4th Grade Adding and Subtracting Multi-Digit Numbers Worksheet Answer Key (PDF)

Q: How do you know a word problem answer is reasonable?

Round the numbers and do a quick estimate. In problem 15, 12{,}000 + 16{,}000 is about 28{,}000, and the exact total of 28{,}130 fits. An answer far from the estimate means you should look for a slip.

4th grade multi digit addition and subtraction worksheet answers – Maths PDF

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This 4th grade multi digit addition and subtraction worksheet answers covers adding and subtracting multi-digit numbers (Common Core 4.NBT.B.4), with a free PDF to print.

Key takeaway: This answer key helps fourth grade students and parents check multi-digit addition and subtraction work and find exactly where a mistake began.

Topic: Adding and Subtracting Multi-Digit Numbers (4th grade)
Content: Step-by-step answers to 20 worksheet problems
Standards: 4.NBT.B.4
Answers: Every step shown, with the method to review
Format: Free printable PDF, US Letter, black and white

This answer key helps fourth grade students and parents check multi-digit addition and subtraction work and find exactly where a mistake began. Each solution is written place by place, so a wrong answer can be traced to a single column.

The key covers all 20 worksheet problems, from simple four digit sums to word problems about fans, notebooks, miles, and library books. Also, many subtraction answers include a check that adds the difference back to the number subtracted. Then, plan about 15 minutes to compare answers and fix errors. Use a different color pen for corrections so the original attempt stays visible.

Check your work with this answer key. Each solution goes place by place from the ones, shows every carry and regroup, and finishes with a check using the opposite operation. The final answer is in bold.

Grade 4 · Common Core State Standards: 4.NBT.B.4

4th grade multi digit addition and subtraction worksheet answers: worksheet problems 1 to 10

1 – Add four digits

Ones: $7 + 1 = 8$. Tens: $2 + 6 = 8$. Hundreds: $3 + 5 = 8$. Thousands: $4 + 2 = 6$.

$6,888$

2 – Subtract four digits

Ones: $5 – 2 = 3$. Tens: $4 – 1 = 3$. Hundreds: $8 – 5 = 3$. Thousands: $6 – 3 = 3$.

$3,333$

3 – Add with carrying

Carry 1 into the tens, hundreds, and thousands.

Ones: $8 + 5 = 13$, write 3, carry 1. Tens: $7 + 6 + 1 = 14$, write 4, carry 1. Hundreds: $4 + 9 + 1 = 14$, write 4, carry 1. Thousands: $3 + 2 + 1 = 6$.

$6,443$

4 – Subtract with regrouping

The ones digit 3 is smaller than 6, and the tens digit is 0, so regroup from the hundreds. 8,203 is 7 thousands, 11 hundreds, 9 tens, and 13 ones.

Ones: $13 – 6 = 7$. Tens: $9 – 1 = 8$. Hundreds: $11 – 7 = 4$. Thousands: $7 – 4 = 3$.

$3,487$

5 – Add five digits

Ones: $9 + 8 = 17$, write 7, carry 1. Tens: $8 + 3 + 1 = 12$, write 2, carry 1. Hundreds: $6 + 4 + 1 = 11$, write 1, carry 1. Thousands: $5 + 7 + 1 = 13$, write 3, carry 1. Ten thousands: $4 + 2 + 1 = 7$.

$73,127$

6 – Subtract five digits

Ones: $6 – 4 = 2$. Tens: 0 is less than 7, so regroup from the hundreds: $10 – 7 = 3$. Hundreds: now 1 hundred, less than 5, so regroup from the thousands: $11 – 5 = 6$. Thousands: now 0, less than 8, so regroup from the ten thousands: $10 – 8 = 2$. Ten thousands: $6 – 3 = 3$.

Check: $32{,}632 + 38{,}574 = 71{,}206$.

$32,632$

Worksheet problem 7 and after

7 – Subtract from 6,000

6,000 becomes 5 thousands, 9 hundreds, 9 tens, and 10 ones.

Ones: $10 – 7 = 3$. Tens: $9 – 8 = 1$. Hundreds: $9 – 4 = 5$. Thousands: $5 – 2 = 3$.

Check: $3{,}513 + 2{,}487 = 6{,}000$.

$3,513$

8 – Zeros in the middle

Regroup across the zeros: 50,004 is 4 ten thousands, 9 thousands, 9 hundreds, 9 tens, and 14 ones.

Ones: $14 – 6 = 8$. Tens: $9 – 7 = 2$. Hundreds: $9 – 3 = 6$. Thousands: $9 – 9 = 0$. Ten thousands: $4 – 1 = 3$.

$30,628$

9 – Add six digits

Ones: $1 + 6 = 7$. Tens: $8 + 9 = 17$, write 7, carry 1. Hundreds: $4 + 3 + 1 = 8$. Thousands: $2 + 8 = 10$, write 0, carry 1. Ten thousands: $7 + 5 + 1 = 13$, write 3, carry 1. Hundred thousands: $3 + 4 + 1 = 8$.

$830,877$

10 – Subtract from 800,000

800,000 is 7 hundred thousands, 9 ten thousands, 9 thousands, 9 hundreds, 9 tens, and 10 ones.

Ones: $10 – 5 = 5$. Tens: $9 – 2 = 7$. Hundreds: $9 – 9 = 0$. Thousands: $9 – 6 = 3$. Ten thousands: $9 – 4 = 5$. Hundred thousands: $7 – 3 = 4$.

Check: $453{,}075 + 346{,}925 = 800{,}000$.

$453,075$

Worksheet problems 11 and up

11 – Add three numbers

First add two numbers: $12{,}345 + 6{,}789 = 19{,}134$.

Then add the third: $19{,}134 + 24{,}680 = 43{,}814$.

