4th grade math Worksheets, word lists and activities. | GreatSchools - Free Printable
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Step-by-step solution for: 4th grade math Worksheets, word lists and activities. | GreatSchools
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Show Answer Key & Explanations
Step-by-step solution for: 4th grade math Worksheets, word lists and activities. | GreatSchools
Let's solve each part of the worksheet step by step.
---
We are adding decimals. Let’s go through each one carefully.
#### a)
```
4.121
+ 2.485
-------
```
Add column by column from right to left:
- Thousandths: 1 + 5 = 6
- Hundredths: 2 + 8 = 10 → write 0, carry 1
- Tenths: 1 + 4 + 1 (carry) = 6
- Units: 4 + 2 = 6
So:
4.121 + 2.485 = 6.606
---
#### b)
```
3.794
+ 5.732
-------
```
- Thousandths: 4 + 2 = 6
- Hundredths: 9 + 3 = 12 → write 2, carry 1
- Tenths: 7 + 7 + 1 = 15 → write 5, carry 1
- Units: 3 + 5 + 1 = 9
So:
3.794 + 5.732 = 9.526
---
#### c)
```
6.782
+ 8.139
-------
```
- Thousandths: 2 + 9 = 11 → write 1, carry 1
- Hundredths: 8 + 3 + 1 = 12 → write 2, carry 1
- Tenths: 7 + 1 + 1 = 9
- Units: 6 + 8 = 14 → write 4, carry 1
- Tens: 1 (carry)
So:
6.782 + 8.139 = 14.921
---
#### a)
```
2.842
+ 3.451
-------
```
- Thousandths: 2 + 1 = 3
- Hundredths: 4 + 5 = 9
- Tenths: 8 + 4 = 12 → write 2, carry 1
- Units: 2 + 3 + 1 = 6
→ 6.293
---
#### b)
```
4.325
+ 2.853
-------
```
- Thousandths: 5 + 3 = 8
- Hundredths: 2 + 5 = 7
- Tenths: 3 + 8 = 11 → write 1, carry 1
- Units: 4 + 2 + 1 = 7
→ 7.178
---
#### c)
```
2.473
+ 5.251
-------
```
- Thousandths: 3 + 1 = 4
- Hundredths: 7 + 5 = 12 → write 2, carry 1
- Tenths: 4 + 2 + 1 = 7
- Units: 2 + 5 = 7
→ 7.724
---
#### d)
```
1.482
+ 2.915
-------
```
- Thousandths: 2 + 5 = 7
- Hundredths: 8 + 1 = 9
- Tenths: 4 + 9 = 13 → write 3, carry 1
- Units: 1 + 2 + 1 = 4
→ 4.397
---
#### e)
```
6.241
+ 3.609
-------
```
- Thousandths: 1 + 9 = 10 → write 0, carry 1
- Hundredths: 4 + 0 + 1 = 5
- Tenths: 2 + 6 = 8
- Units: 6 + 3 = 9
→ 9.850
---
#### f)
```
4.842
+ 2.149
-------
```
- Thousandths: 2 + 9 = 11 → write 1, carry 1
- Hundredths: 4 + 4 + 1 = 9
- Tenths: 8 + 1 = 9
- Units: 4 + 2 = 6
→ 6.991
---
#### a)
1.961 + 1.204 = ?
- 1.961 + 1.204 = 3.165
→ 3.165
---
#### b)
2.531 + 4.236 = ?
- 2.531 + 4.236 = 6.767
→ 6.767
---
#### c)
2.031 + 3.641 = ?
- 2.031 + 3.641 = 5.672
→ 5.672
---
#### d)
3.038 + 4.281 = ?
- 3.038 + 4.281 = 7.319
→ 7.319
---
We are given sums and one addend; find the missing addend.
#### a)
```
2.442
+ ?
------
4.712
```
To find the missing number:
4.712 - 2.442 = ?
Subtract:
- Thousandths: 2 - 2 = 0
- Hundredths: 1 - 4 → can't do, borrow: 11 - 4 = 7
- Tenths: 6 (after borrow) - 4 = 2
- Units: 4 - 2 = 2
Wait:
4.712
-2.442
= 2.270
So: 2.270
But let's check:
2.442 + 2.270 = 4.712 ✔
→ 2.270
---
#### b)
```
1.374
+ ?
