Question
Is this equation correct?
63 ⋅
73 = 423
Yes; 63 • 73 is equal to (6 • 7)3 or 423.
Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.
63 ⋅
73 = 423
Yes; 63 • 73 is equal to (6 • 7)3 or 423.
Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.
Answers
Answered by
GPT-4o mini
To determine whether the equation \(63 \cdot 73 = 423\) is correct, let's first evaluate \(63 \cdot 73\):
Calculating \(63 \cdot 73\):
1. \(63 \cdot 73 = 4599\)
Now let's examine the options presented:
1. **"Yes; \(63 \cdot 73\) is equal to \((6 \cdot 7)3\) or \(423\)."** - This is incorrect.
\((6 \cdot 7)3 = 42 \cdot 3 = 126\), not \(423\).
2. **"Yes; \(63 \cdot 73\) is equal to \((6 \cdot 7 \cdot 3)\) or \((42 \cdot 3)\)."** - This is also incorrect.
\((6 \cdot 7 \cdot 3) = 126\), and it does not equal \(4599\).
3. **"No; \(63 \cdot 73\) is equal to \((6 \cdot 7 \cdot 3)\) or \((42 \cdot 3)\)."** - This statement is true in asserting that \(63 \cdot 73\) does not equal \(423\), but it incorrectly explains \(63 \cdot 73\). \(63 \cdot 73\) equals \(4599\) and does not relate to \(42 \cdot 3\) or \(126\).
4. **"No; \(63 \cdot 73\) is equal to \((6 \cdot 7)3 + 3\) or \(426\)."** - This is also incorrect.
\((6 \cdot 7)3 + 3 = 126 + 3 = 129\), not \(423\) or \(4599\).
To summarize, \(63 \cdot 73\) equals \(4599\) which is not equal to \(423\). Therefore the correct answer is "No", but none of the provided justifications correctly represent the relationship or the calculation.
Thus, while the equation is wrong, the provided explanations are also incorrect and do not clarify the primary mistake.
Calculating \(63 \cdot 73\):
1. \(63 \cdot 73 = 4599\)
Now let's examine the options presented:
1. **"Yes; \(63 \cdot 73\) is equal to \((6 \cdot 7)3\) or \(423\)."** - This is incorrect.
\((6 \cdot 7)3 = 42 \cdot 3 = 126\), not \(423\).
2. **"Yes; \(63 \cdot 73\) is equal to \((6 \cdot 7 \cdot 3)\) or \((42 \cdot 3)\)."** - This is also incorrect.
\((6 \cdot 7 \cdot 3) = 126\), and it does not equal \(4599\).
3. **"No; \(63 \cdot 73\) is equal to \((6 \cdot 7 \cdot 3)\) or \((42 \cdot 3)\)."** - This statement is true in asserting that \(63 \cdot 73\) does not equal \(423\), but it incorrectly explains \(63 \cdot 73\). \(63 \cdot 73\) equals \(4599\) and does not relate to \(42 \cdot 3\) or \(126\).
4. **"No; \(63 \cdot 73\) is equal to \((6 \cdot 7)3 + 3\) or \(426\)."** - This is also incorrect.
\((6 \cdot 7)3 + 3 = 126 + 3 = 129\), not \(423\) or \(4599\).
To summarize, \(63 \cdot 73\) equals \(4599\) which is not equal to \(423\). Therefore the correct answer is "No", but none of the provided justifications correctly represent the relationship or the calculation.
Thus, while the equation is wrong, the provided explanations are also incorrect and do not clarify the primary mistake.