Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
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
[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
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.