Arithmetics Worksheets
OpenMaths.com 1.1.1
Ver 01:05/05/2010
NOTA La clasificación decimal de todos los temas de este manual tienen implícito el comienzo 1.1.1 correspondiente a 1
SCIENCE
1.1
MATHEMATICS
1.1.1
ARITHMETICS
COPYLEFT Este material así como los applets, powerpoints, videos y archivos de sonido asociados, puede ser distribuido bajo los términos y condiciones definidos en Open Publication License versión 1.0 o posterior (La versión más reciente está disponible en http://www.opencontent.org/openpub/). El contenido está sujeto a constantes cambios sin previo aviso. Su fin es didáctico y solo pretende la universalización de la cultura. Está escrito en base a la colaboración de las miles de personas que componen nuestra comunidad OpenUepc. Se ha exigido a los autores que referencien todas las fuentes utilizadas y figuran al final del texto. Cualquier distribución del mismo debe mencionar a OpenUepc como fuente. Miguel Pérez Fontenla miguelperez@edu.xunta.es INDICE AUTORES
Iniciado por: Miguel Pérez Fontenla 05/05/2010
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SUBJECT: Mathematics
THEME: Arithmetic
Group 1st Bach
1
1 .- Perform and simplify the following computation 1 1 1 − 3 2 5 112 28
2.- Simplify
3.- Perform and simplify the following operation 1' 19 + 1' 76 − 0' 465
4.- Rewrite this surd in the simplest possible terms
720 5.- Rationalise the denominator of this fraction 2 5 6.- Rationalise the denominator of this fraction 1+ 2 5 7.- Calculate and write the following operation in the simplest possible terms 3
− 125
8.- Express in one only index x 4 8
2 = 2x
9.- Check if it is true or false 1' 9
−1'9
= 0'25
10.- Perform and write the following operation in the simplest possible terms ( − 2 ) 3 ⋅ ( − 2 ) 4 ⋅ ( −2 ) 2
| 1
+
SUBJECT: Mathematics
THEME: Arithmetic
Group 1st Bach
2
1.- Perform and simplify the following computation 1 1 − 3+ − 4 3 4 28 112
2.- Simplify
3.- Perform and simplify the following operation 0'3 + 0' 3 + 0' 03 − 0' 30 + 0'330
4.- Express this surd in the simplest possible terms 4
3111696 . .
5.- Rationalise the denominator of this fraction 4 3− 2 6.- Rationalise the denominator of this fraction
3
2 2
7.- Calculate and write the following operation in the simplest possible terms ( 5 − 3 ) 2 ⋅ (8 + 2 15 )
8.- Express in one only index x 2
22 2 2 = 2 x
9.- Check if it is true or false −3 3
34
= −3
1
−3
10.- Perform and write the following operation in the simplest possible terms ( −2) 3 − ( −3) 2
| 2
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SUBJECT: Mathematics
THEME: Arithmetic
Group 1st Bach
3
1.- Perform and simplify the following computation 1 2 3 5 − − − ÷ 2 3 4 6
2.- Simplify
180 120
3.- Perform and simplify the following operation 0'3 + 0' 3 + 0'33 − 0'333 + 0' 1
4.- Express this surd in the simplest possible terms 5
7776
5.- Rationalise the denominator of this fraction 3 3+ 2 6.- Rationalise the denominator of this fraction 3
7 5
7.- Calculate and write the following operation in the simplest possible terms 2 + 3 4 − 2 5 10 − 6 5 − 3− 2
2 3
5
8.- Express in one only index x 2 2 2 2 2 = 2x
9.- Check if it is true or false 2
(19683) 3 = 729 10.- Perform and write the following operation in the simplest possible terms
(4 + (12 − 2 3 ) + (15 − 05 ) 2 ) ÷ (14 − ( −2) 2 ) | 3
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SUBJECT: Mathematics
THEME: Arithmetic
Group 1st Bach
4
1.- Perform and simplify the following computation 1 1 1 3 1 1 5 + 3 2 − 4 ÷ − 3 − 2 2.- Simplify
11111 220
3.- Perform and simplify the following operation 35 ' + 0' 6 − 2'14
4.- Express this surd in the simplest possible terms 7
10
5.- Rationalise the denominator of this fraction 1+ 2 1− 2 6.- Rationalise the denominator of this fraction 11 7
113
7.- Calculate and write the following operation in the simplest possible terms
5 12 + 7 48 − 108 − 192 + 243 8.- Express in one only index x 3
33 33 3 = 3 x
9.- Check if it is true or false 1 3
0 '3
=3 3
10.- Perform and write the following operation in the simplest possible terms
4( − 15 + 23 − 1) − 9 1 1 1 2 + 6( 2 − 3 ) − 1 | 4
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SUBJECT: Mathematics
THEME: Arithmetic
Group 1st Bach
5
1.- Perform and simplify the following computation 1 1 − 2 (− 3) − − 3 (− 4 ) 3 4
2.- Simplify
31 29
3.- Perform and simplify the following operation 33' 3 ÷ 3 − 31323 '
4.- Express this surd in the simplest possible terms 4
1171875 . .
