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Integer and Fractional Parts
Toolkit 29
Integer and Fractional Parts
[
x
]
:
Integer part
{
x
}
:
Fractional part
[x]:\text{ Integer part}\qquad\{x\}:\text{ Fractional part}
[
x
]
:
Integer part
{
x
}
:
Fractional part
We can write
x
as:
\text{We can write }x\text{ as:}
We can write
x
as:
x
=
k
+
r
,
k
∈
Z
,
r
∈
R
,
0
≤
r
<
1
x=k+r,\qquad k\in\mathbb{Z},\;r\in\mathbb{R},\;0\le r<1
x
=
k
+
r
,
k
∈
Z
,
r
∈
R
,
0
≤
r
<
1
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AMC 10B 2023 (Problem 22)
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