Final Answer:
A: Laura’s observation is correct. For example, (2+3)+4 = 2+(3+4) demonstrates the associative property of addition for an expression with 3 terms.
B: Laura’s observation is not correct. For example, (2+3)-4 ≠ 2+(3-4) shows that the associative property of addition does not hold for subtraction.
Step-by-step explanation:
The associative property of addition states that when adding three or more numbers, the grouping of the numbers does not affect the sum. In the example (2+3)+4 = 2+(3+4), we can see that regardless of how the numbers are grouped, the sum remains the same. This agrees with Laura’s observation as it demonstrates that the associative property holds true for an expression with 3 terms.
However, in the example (2+3)-4 ≠ 2+(3-4), we are dealing with subtraction, not addition. The associative property specifically applies to addition and not subtraction. Therefore, this example shows that Laura’s observation is incorrect when applied to subtraction operations.
In summary, Laura’s observation is correct when applied to addition, as demonstrated by the first example. However, it is not correct when applied to subtraction, as shown by the second example.Final Answer:
A: Laura’s observation is correct. For example, (2+3)+4 = 2+(3+4) demonstrates the associative property of addition for an expression with 3 terms.
B: Laura’s observation is not correct. For example, (2+3)-4 ≠ 2+(3-4) shows that the associative property of addition does not hold for subtraction.
Step-by-step explanation:
The associative property of addition states that when adding three or more numbers, the grouping of the numbers does not affect the sum. In the example (2+3)+4 = 2+(3+4), we can see that regardless of how the numbers are grouped, the sum remains the same. This agrees with Laura’s observation as it demonstrates that the associative property holds true for an expression with 3 terms.
However, in the example (2+3)-4 ≠ 2+(3-4), we are dealing with subtraction, not addition. The associative property specifically applies to addition and not subtraction. Therefore, this example shows that Laura’s observation is incorrect when applied to subtraction operations.
In summary, Laura’s observation is correct when applied to addition, as demonstrated by the first example. However, it is not correct when applied to subtraction, as shown by the second example.