRIPT
SCIENTIFIC NOTATION
DO NOW-TURN AND TALK
• Have you heard of the word scientific notation?
• What do you know about it?
• Break apart the phrase.
SCIENTISTS
• 300,000,000,000,000,000,000,000,000,000,000,000,000, 000,000,000,000,000 kg
• Can you guess what weighs this much?
CAN YOU MATCH THESE BIG OBJECTS TO THEIR WEIGHTS
2,000,000,000,000,000,0
00,000,000,000,000 kg
60,000,000,000,000,
000,000,000,000 kg
300,000,000,000 kg
600,000,000 kg
180,000 kg
Blue Whale Earth
Population
Great
Pyramid of
Giza
Sun
EARTH
• 60,000,000,000,000, 000,000,000,000 kg
SUN
• 2,000,000,000,000,000,0 00,000,000,000,000 kg
BLUE WHALE
• 180,000 kg
GREAT PYRAMID OF GIZA
• 300,000,000,000 kg
HUMAN POPULATION
• 600,000,000 kg
CAN YOU MATCH THESE SMALL OBJECTS TO THEIR WEIGHTS?
• 0.00000000035 kg
• 0.00015 kg
• 0.000000000000000000000000030 kg
Grain of
Sand
Molecule Steam
GRAIN OF SAND
MOLECULE
STEAM
STANDARD FORM
• 0.00000000035 kg
• 0.00015 kg
• 0.000000000000000000000000030 kg
• 2,000,000,000,000,000,0 00,000,000,000,000 kg
• 60,000,000,000,000, 000,000,000,000 kg
• 300,000,000,000 kg
• 600,000,000 kg
• 180,000 kg
SCIENTIFIC NOTATION
• Scientific notation doesn't change the value of the number.
• Powers of 10 – the only base scientific notation uses
• Powers of Ten
• 101 = 10
• 102 = 10 𝑥 10 = 100
• 103 = 10 𝑥 10 𝑥 10 = 1,000
• 104 = 10 𝑥 10 𝑥 10 𝑥 10 = 10,000
• 105 = 10 𝑥 10 𝑥 10 𝑥 10 𝑥 10 = 100,000
**Pay attention
to the zeros
WRITING NUMBERS IN SCIENTIFIC NOTATION
• Lets look at the number 8,500
8,500 = 8.5 𝑡ℎ𝑜𝑢𝑠𝑎𝑛𝑑 8.5 𝑡ℎ𝑜𝑢𝑠𝑎𝑛𝑑 = 8.5 𝑥 1,000
8.5 𝑥 1,000 = 8.5 𝑥 103
• 8,500 = 8.5 𝑥 103
• 8,500 standard form
• 8.5 𝑥 103 scientific notation
A BIGGER NUMBER
•7,400,000,000 = 7.4 billion
•7,400,000,000
•7.4 𝑥 109
SCIENTIFIC NOTATION
•3.78 𝑥 106
• A coefficient and 10 raised to some power.
• The coefficient is always greater than or equal to one, and less than 10.
EXPRESS 870,000 IN SCIENTIFIC NOTATION
1. Write the number without the
comma.
870000
2. Place the decimal so that the first
number will be less than 10 but
greater than or equal to 1.
8.70000 x 10
3. Count how many places you had
to move the decimal point. This
becomes the exponent of 10
8.70000 x 10
4. Drop the zeros to the right of the
right-most non-zero digit.
8.7 𝑥 105
EXPRESS 56,300 IN SCIENTIFIC NOTATION
1. Write the number without the
comma.
2. Place the decimal so that the first
number will be less than 10 but
greater than or equal to 1.
3. Count how many places you had
to move the decimal point. This
becomes the exponent of 10
4. Drop the zeros to the right of the
right-most non-zero digit.
56300
5.6300 x 10
5.6300 x 10
5.63 𝑥 104
YOU TRY – 5 MINS.
Standard Form Scientific Notation
40,000
500,000,000
3,500
12,000
543,000
1.2 𝑥 104
5.0 𝑥 108
3.5 𝑥 103
4.0 𝑥 104
5.43 𝑥 105
REALLY SMALL NUMBERS
EXPRESS 0.000045 IN SCIENTIFIC NOTATION
1. Write the number without the
comma.
2. Place the decimal so that the first
number will be less than 10 but
greater than or equal to 1.
3. Count how many places you had
to move the decimal point. The
negative of this number becomes the
exponent of 10
4. Drop the zeros to the right of the
right-most non-zero digit.
000045
00004.5 x 10
00004.5 x 10
4.5 𝑥 10−5
EXPRESS 0.00000832 IN SCIENTIFIC NOTATION
1. Write the number without the
comma.
2. Place the decimal so that the first
number will be less than 10 but
greater than or equal to 1.
3. Count how many places you had
to move the decimal point. The
negative of this number becomes the
exponent of 10
4. Drop the zeros to the right of the
right-most non-zero digit.
00000832
000008.32 x 10
000008.32 x 10
8.32 𝑥 10−6
YOU TRY – 5 MINS.
Standard Form Scientific Notation
.0000000032
.024
.00000876
2.4 𝑥 10−2
8.76 𝑥 10−6
3.2 𝑥 10−9
Type equation here.