------
3.428
```
3.428 - 1.374 = ?
- 3.428
-1.374
= 2.054
Check: 1.374 + 2.054 = 3.428 ✔
→ 2.054
---
#### c)
```
3.628
+ ?
------
5.815
```
5.815 - 3.628 = ?
- 5.815
-3.628
= 2.187
Check: 3.628 + 2.187 = 5.815 ✔
→ 2.187
---
#### 1.
3,617 people went to the local concert on Saturday night, and 3,289 people went on Sunday night. How many people went to the concert over both nights?
Add:
3,617 + 3,289
Break it down:
- 3,617 + 3,289
= (3,000 + 3,000) + (617 + 289)
= 6,000 + 906 = 6,906
Or directly:
```
3,617
+ 3,289
-------
6,906
```
✔ So, 6,906 people attended over both nights.
---
#### 2.
6,512 people went to the rock concert on Saturday night, and 3,813 people went on Sunday night. How many people went to the concert over both nights?
Add:
6,512 + 3,813
```
6,512
+ 3,813
-------
10,325
```
- Units: 2 + 3 = 5
- Tens: 1 + 1 = 2
- Hundreds: 5 + 8 = 13 → write 3, carry 1
- Thousands: 6 + 3 + 1 = 10
So: 10,325
✔ Answer: 10,325 people attended over both nights.
---
#### Section 1:
- 4.121 + 2.485 = 6.606
- 3.794 + 5.732 = 9.526
- 6.782 + 8.139 = 14.921
#### Section 2:
- 2.842 + 3.451 = 6.293
- 4.325 + 2.853 = 7.178
- 2.473 + 5.251 = 7.724
- 1.482 + 2.915 = 4.397
- 6.241 + 3.609 = 9.850
- 4.842 + 2.149 = 6.991
#### Section 3:
- 1.961 + 1.204 = 3.165
- 2.531 + 4.236 = 6.767
- 2.031 + 3.641 = 5.672
- 3.038 + 4.281 = 7.319
#### Section 4:
- Missing number: 2.270
- Missing number: 2.054
- Missing number: 2.187
#### Word Problems:
- Total attendees: 6,906
- Total attendees: 10,325
---
Let me know if you'd like this formatted as a printable answer sheet!
---
1. Find each sum.
We are adding decimals. Let’s go through each one carefully.
#### a)
```
4.121
+ 2.485
-------
```
Add column by column from right to left:
- Thousandths: 1 + 5 = 6
- Hundredths: 2 + 8 = 10 → write 0, carry 1
- Tenths: 1 + 4 + 1 (carry) = 6
- Units: 4 + 2 = 6
So:
4.121 + 2.485 = 6.606
---
#### b)
```
3.794
+ 5.732
-------
```
- Thousandths: 4 + 2 = 6
- Hundredths: 9 + 3 = 12 → write 2, carry 1
- Tenths: 7 + 7 + 1 = 15 → write 5, carry 1
- Units: 3 + 5 + 1 = 9
So:
3.794 + 5.732 = 9.526
---
#### c)
```
6.782
+ 8.139
-------
```
- Thousandths: 2 + 9 = 11 → write 1, carry 1
- Hundredths: 8 + 3 + 1 = 12 → write 2, carry 1
- Tenths: 7 + 1 + 1 = 9
- Units: 6 + 8 = 14 → write 4, carry 1
- Tens: 1 (carry)
So:
