Question

What is the value of this expression when c=-4 d= 10

Answer 1

Answer: B. 9

Explanation:

Let's learn some BIDMAS rules!

BIDMAS is an order of operation.

Multiply first or the indices? We can solve it with order of operations.

Here we go ↓↓

B = Brackets

I = Indices (³ ²)

D = Division

M = Multiplication

A = Addition

S = Subtraction

NOTE = Multiply or divide first? We do it from left to right

NOTE = Addition or Subtraction? We also do it from left to write in an equation.

Step 1 :

We replace all the letters with the given value, this make it :

`1/4 (-4^(3) + 10^(2) )`=?

Step 2 :

Now, according to the rules, we do the numbers in the brackets first, now, in the brackets, there are indices, so we do those.

Which makes it :

1/4(-64+100)= ?

Step 3 :

Now we add the integers inside the brackets, remember, whenever the equation is like this, it is telling us it is a multiplication, here, it will be 1/4 x (-64+100) . In algebra, we don't use the × sign as it can be misinterpreted as
`x` .

1/4 (-64+100 = 36)

1/4 (36)

=

1/4 x 36

So we have = 1/4 x 36 at last.

Step 4 =

Do the multiplication!

1/4 x 36 = 9

So the answer is 9

Answer 2

9

Explanation:

If c = -4 d = 10, we can re-write the expression:

• 
  `(1)/(4) (-4^(3)+10^(2) )`

Simplifying what is in the parenthesis:

• 
  `(1)/(4) (-64 +100)`

• 
  `(1)/(4)` × 36

• 9

Therefore when c = -4 d = 10,
`(1)/(4) (-4^(3)+10^(2) ) = 9`.