place value from millions to thousandths unit 1. what happens when you multiply a number by powers...
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PLACE VALUE FROM
MILLIONS TO THOUSANDTHS
UNIT 1
WHAT
HAPP
ENS WHEN
YOU M
ULTIP
LY A
NUMBER
BY PO
WERS O
F 10?
?
WHAT DO YOU NOTICE ABOUT THE DIFFEFENCE OF EACH PLACE VALUE?
OUR NUM
BER
SYSTEM
IS
BASED O
N 10
This is what is called
the Power of
Ten!
LET’S LOOK AT PLACE VALUE WHEN EACH DIGIT IN THE NUMBER IS THE SAME
3,333.333
This 3 is in the ones place. It has a value of 3.
LET’S LOOK AT PLACE VALUE WHEN EACH DIGIT IN THE NUMBER IS THE SAME
3,333.333
This 3 is in the tens place. It has a value of 30.
LET’S LOOK AT PLACE VALUE WHEN EACH DIGIT IN THE NUMBER IS THE SAME
3,333.333
This 3 is in the hundreds place. It has a value of 300.
LET’S LOOK AT PLACE VALUE WHEN EACH DIGIT IN THE NUMBER IS THE SAME
3,333.333
This 3 is in the thousands place. It has a value of 3000.
THAT
IS T
HE
WHOLE
NUMBER
SIDE T
O THE LE
FT
OF TH
E DECIM
AL
Now let’s look to
the right of the
decimal.
LET’S LOOK AT PLACE VALUE WHEN EACH DIGIT IN THE NUMBER IS THE SAME
3,333.333
This 3 is in the tenths place. It has a value of of the 3 in the ones place.
110
LET’S LOOK AT PLACE VALUE WHEN EACH DIGIT IN THE NUMBER IS THE SAME
3,333.333
This 3 is in the hundredths place. It has a value
of of the 3 in the ones place.
1100
LET’S LOOK AT PLACE VALUE WHEN EACH DIGIT IN THE NUMBER IS THE SAME
3,333.333
This 3 is in the thousandths place. It has a value
of of the 3 in the ones place.
11000
PRACTICE 1:
25 x 103 = 25 x (10 x 10 x 10) = 25 x 1000 25.000
= 25,000
PRACTICE 2:
32 x 105 = 32 x (10 x 10 x 10 x 10 x 10) = 32 x 100,000 32.00000
= 3,200,000
PRACTICE 3:
46 x 106 = 46 x (10 x 10 x 10 x 10 x 10 x 10)
= 46. x 1,000,000 46.000000
= 46,000,000
PRACTICE 4:
3.5 x 104 = 3.5 x (10 x 10 x 10 x 10) = 3.5 x 10,000 3.5000 = 35,000
PRACTICE 5:
5.1 x 102 = 5.1 x (10 x 10) = 5.1 x 100 5.10 = 510
PRACTICE 6:
6.73 x 105 = 6.73 x (10 x 10 x10 x 10 x 10)
= 6.73 x 100,000 6.73000 = 673,000
WHAT
HAPP
ENS WHEN
YOU M
ULTIP
LY A
NUMBER
BY PO
WERS O
F 10?
?
WHAT
HAPP
ENS WHEN
YOU M
ULTIP
LY A
NUMBER
BY PO
WERS O
F 10?
The exponent above the ten indicates how many places the decimal point is moving to the right because you are multiplying making the number 10 times greater when you multiply by the power of ten.
INDEPENDENT PRACTICE (INTERACTIVE NOTEBOOK)
1. 3 x 106 =
2. 12 x 102 =
3. 72 x 109 =
4. 8.6 x 104 =
5. 7.5 x 105 =
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