6.782 + 8.139 = 14.921
---
2. Find each sum.
#### a)
```
2.842
+ 3.451
-------
```
- Thousandths: 2 + 1 = 3
- Hundredths: 4 + 5 = 9
- Tenths: 8 + 4 = 12 → write 2, carry 1
- Units: 2 + 3 + 1 = 6
→ 6.293
---
#### b)
```
4.325
+ 2.853
-------
```
- Thousandths: 5 + 3 = 8
- Hundredths: 2 + 5 = 7
- Tenths: 3 + 8 = 11 → write 1, carry 1
- Units: 4 + 2 + 1 = 7
→ 7.178
---
#### c)
```
2.473
+ 5.251
-------
```
- Thousandths: 3 + 1 = 4
- Hundredths: 7 + 5 = 12 → write 2, carry 1
- Tenths: 4 + 2 + 1 = 7
- Units: 2 + 5 = 7
→ 7.724
---
#### d)
```
1.482
+ 2.915
-------
```
- Thousandths: 2 + 5 = 7
- Hundredths: 8 + 1 = 9
- Tenths: 4 + 9 = 13 → write 3, carry 1
- Units: 1 + 2 + 1 = 4
→ 4.397
---
#### e)
```
6.241
+ 3.609
-------
```
- Thousandths: 1 + 9 = 10 → write 0, carry 1
- Hundredths: 4 + 0 + 1 = 5
- Tenths: 2 + 6 = 8
- Units: 6 + 3 = 9
→ 9.850
---
#### f)
```
4.842
+ 2.149
-------
```
- Thousandths: 2 + 9 = 11 → write 1, carry 1
- Hundredths: 4 + 4 + 1 = 9
- Tenths: 8 + 1 = 9
- Units: 4 + 2 = 6
→ 6.991
---
3. Write the answer in the box.
#### a)
1.961 + 1.204 = ?
- 1.961 + 1.204 = 3.165
→ 3.165
---
#### b)
2.531 + 4.236 = ?
- 2.531 + 4.236 = 6.767
→ 6.767
---
#### c)
2.031 + 3.641 = ?
- 2.031 + 3.641 = 5.672
→ 5.672
---
#### d)
3.038 + 4.281 = ?
- 3.038 + 4.281 = 7.319
→ 7.319
---
4. Write the missing number in the box.
We are given sums and one addend; find the missing addend.
#### a)
```
2.442
+ ?
------
4.712
```
To find the missing number:
4.712 - 2.442 = ?
Subtract:
- Thousandths: 2 - 2 = 0
- Hundredths: 1 - 4 → can't do, borrow: 11 - 4 = 7
- Tenths: 6 (after borrow) - 4 = 2
- Units: 4 - 2 = 2
Wait:
4.712
-2.442
= 2.270
So: 2.270
But let's check:
2.442 + 2.270 = 4.712 ✔
→ 2.270
---
#### b)
```
1.374
+ ?
------
3.428
```
3.428 - 1.374 = ?
- 3.428
-1.374
= 2.054
Check: 1.374 + 2.054 = 3.428 ✔
→ 2.054
---
#### c)
```
3.628
+ ?
------
5.815
```
5.815 - 3.628 = ?
- 5.815
-3.628
= 2.187
Check: 3.628 + 2.187 = 5.815 ✔
→ 2.187
---
Word Problems
#### 1.
3,617 people went to the local concert on Saturday night, and 3,289 people went on Sunday night. How many people went to the concert over both nights?
Add:
3,617 + 3,289
Break it down:
- 3,617 + 3,289
= (3,000 + 3,000) + (617 + 289)
= 6,000 + 906 = 6,906
Or directly:
```
3,617
+ 3,289
-------
6,906
```
✔ So, 6,906 people attended over both nights.
---
#### 2.
6,512 people went to the rock concert on Saturday night, and 3,813 people went on Sunday night. How many people went to the concert over both nights?
Add:
6,512 + 3,813
```
6,512
+ 3,813
-------
10,325
```
- Units: 2 + 3 = 5
- Tens: 1 + 1 = 2
- Hundreds: 5 + 8 = 13 → write 3, carry 1
- Thousands: 6 + 3 + 1 = 10
So: 10,325
✔ Answer: 10,325 people attended over both nights.
---
✔ Final Answers Summary:
#### Section 1:
- 4.121 + 2.485 = 6.606
- 3.794 + 5.732 = 9.526
- 6.782 + 8.139 = 14.921
#### Section 2:
- 2.842 + 3.451 = 6.293
- 4.325 + 2.853 = 7.178
- 2.473 + 5.251 = 7.724
- 1.482 + 2.915 = 4.397
- 6.241 + 3.609 = 9.850
- 4.842 + 2.149 = 6.991
#### Section 3:
- 1.961 + 1.204 = 3.165
- 2.531 + 4.236 = 6.767
- 2.031 + 3.641 = 5.672
- 3.038 + 4.281 = 7.319
#### Section 4:
- Missing number: 2.270
- Missing number: 2.054
- Missing number: 2.187
#### Word Problems:
- Total attendees: 6,906
- Total attendees: 10,325
---
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of fun for 4th grade math worksheet.