Integers Test - 7

$\frac{-33\times 96}{11\times -24}$= (−3)×(−4)=12

The product of a negative and a positive number is always anegative number.

−12 × 21 = (−252)

So option C is the correct answer.

175×175−25×25

= (175)²− (25)²

Using identity (a+b)(a−b)=a²−b²

= (175+25) (175-25)

= 200 × 150

=30,000

∴ OptionB is correct.

As there are 4 negative numbers, which is an even number,the product will be positive.

So, −5 × −2 × −2 × −3 = 60

(-84) x (-1) = (+84)

Remember

(-) x (-) = +

(132)÷ (−12) = $\frac{132}{-12}$

$=\frac{12\times 11}{-12}$

=-1$\times$11

=-11

Option D is correct.

The product of two negative numbers is always a positivenumber.

So, −6 × (−2) = +12

So option D is the correct answer.

−112×(−1)=+112

(−54) × (64) ÷ (−27) × (−128)

= −3456 ÷ 3456

= −1

The additive identity property says that if you add aninteger to zero or add zero to an integer, then you get the same integer back.The number zero is known as the identity element, or the additive identity. Forexample, for any integer aa,

a + 0 = 0 + a = a

Hence, for any integer a, a + 0 = a.

68 ×(−1)=−68

Since 789 is an odd number, the product of 789 negativeintegers will be negative.

The product of all positive integers is a positivenumber. Hence, the product of 7 positive integers will be a positive integer.

Therefore,the product of the two integers (789 negative and 7 positive) of unlike signswill be negative.

4 × (−3) × (−2) × 6 × (−5)

= 24 × −30

= −720

As there are 3 negative numbers, which is an odd number, theproduct will be negative.

So, −5 × −12 × 2 × −3 = −360.

The positive integer product with −1 is positive.

For example: -2 × (−1) = 2 and -2.5 × (−1) = 2.5.