Question12. Which of the following uses properties of operations to help find ? 4.Nso.2.2. (A) (B) (C) (D)
Studdy Solution
STEP 1
What is this asking?
Which expression uses the distributive property to calculate ?
Watch out!
Don't just multiply and directly.
We're looking for a clever way to break it down!
STEP 2
1. Break down the numbers
2. Apply the distributive property
3. Check the answers
STEP 3
Let's **break down** our numbers into tens and ones.
We can write as , right?
And can be written as .
This makes things easier to work with!
STEP 4
Now, let's use the **distributive property**.
Think of it like this: we're multiplying each part of the first number ( and ) by each part of the second number ( and ).
So, we get .
This is how we **expand** the multiplication!
STEP 5
If we were to calculate this, we'd multiply by and by , then by and by .
That gives us .
This simplifies to , which then adds up to .
STEP 6
Let's see which answer choice matches our **distributive property** setup.
Option (A) is just adding all the parts separately, so that's not it.
Option (B) is multiplying the parts separately, also not what we want.
Option (C) is simply adding and , definitely not right.
Option (D) is , which is **exactly** what we got!
STEP 7
The answer is (D)! correctly uses the distributive property to find .
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