461,592
x 308
_________
3592736
+ 13947760
___________
142,070,336
What is the first number that is incorrect in the work above?
Please answer and explain.
3592736 is wrong. 461592*308=142170336. Then the final answer should be 156118096
Wait how is 156118096 the final answer?
The first number that is incorrect in the work above is the sum of the two products, which is 142,070,336. To explain how to identify this error, we need to review the process of multiplying multi-digit numbers.
To multiply 461,592 by 308, you would typically use the long multiplication method. Here are the steps:
1. Starting from the rightmost digit of the bottom number (308), multiply it with each digit of the top number (461,592), one by one.
2. Write each partial product below the line, shifting them one place to the left for each subsequent digit of the bottom number.
3. Add up all the partial products to get the final result.
Let's calculate the product step by step:
1. Multiply 308 by 2, which equals 616.
2. Multiply 308 by 9, which equals 2,772. Shift this partial product one place to the left.
3. Multiply 308 by 5, which equals 1,540. Shift this partial product two places to the left.
4. Multiply 308 by 1, which equals 308. Shift this partial product three places to the left.
5. Multiply 308 by 6, which equals 1,848. Shift this partial product four places to the left.
6. Multiply 308 by 4, which equals 1,232. Shift this partial product five places to the left.
Now, we add up all the partial products:
461,592
x 308
_________
142,005,536
Therefore, the correct result should be 142,005,536, not 142,070,336.
To answer your question, the first number that is incorrect in the given work is the sum of the two products, and it should be 142,005,536 instead of 142,070,336.