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Commutative Property for Multiplication on Integers

Fill in the b...

Question

Fill in the blanks is the following and also mention the law which is used.

(1)

(2)

(3)

(4)

(5)

(6)

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Solution

(1)

Here, commutative law of multiplication is used.

(2)

Here, associative law of multiplication is used.

(3)

Here, commutative law of multiplication is used.

(4)

Here, distributive law of multiplication is used.

(5)

Here, distributive law of multiplication is used.

(6)

Here, associative law of multiplication is used.

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Similar questions

Q. Using matrices, solve the following system of linear equation:

x - y + 2 z = 7

3 x + 4 y - 5 z = - 5

2 x - y + 3 z = 12

Q. Equation of the plane containing the line

x + 2 y + 3 z - 5 = 0 = 3 x + 2 y + z - 5

which is parallel to the line

x - 1 = 2 - y = z - 3

Q. Place the last two terms of the following expressions in parentheses preceded by a minus sign:
(i) x + y − 3z + y
(ii) 3x − 2y − 5z − 4
(iii) 3a − 2b + 4c − 5
(iv) 7a + 3b + 2c + 4
(v) 2a² − b² − 3ab + 6
(vi) a² + b²− c² + ab − 3ac

Q. Solve the following system of equations by matrix method:
(i) x + y − z = 3
2x + 3y + z = 10
3x − y − 7z = 1

(ii) x + y + z = 3
2x − y + z = − 1
2x + y − 3z = − 9

(iii) 6x − 12y + 25z = 4
4x + 15y − 20z = 3
2x + 18y + 15z = 10

(iv) 3x + 4y + 7z = 14
2x − y + 3z = 4
x + 2y − 3z = 0

(v)

\frac{2}{x} - \frac{3}{y} + \frac{3}{z} = 10 \frac{1}{x} + \frac{1}{y} + \frac{1}{z} = 10 \frac{3}{x} - \frac{1}{y} + \frac{2}{z} = 13

(vi) 5x + 3y + z = 16
2x + y + 3z = 19
x + 2y + 4z = 25

(vii) 3x + 4y + 2z = 8
2y − 3z = 3
x − 2y + 6z = −2

(viii) 2x + y + z = 2
x + 3y − z = 5
3x + y − 2z = 6

(ix) 2x + 6y = 2
3x − z = −8
2x − y + z = −3

(x) x − y + z = 2
2x − y = 0
2y − z = 1

(xi) 8x + 4y + 3z = 18
2x + y +z = 5
x + 2y + z = 5

(xii) x + y + z = 6
x + 2z = 7
3x + y + z = 12

(xiii)

\frac{2}{x} + \frac{3}{y} + \frac{10}{z} = 4, \frac{4}{x} - \frac{6}{y} + \frac{5}{z} = 1, \frac{6}{x} + \frac{9}{y} - \frac{20}{z} = 2; x, y, z \neq 0

(xiv) x − y + 2z = 7
3x + 4y − 5z = −5
2x − y + 3z = 12

Q. The equations

x + 4 y - 2 z = 3

3 x + y + 5 z = 7

2 x + 3 y + z = 5

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