We have hundreds of course questions with personalized recommendations + Account 100% premium
To accurately sum the numbers 37 and 46 using vertical addition, follow these steps:
Step 1: Add the Units Column
Start by adding the digits in the units place: . Since 13 is greater than 9, we write down the 3 in the units place of the result and carry over 1 to the tens column.
Step 2: Add the Tens Column
Next, add the digits in the tens column, along with any carried over value. Here we have , plus the carry over of 1, giving .
Final Result:
Combine the tens and units results. The sum is .
Therefore, the solution to the problem is .
83
\( \begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned} \)
Carrying means moving a digit to the next column when your sum is 10 or greater. For example, when 7 + 6 = 13, you write the 3 and carry the 1 to the tens column.
You start with the ones column because you might need to carry a digit to the tens column. If you started with tens first, you wouldn't know about any carries from the ones!
Forgetting to carry gives you the wrong answer! In this problem, without carrying you'd get 73 instead of 83. Always remember: when a column sum is 10 or more, carry the extra digit.
Try these methods:
Handle each column one at a time! Carry from ones to tens first, then if the tens column sum is also ≥ 10, carry to the hundreds column. Take it step by step.
Vertical addition is actually the most reliable method for larger numbers! It organizes your work clearly and reduces errors. Other methods like mental math work for simple problems, but vertical addition works every time.
Get unlimited access to all 18 Arithmetic Operations questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime