The question asks which whole number property is used in the equation:
[tex]\[ 19 + (1 + 43) = (19 + 1) + 43 \][/tex]
Let’s analyze the given equation step by step:
1. Expression Analysis:
- We start with the left-hand side of the equation: [tex]\( 19 + (1 + 43) \)[/tex].
- According to the rules of addition, we can simplify inside the parentheses first: [tex]\( 1 + 43 = 44 \)[/tex].
- So, [tex]\( 19 + 44 \)[/tex] remains on the left-hand side.
2. Right-hand Side:
- Consider the right-hand side of the equation: [tex]\( (19 + 1) + 43 \)[/tex].
- Simplifying inside these parentheses first: [tex]\( 19 + 1 = 20 \)[/tex].
- Thus, on the right-hand side, we are left with [tex]\( 20 + 43 \)[/tex].
3. Observe the Equality:
- Both expressions simplify to [tex]\( 19 + 44 \)[/tex] on the left and [tex]\( 20 + 43 \)[/tex] on the right.
4. Grouping:
- Notice that the numbers have been grouped differently but the sum remains the same:
[tex]\[ 19 + (1 + 43) = (19 + 1) + 43 \][/tex]
The property of whole numbers showcased here is that the grouping of numbers being added does not affect their sum. This property is known as the Associative Property of Addition.
The Associative Property of Addition states that the way in which numbers are grouped when being added will not change their sum.
Thus, the answer to the question is:
Associative Property of Addition
