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Unformatted text preview: of that place. Thus:
2 is worth two “units” (two “ones”), or 2 (= 2 × 1).
5 is worth five tens, or 50 (= 5 × 10).
4 is worth four hundreds, or 400 (= 4 × 100).
We can now write the number 452 as the sum of these products:
You should memorize
the names of all the place
values. 452 = 4 × 100 + 5 × 10 + 2 × 1
6
H
U
N
D
R
E
D B
I
L
L
I
O
N
S 9
T
E
N B
I
L
L
I
O
N
S 2
O
N
E B
I
L
L
I
O
N
S 5
H
U
N
D
R
E
D M
I
L
L
I
O
N
S 6
T
E
N M
I
L
L
I
O
N
S 7
O
N
E M
I
L
L
I
O
N
S 8
H
U
N
D
R
E
D T
H
O
U
S
A
N
D
S 9102
T
HT
E
UE
N
NN
DS
R
E
D
S
T
H
O
U
S
A
N
D
S T
H
O
U
S
A
N
D
S 3
U
N
I
T
S
O
R
O
N
E
S . 8
T
E
N
T
H
S 3
H
U
N
D
R
E
D
T
H
S 4
T
H
O
U
S
A
N
D
T
H
S 7
T
E
N T
H
O
U
S
A
N
D
T
H
S The chart to the left analyzes
the place value of all the digits
in the number:
692,567,891,023.8347
Notice that the place values to
the left of the decimal all end
in “s,” while the place values
to the right of the decimal all
end in “ths.” This is because
the suffix “ths” gives these
places (to the right of the decimal) a fractional value. Let us analyze the end of the preceding number: 0.8347
8 is in the tenths place, giving it a value of 8 tenths, or 8
.
10 3
3 is in the hundredths place, giving it a value of 3 hundredths, or ⎯ .
100
4
4 is in the thousandths place, giving it a value of 4 thousandths, or ⎯ .
1000
7
7 is in the ten thousandths place, giving it a value of 7 ten thousandths, or ⎯ .
10,000
To use a concrete example, 0.8 might mean eight tenths of one dollar, which would be 8
dimes or 80 cents. Additionally, 0.03 might mean three hundredths of one dollar, which
would be 3 pennies or 3 cents. Manhattan GMAT Prep
* 14 the new standard DIGITS & DECIMALS STRATEGY Chapter 1 Using Place Value on the GMAT
Some difficult GMAT problems require the use of place value with unknown digits.
A and B are both two–digit numbers, with A > B. If A and B contain the
same digits, but in reverse order, what integer must be a factor of (A − B)?
(A) 4 (B) 5 (C) 6 (D) 8 (E) 9 To solve this problem, assign two variables...
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This note was uploaded on 02/07/2014 for the course MIS 304 taught by Professor Mejias during the Spring '07 term at University of Arizona Tucson.
 Spring '07
 MEJIAS

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