5.- Rationalise the denominator of this fraction 5 7 + 3 3 +1 6.- Rationalise the denominator of this fraction
5 5
44
7.- Calculate and write the following operation in the simplest possible terms 3
9 3 2 4 5 ⋅ ⋅ 4 3 3
8.- Express in one only index x 2
32 9 27 = 3 x
9.- Check if it is true or false
− 1 27
1
−3
= −3
10.- Perform and write the following operation in the simplest possible terms 1−8 − 2 −2 + 8 2 2 + 2 −2 | 5
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SUBJECT: Mathematics
THEME: Arithmetic
Group 1st Bach
6
1.- Perform and simplify the following computation 2 3
0−3 2.- Simplify
36 900
3.- Perform and simplify the following operation 2'006 − 2'64
4.- Express this surd in the simplest possible terms 5
759375
5.- Rationalise the denominator of this fraction 3 5− 3 6.- Rationalise the denominator of this fraction
3 3
25
7.- Calculate and write the following operation in the simplest possible terms 83 44 32
8.- Express in one only index x 2 84 8 = 2x 3 4 2 8 2 9.- Check if it is true or false 3
25 = 625
1 3
5− 2
10.- Perform and write the following operation in the simplest possible terms
[ ( −1)
4
÷ ( 25 ) 3 ]
−2
÷ [ ( − 53 ) 2 − 5−1 ]
| 6
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SUBJECT: Mathematics
THEME: Arithmetic
Group 1st Bach
7
1.- Perform and simplify the following computation 1 1−
1 1 − 21
2.- Simplify
161 203
3.- Perform and simplify the following operation 0' 76 ÷ 0'234
4.- Express this surd in the simplest possible terms 4
20736
5.- Rationalise the denominator of this fraction
1+ 2 5
6.- Calculate and write the following operation in the simplest possible terms 2a 3 − 27a 2 + a 12
7.- Express in one only index x 9 27 ⋅ 3−3 = 3x 3 5 3 ⋅ 81 3
3
8.- Check if it is true or false
(− 1' 3)
− 0'3
=3
3 4
9.- Perform and write the following operation in the simplest possible terms
( 13 ) 2 − (1 − 15 ) ÷ ( 23 − 2) 10.- Carry out and write the following computation in the simplest possible way − 13 ⋅ 2 −1 ( 13 + 41 ) ⋅ 12 ÷ 1 2 −2 ( 21 ) 2 − 16 − 1] 15 3 − [( 3 )
3 4
| 7
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SUBJECT: Mathematics
THEME: Arithmetic
Group 1st Bach
8
1.- Perform and simplify the following expression
(1 + 2 ) − (2 2
2− 2
)
2
2.- Perform and simplify the following operation −
1 2 3 5 − − − 2 3 4 6
3.- Perform and simplify the following operation : 0' 8 ⋅ 15 ' ÷ 1' 3 4.- Express this surd in the simplest possible terms
12
3
5.- Rationalise the denominator of this fraction
4096
4
2 −1
6.- Calculate and write the following operation in the simplest possible terms 2 a a3 3 4 2 b b
3
b5 a7
7.- Express in one only index x :
34 93 −2
3
(
27 −1
3 9 81
)
−1
= 3x
8.- Check if it is true or false 2 3
1
88 ⋅ 0176 ' = 23
9.- Perform and write the following operation in the simplest possible terms 10 3 ⋅ 8 −15 ⋅ 25 6 50
20
⋅ 16
−12
(Answer 2-4 5-5)
10.- Carry out and write the following computation in the simplest possible way
(7 − 21 ) ÷ ( − 133 ) − 45 (4 − 56 ) ÷ (3 + 53 ) + 43
| 8
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U⌀ℕℤℚ∊ℝℂℙℐΩ⇐⇒⇔⇏∊∉∈∅⇾≈≔⇎⇝≡ℤ≤≥≲≳≴≵≮≯∀⇒∊≠∅⊂⟇·∊∃ A⨯Bεαβηθλµξσφφδεε ·∅U∩∪∼∿⊂⊃⊆⊇⊄⋂⋃⊅∧∨U⤳≮≠|∂∆√±∞ǀǁƟƩǃξχ∘6⊕⊗⊛⋅♫♯ ⨁⨂✘✔×
ℕ
| 9