Maths 2 Mark Question

(-19) × (-25) + (-19) × (-15)
= (-19) × [(-25) + (-15)] [Associative property]
= (-19) × (-40)
= 760

0 ÷ (-34)
= 0 (zero).
Dividing 0 by any integer gives 0.

(-26) × (72 + 28) [using the distributive law]
= (-26) × 100 = -2600

Sum of -1032 and 878 = -1032 + 878 = -154
Subtracting the sum from -34, we get
-34 - (-154)
= (-34) + 154
= 120

36 - (-64) = 36 + 64 = 100
Now, (-64) - 36 = (-64) + (-36) = -100
Here, 100 is not equal -100
Thus, they are not equal.

(-8) × (9 + 7) [using the distributive law]
= (-8) × 16 = -128

37 ÷ 0
Not defined.
Dividing any integer by zero is not defined.

20 × (-16 + 14) [using the distributive law]
= 20 × (-2) = -40

(a + b) + c = (-8 + (-7)) + 6 = -15 + 6 = -9
a + (b + c) = -8 + (-7 + 6) = -13 + (-1) = -9
Hence, (a + b) + c = a + (b + c) [i.e., Property of Associativity]

Since the number of negative integers in the product is even. The product will be positive. (4) × (5) × (8) × (10) = 1600

P - (-8) = 3
⇒ P = 3 + (-8)
⇒ P = -5
Hence, the value of P is -5.

(-16 + (-4)) × (-8) [using the distributive law]
= (-20) × (-8) = 160

Since the number of negative integers in the product is odd. the product will be negative. -(6) × (5) × (7) × (2) × (3) = -1260

(-12) × (10 + 5) [using the distributive law]
= (-12) × 15 = -180

(-168) ÷ (-14) = 12

Suppose that a divides -240 to obtain 16. Then, we have:
(-240) ÷ a = 16
⇒ a = (-240) ÷ 16 = -15
Hence, -15 should divide -240 to obtain 16.

Product of (-16) and (-9) = (-16) × (-9) = 144
Now, (-132) ÷ 6 gives the quotient -22
144 + (-22) = 122

(-16) × (-15 + (-5)) [using the distributive law]
= (-16) × (-20) = 320

Let the other integer be a. Then, we have;
a + (-12) = 43
⇒ a = 43 - (-12) = 55
Hence, the other integer is 55.

(-105) ÷ 21
(-105) ÷ 21 = -5

Let the other integer be a. Then, we have:
53 + a = -16
⇒ a = -16 - 53 = -69
The other integer is -69.

(-11) × (-15 + (-25)) [using the distributive law]
= (-11) × (-40) = 440

Since the number of negative integers in the product is even, the product will be positive. (60) × (10) × (5) × (1) = 3000

Since the number of negative integers in the product is odd. the product will be negative. -(30) × (20) × (5) = -3000

Here, (a - b) = -9 - (-6) = -3
Similarly, (b - a) = -6 - (-9) = 3
(a - b) not equal to (b - a)

25 × (-33) + 25 × (-17)
= 25 × [(-33) + (-17)] [Associative property]
= 25 × (-50)
= -1250

Multiplying 103 negative integers will yield a negative integer, whereas 65 positive integers will give a positive integer. The product of a negative integer and a positive integer is a negative integer.

First, we will calculate the sum of 38 and -87.
38 + (-87) = -49
Now, subtracting -134 from the sum, we get:
-49 - (-134)
= (-49) + 134
= 85

We have:
a – (-6) = 4
⇒ a = 4 + (-6) = -2
a = -2

(-16) × 12 + (-16) × 8
= (-16) × (12 + 8) [Associative property]
= (-16) × 20
= -320

Let the other integer be a.
Then, -31 + a = 65
⇒ a = 65 - (-31) = 96
The other integer is 96.