To determine which statement is true about Jerome's work, we need to analyze the multiplication step by step.
The multiplication problem is 589 × 12. We can break this down into two parts:
- Multiply 589 by 2 (the units place of 12).
- Multiply 589 by 10 (the tens place of 12), remembering to shift the result one place to the left (add a zero as a placeholder).
Step 1: Multiply 589 by 2
- 2 × 9 = 18 (write down 8, carry over 1)
- 2 × 8 = 16, plus the carry 1 = 17 (write down 7, carry over 1)
- 2 × 5 = 10, plus the carry 1 = 11 (write down 11)
So, 589 × 2 = 1178.
Step 2: Multiply 589 by 10
- 589 × 10 = 5890 (simply add a zero).
Now we add the two results together:
1178
+ 5890
-------
Align them:
1178
+ 5890
-------
7068
Now we check the statements about Jerome's work:
-
Jerome solved the problem correctly. - This would be true if his final result is 7068. If his result differs, this statement is false.
-
Jerome forgot to carry the 1 when he multiplied 2 × 9. - If he did carry over correctly in his calculations, this statement is false.
-
Jerome forgot to use 0 as a placeholder. - If he appropriately added a zero when multiplying by 10, then this statement is false.
-
Jerome added incorrectly. - If his summation leading to the final result is incorrect, this statement is true.
Without knowing Jerome's exact numerical results, we can't determine the true statement directly. However, assuming he made errors during multiplication or addition, the statement that "Jerome added incorrectly" is often common in multiplication problems if the final answer is wrong, despite the multiplications themselves being done properly.
In conclusion, the most likely true statement would be: "Jerome added incorrectly," because many students struggle with the addition step after performing multiplications correctly. If you have Jerome's exact work or errors, you could make a definitive choice!
1 answer