Transcript Data and Large Numbers PPT

Data, Large Numbers
and Scientific Notation
Ms. Stewart
Grade 7 Math
COPY SLIDES WHEN
YOU SEE THIS
There are many ways to represent one
million forty-five thousand six
hundred.
Can you think of a way we can
represent this number?
Strategies for Writing Large
Numbers

You can write the number in standard form:
Put each digit in its place value position and
put zeros in the remaining places.
Millions
H T O
1
Thousands
H T O
0 4 5
Hundreds
H T O
6 0 0

You can write the number in expanded form:
You can use powers of 10 in the expanded form.
1 000 000 + 40 000 + 5000 + 600
= (1 X 1 000 000) + (4 X 10 000) + (5 X 1000) + (6 X 100)
6
4
3
2
= (1 X 10 ) + (4 X 10 ) + (5 X 10 ) + (6 X 10 )

You can use 1 million as a benchmark.
What is a benchmark?
A standard against which things (numbers in
our case) may be compared.
1 045 600 is more than a million but less than
2 million, therefore we can write:
1.0456 million

You can write the number in scientific
notation:
Express the number as a number between 1
and 10 multiplied by a power of ten.
1 045 600
6
= 1.0456 X 10
Writing a Number in Scientific
Notation
Write 48 200 000 in scientific notation.
Step 1:
Move the decimal point to the LEFT until the
number is between 1 and 10
4.8200000
4.82
Count how many places you have moved the
decimal point.
We moved the decimal 7 places.
Writing a Number in Scientific
Notation
Step 2:
We stated that we moved the decimal 7 places
therefore our power of 10 would be 107
So we would then state:
48 200 000 = 4.82 X 107
Using Negative Powers of 10
Can I write this number in scientific notation?
0.000092
YES! I can write this number in scientific
notation by using negative powers of 10.
Using Negative Powers of 10
Step 1:
Move the decimal point to the RIGHT until the
number is between 1 and 10
0.000092
9.2
Count how many places you have moved the
decimal point.
We moved the decimal 5 places.
Writing a Number in Scientific
Notation
Step 2:
We stated that we moved the decimal 5 places
therefore our power of 10 would be 10-5
So we would then state:
0.000092 = 9.2 X 10-5