To solve the given expression (w)-19 ÷ 19, you need to follow the order of operations, which is PEMDAS (Parentheses, Exponents, Multiplication and Division - from left to right, Addition and Subtraction - from left to right).
First, perform the division:
-19 ÷ 19 = -1
Now substitute the result back into the expression:
(w) - 1
Therefore, the simplified expression is w - 1.
For the calculations using the associative law:
(i) 10 x [(-5) x (-6)]
First, perform the multiplication inside the parentheses:
(-5) x (-6) = 30
Now multiply 10 by the result:
10 x 30 = 300
Thus, 10 x [(-5) x (-6)] = 300.
(ii) [(-5) x (-3)]
Similarly, multiply the numbers inside the parentheses:
(-5) x (-3) = 15
The result is 15.
Therefore, [(-5) x (-3)] = 15.
In both cases, the calculations were done following the associative property, which allows changing the grouping of numbers without changing the result.
