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

4th Grade math worksheet solutions: Adding and Subtracting Multi-Digit Numbers – Maths PDF

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

Exercise 1 – Add four digits

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

$6,888$

Exercise 2 – Subtract four digits

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

$3,333$

Exercise 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: $3 + 2 + 1 = 6$.

$6,443$

Exercise 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: $7 – 4 = 3$.

$3,487$

Exercise 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: $4 + 2 + 1 = 7$.

$73,127$

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

$32,632$

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

$3,513$

Exercise 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: $4 – 1 = 3$.

$30,628$

Exercise 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: $3 + 4 + 1 = 8$.

$830,877$

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

$453,075$

Exercise 11 – Add three numbers

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

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

$43,814$

Exercise 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

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

$3,752$

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

$3,368$

Exercise 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

Exercise 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

Exercise 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

Exercise 18 – Farmers market weeks

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

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

$\$13,300.00$

Exercise 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

Exercise 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

All Grade 4 chapters: Grade 4 math.

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