answer the questions below about line one and line two shown below. 4 (2+5) line 1 4.2+4.5 line 2
the expression was rewritten using the (pick one: commutative property of addiction, associative property of addiction, destructive property, communitive property of multiplication, associative property of multiplication.)
4•(2+5) equals 4•____ which equals ____.
4•2+4•5 equals ____ + ____ which equals ____.
The expression "4 (2+5)" was rewritten using the distributive property.
4•(2+5) equals 4•2 + 4•5 which equals 8 + 20.
The expression was rewritten using the associative property of multiplication.
4•(2+5) equals 4•2 which equals 8.
4•2+4•5 equals 8 + 20 which equals 28.
To explain how to get the answer to the questions, we need to understand the properties of addition and multiplication.
In line one, the expression 4 • (2+5) is rewritten using the distributive property of multiplication over addition. According to this property, we can distribute the factor 4 to each term inside the parentheses.
So, 4 • (2+5) can be expanded as follows:
4 • 2 + 4 • 5
In line two, the expression 4.2 + 4.5 does not involve any specific property. It is a simple addition operation.
Now, let's calculate the answers step by step:
Question 1:
4 • (2+5) equals 4 • (7) which equals 28.
To get this answer, you need to first add the terms inside the parentheses, which is 2 + 5 = 7. Then, multiply the result by 4, giving 4 • 7 = 28.
Question 2:
4 • 2 + 4 • 5 equals (4 • 2) + (4 • 5).
First, multiply 4 by 2, resulting in 8. Then, multiply 4 by 5, resulting in 20.
Finally, add the two results: 8 + 20 = 28.
In summary:
- Line one: 4 • (2+5) equals 28.
- Line two: 4 • 2 + 4 • 5 equals 28 + 28, which also equals 56.