Solve the Addition Problem: 945 + 88 in Vertical Format

Q: What does 'carry over' mean in addition?

When you add digits and get 10 or more, you write the ones digit and carry the tens digit to the next column. For example: 5+8=13, so write 3 and carry the 1.

Q: Why do we start adding from the right side?

We start from the units place (rightmost) because any carrying affects the column to the left. This way, we handle carries in the correct order from smallest to largest place values.

Q: How can I check if my vertical addition is correct?

Try these methods: Add horizontally: 945 + 88 = 1033Subtract backwards: 1033 - 88 = 945 ✓Estimate: 950 + 90 ≈ 1040 (close to 1033)

Q: What if there's no number in a place value column?

Treat it as zero! In this problem, 88 has no hundreds digit, so think of it as 088. Then add: 9 + 0 + 1 (carry) = 10.

Vertical Addition with Carrying Across Columns

$\begin{aligned} &945 \\ +& \\ &~~88 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Each time consider combining 2 digits, and then write down

00:06 Let's start by multiplying ones with ones

00:09 Write down the ones, carry 1 to tens

00:13 Multiply tens with tens, remember to add 1 to the calculation

00:19 Write down tens in tens place, carry 1 to hundreds

00:24 Write 0 in the missing digits

00:28 Multiply hundreds with hundreds, remember to add 1

00:32 Write down the hundreds in hundreds place, carry 1 to thousands

00:35 Write 0 in the missing digits

00:38 Multiply thousands with thousands, and write in thousands place

00:42 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &945 \\ +& \\ &~~88 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve this problem, we employ vertical addition as follows:

Align the numbers according to their place values:

945
+ 88
_______

We'll add column by column, starting from the right (units place):

Units (right-most) Column:
Add 5 and 8 to get 13. Write down 3 and carry over 1 to the next column.
Tens Column:
Add 4 and 8 to get 12, plus the carry-over 1 equals 13. Write down 3 and carry over 1 to the hundreds column.
Hundreds Column:
Add 9 and the carry-over 1 to get 10. Write down 0, and carry over 1 to the thousands column (or simply add since it's the last position in this sum).

Adding these values gives us the final result:

945
+ 88
_______
1033

Therefore, the solution to the addition problem is $1033$ .

Final Answer

1033

Key Points to Remember

Essential concepts to master this topic

Alignment: Place numbers by place value, units under units
Technique: Start right, 5+8=13, write 3 carry 1
Check: Count forward from 945: 946,947...1033 matches answer ✓

Common Mistakes

Avoid these frequent errors

Adding without proper carrying
Don't just add 5+8=13 and write 13 in units place = wrong alignment! This creates numbers with too many digits in single columns. Always write the units digit and carry the tens digit to the next column.

Practice Quiz

Test your knowledge with interactive questions

$\begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

FAQ

Everything you need to know about this question

What does 'carry over' mean in addition?

When you add digits and get 10 or more, you write the ones digit and carry the tens digit to the next column. For example: 5+8=13, so write 3 and carry the 1.

Why do we start adding from the right side?

We start from the units place (rightmost) because any carrying affects the column to the left. This way, we handle carries in the correct order from smallest to largest place values.

What if I forget to carry a number?

You'll get the wrong answer! In this problem, forgetting to carry would give you 923 instead of 1033. Always double-check each column for carries.

How can I check if my vertical addition is correct?

Try these methods:

Add horizontally: 945 + 88 = 1033
Subtract backwards: 1033 - 88 = 945 ✓
Estimate: 950 + 90 ≈ 1040 (close to 1033)

What if there's no number in a place value column?

Treat it as zero! In this problem, 88 has no hundreds digit, so think of it as 088. Then add: 9 + 0 + 1 (carry) = 10.

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