High School

Show how to use the Distributive Property to divide 54 by 2 by breaking 54 into [tex]$40 + 14$[/tex].

1. Break down 54 into two parts: [tex]$40 + 14$[/tex].
2. Divide each part by 2 separately:
- [tex]$\frac{40}{2} = 20$[/tex]
- [tex]$\frac{14}{2} = 7$[/tex]
3. Add the results: [tex]$20 + 7 = 27$[/tex].

Therefore, [tex]$\frac{54}{2} = 27$[/tex].

Answer :

To divide 54 by 2 using the Distributive Property, we can break 54 into two simpler numbers and then divide each part separately by 2. Here’s how you can do it step-by-step:

1. Break down the number 54:
- Write 54 as the sum of two numbers that are easy to work with. In this case, we choose 40 and 14.
- So, 54 can be expressed as: [tex]\( 54 = 40 + 14 \)[/tex].

2. Use the Distributive Property to divide each part by 2:
- First, divide 40 by 2.
[tex]\[
40 \div 2 = 20
\][/tex]
- Next, divide 14 by 2.
[tex]\[
14 \div 2 = 7
\][/tex]

3. Add the results:
- Now, add the two results from the divisions: 20 and 7.
[tex]\[
20 + 7 = 27
\][/tex]

So, when you divide 54 by 2 using the Distributive Property, you get 27.