$43,814$

12 – Check with addition

The parts add back to the total.

Add the answer to the number subtracted: $4{,}227 + 4{,}879$. Ones: $7 + 9 = 16$. Tens: $2 + 7 + 1 = 10$. Hundreds: $2 + 8 + 1 = 11$. Thousands: $4 + 4 + 1 = 9$.

The sum is $9,106$, the starting number, so Ethan is correct.

$4{,}227 + 4{,}879 = 9{,}106$; correct

13 – Missing addend

Subtract: $9{,}000 – 5{,}248$. Regroup 9,000 as 8 thousands, 9 hundreds, 9 tens, and 10 ones.

Ones: $10 – 8 = 2$. Tens: $9 – 4 = 5$. Hundreds: $9 – 2 = 7$. Thousands: $8 – 5 = 3$.

Check: $5{,}248 + 3{,}752 = 9{,}000$.

$3,752$

14 – Find the mistake

In every place he subtracted the smaller digit from the larger digit. In the ones place he did $7 – 5 = 2$ instead of regrouping to get $15 – 7 = 8$.

Correct: 6,205 is 5 thousands, 11 hundreds, 9 tens, and 15 ones. Ones: $15 – 7 = 8$. Tens: $9 – 3 = 6$. Hundreds: $11 – 8 = 3$. Thousands: $5 – 2 = 3$.

Check: $3{,}368 + 2{,}837 = 6{,}205$.

$3,368$

15 – Two-day crowd

Ones: $8 + 2 = 10$. Tens: $5 + 7 + 1 = 13$. Hundreds: $4 + 6 + 1 = 11$. Thousands: $2 + 5 + 1 = 8$. Ten thousands: $1 + 1 = 2$.

$28,130$ fans

Worksheet problem 16 and after

16 – Notebook sale

$2{,}000 – 1{,}386$. Regroup 2,000 as 1 thousand, 9 hundreds, 9 tens, and 10 ones.

Ones: $10 – 6 = 4$. Tens: $9 – 8 = 1$. Hundreds: $9 – 3 = 6$. Thousands: $1 – 1 = 0$.

Check: $614 + 1{,}386 = 2{,}000$.

614 notebooks

17 – Miles left

$2{,}850 – 1{,}967$. Ones: 0 is less than 7, so regroup a ten. Tens: 4 left, which is less than 6, so regroup a hundred. Hundreds: 7 left, which is less than 9, so regroup a thousand.

Now the digits are 1 thousand, 17 hundreds, 14 tens, and 10 ones.

Ones: $10 – 7 = 3$. Tens: $14 – 6 = 8$. Hundreds: $17 – 9 = 8$. Thousands: $1 – 1 = 0$.

Check: $883 + 1{,}967 = 2{,}850$.

883 miles

18 – Farmers market weeks

First two weeks: $4{,}285 + 3{,}968 = 8{,}253$.

Add the third week: $8{,}253 + 5{,}047 = 13{,}300$.

$\$13,300.00$

19 – Library books

Add: $36{,}500 + 8{,}275 = 44{,}775$.

Subtract: $44{,}775 – 2{,}968 = 41{,}807$.

Check: $41{,}807 + 2{,}968 = 44{,}775$.

$41,807$ books

20 – Town growth

$163,909$ rounds to $164,000$. $148,326$ rounds to $148,000$. Estimate: $164{,}000 – 148{,}000 = 16{,}000$.

Exact: $163{,}909 – 148{,}326 = 15{,}583$.

The exact answer is close to the estimate, so it is reasonable.

$15,583$ more people

Key facts behind this 4th grade multi digit addition and subtraction worksheet answers

Key facts

Always line up the digits by place value before you add or subtract.
Next, start at the ones place and work to the left.
Carry 1 to the next place when a column sum is 10 or more.
Regroup 1 from the next place when the top digit is smaller; a 0 becomes 9 after regrouping across it.
Check subtraction by adding, and check addition by subtracting.

Common mistakes with this 4th grade multi digit addition and subtraction worksheet answers

Students see a wrong final answer and erase the whole problem. Instead, compare each column with the key and find the first place where your digits differ.
Students check only the final number and ignore the steps. A right answer reached by a wrong method, such as guessing in problem 12, will fail on the next similar problem.
Students skip the check lines in problems 6, 7, and 10. Instead, those add-back checks are the fastest way to catch your own errors later on a test.
Students copy the key without redoing the problem. Cover the solution, solve again, and only then look at the steps to confirm each carry and regroup.

How to use these solutions

Start by scanning the bold answers only. Mark each one right or wrong, then spend your study time on the wrong ones.
For problem 14, read the explanation of Jamal’s mistake aloud. Also, naming a common error makes you less likely to repeat it.
Parents can ask the child to teach one corrected problem back, step by step. Teaching shows whether the regrouping idea has really sunk in.

Download the 4th grade multi digit addition and subtraction worksheet answers as a PDF with the button below and keep it with your notes.

4th grade multi digit addition and subtraction worksheet answers: frequently asked questions

What if my answer is different from the answer key?

First re-add or re-subtract your own work slowly, one column at a time. Most differences come from a missed carry or a regroup that was not finished. If your steps match the key but the answer still differs, check that the digits sit in the correct places.

Why do some answers show regrouping across several zeros?

Zeros cannot be borrowed from, so the regroup has to travel left to the first nonzero digit. In problem 10, 800,000 becomes 7 hundred thousands and then nines in every place after it, with 10 ones. That is why those answers list so many steps.

How do you know a word problem answer is reasonable?

Round the numbers and do a quick estimate. In problem 15, $12{,}000 + 16{,}000$ is about $28{,}000$, and the exact total of $28{,}130$ fits. An answer far from the estimate means you should look for a slip.

All Grade 4 chapters: Grade 4 math.

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