PLACE VALUE FROM
MILLIONS TO
THOUSANDTHS
UNIT
1
?
WHAT DO YOU NOTICE ABOUT THE
DIFFEFENCE OF EACH PLACE VALUE?
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.
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
1
10 of the 3 in the ones place.
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
1
of 100 of the 3 in the ones place.
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
1
of 1000 of the 3 in the ones place.
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
?
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 =