Question

2) Simplify using properties (-25)(97) + (-25) x (3).
3) Which one is greater? (-2) × (-3) x (5) or (-1) × (8)​

Answer 1

Step-by-step explanation:

2) [ (-25)(97)] +[(-25)×(3)]

(distributive property)

-(25)×(97+3)

-(25)×(100)

-(2500)

-2500

3) (-2)×(-3)×(5) is greater than (-1)×(8)

as there is 2 minus is the [(-)(-)=+]

so it will be a positive number

In the second no. , there is one one minus and so it will be negative number .

therefore the first number is greater

Answer 2

1)

Given:

$\sf\to ( - 25)(97) + ( - 25)(3)$

Find:

$\sf \to solve \: using \: suitable \: identity: -$

Solution:-

we, have

$\sf\to ( - 25)(97) + ( - 25)(3)$

So,

$\sf \twoheadrightarrow ( - 25) \times (97) + ( - 25) \times (3)$

$\sf \twoheadrightarrow (-2425) + (-25) \times (3)$

$\sf \twoheadrightarrow (-2425) + (-75)$

$\sf \twoheadrightarrow -2425 - 75$

$\sf \twoheadrightarrow -2500$

Hence, the answer will be -2500

___________________

2)

Given:

$\sf \to (-2) \times (-3) \times (5) \: or \: (-1) \times (8)$

Find:

$\sf\to state \: which \: one \: is \: greater$

Solution:

$\sf \to (-2) \times (-3) \times (5) \: or \: (-1) \times (8)$

So,

$\sf \twoheadrightarrow (-2) \times (-3) \times (5) \: or \: (-1) \times (8)$

$\sf \twoheadrightarrow (6) \times (5) \: or \: (-8)$

$\sf \twoheadrightarrow (30) \: or \: (-8)$

$\sf \twoheadrightarrow 30 \: or \: -8$

$\sf \twoheadrightarrow 30 > -8$

As, we know that the +ve no. is always greater than the -ve one.

So, 30 > -8

Hence, (-2) × (-3) x (5) > (-1) × (8)