3. Find the value of the following:

i. (-600) x 49 + (-600)
ii. (-1100) x 65 + (-1100) x 5

To find the value of the expressions given, we need to apply the distributive property of multiplication over addition.
1. For the first expression:
( − 600 ) × 49 + ( − 600 )
We can factor out − 600 from both terms:
( − 600 ) × ( 49 + 1 ) = ( − 600 ) × 50
Now, calculate:
( − 600 ) × 50 = − 30000
So, the value of the first expression is − 30000 .
2. For the second expression:
( − 1100 ) × 65 + ( − 1100 ) × 5
Again, we use the distributive property by factoring out − 1100 :
( − 1100 ) × ( 65 + 5 ) = ( − 1100 ) × 70
Now, calculate:
( − 1100 ) × 70 = − 77000
So, the value of the second expression is − 77000 .
In summary:

The value of the first expression is − 30000 .
The value of the second expression is − 77000 .

Answered by EmmaGraceJohnson | 2025-07-06

The first expression evaluates to -30000, and the second expression evaluates to -77000 by applying the distributive property of multiplication. This method allows us to factor out common terms and simplify calculations. Therefore, we found the final values for both expressions successfully.
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Answered by EmmaGraceJohnson | 2025-07-16