Place Value Worksheets with Answer Key - Free Printable
Educational worksheet: Place Value Worksheets with Answer Key. Download and print for classroom or home learning activities.
JPG
742×1050
169.3 KB
Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #1254306
⭐
Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheets with Answer Key
▼
Show Answer Key & Explanations
Step-by-step solution for: Place Value Worksheets with Answer Key
Let’s solve each problem step by step.
---
Problem ①: 40,000 + 300 + 7 = ?
Think of place values:
- 40,000 → ten-thousands place
- 300 → hundreds place
- 7 → ones place
So we have:
→ 4 in the ten-thousands place
→ 0 in thousands (since nothing is given)
→ 3 in hundreds
→ 0 in tens (nothing given)
→ 7 in ones
That makes: 40,307
✔ Check: 40,000 + 300 = 40,300; 40,300 + 7 = 40,307 ✔️
---
Problem ②: 90,000 + 6,000 + 60 + 4 = ?
Break it down:
- 90,000 → ten-thousands
- 6,000 → thousands
- 60 → tens
- 4 → ones
Missing: hundreds → so 0 in hundreds
So digits: 9 (ten-thousands), 6 (thousands), 0 (hundreds), 6 (tens), 4 (ones)
→ 96,064
✔ Check: 90,000 + 6,000 = 96,000; 96,000 + 60 = 96,060; 96,060 + 4 = 96,064 ✔️
---
Problem ③: 30,000 + 5,000 + 700 + 60 + 1 = ?
Add them up:
- 30,000 + 5,000 = 35,000
- 35,000 + 700 = 35,700
- 35,700 + 60 = 35,760
- 35,760 + 1 = 35,761
Digits: 3 (ten-thousands), 5 (thousands), 7 (hundreds), 6 (tens), 1 (ones) → matches!
✔ Final: 35,761
---
Problem ④: 40,000 + 8,000 + 600 + 60 + 4 = ?
Step-by-step:
- 40,000 + 8,000 = 48,000
- 48,000 + 600 = 48,600
- 48,600 + 60 = 48,660
- 48,660 + 4 = 48,664
Digits: 4, 8, 6, 6, 4 → correct.
✔ Final: 48,664
---
Problem ⑤: 90,000 + 5,000 + 300 + 80 + 2 = ?
Add:
- 90,000 + 5,000 = 95,000
- 95,000 + 300 = 95,300
- 95,300 + 80 = 95,380
- 95,380 + 2 = 95,382
Digits: 9, 5, 3, 8, 2 → perfect.
✔ Final: 95,382
---
Now for missing numbers:
Problem ⑥: ___ + 8000 + 500 + 50 + 3 = 98,553
We know total is 98,553.
Subtract what’s given:
8000 + 500 = 8500
8500 + 50 = 8550
8550 + 3 = 8553
Now subtract from total:
98,553 - 8,553 = ?
Do it carefully:
98,553
– 8,553
= 90,000
Check: 90,000 + 8,000 = 98,000; +500 = 98,500; +50 = 98,550; +3 = 98,553 ✔️
✔ Missing number: 90,000
---
Problem ⑦: 10,000 + ___ + 700 + 70 + 6 = 16,776
Total = 16,776
Given: 10,000 + 700 + 70 + 6 = ?
10,000 + 700 = 10,700
10,700 + 70 = 10,770
10,770 + 6 = 10,776
Now subtract:
16,776 – 10,776 = 6,000
Check: 10,000 + 6,000 = 16,000; +700 = 16,700; +70 = 16,770; +6 = 16,776 ✔️
✔ Missing number: 6,000
---
Problem ⑧: ___ + 6,000 + 600 + 20 + 6 = 96,626
Sum of known parts:
6,000 + 600 = 6,600
6,600 + 20 = 6,620
6,620 + 6 = 6,626
Total needed: 96,626
So missing = 96,626 – 6,626 = 90,000
Check: 90,000 + 6,000 = 96,000; +600 = 96,600; +20 = 96,620; +6 = 96,626 ✔️
✔ Missing number: 90,000
---
Problem ⑨: 20,000 + ___ + 600 + 20 + 4 = 22,624
Known sum:
600 + 20 = 620
620 + 4 = 624
Plus 20,000 → 20,624
Total needed: 22,624
Missing = 22,624 – 20,624 = 2,000
Check: 20,000 + 2,000 = 22,000; +600 = 22,600; +20 = 22,620; +4 = 22,624 ✔️
✔ Missing number: 2,000
---
Problem ⑩: 30,000 + 0 + ___ + 20 + 4 = 30,524
Note: “+ 0” means no thousands — that’s fine.
Known:
30,000 + 0 = 30,000
Then add 20 + 4 = 24 → so far 30,024
Total needed: 30,524
So missing = 30,524 – 30,024 = 500
Wait — let’s check positions:
The blank is in the *hundreds* place? Let’s see:
Equation: 30,000 (ten-thousands) + 0 (thousands) + ___ (hundreds?) + 20 (tens) + 4 (ones) = 30,524
So if we put 500 in the blank:
30,000 + 0 + 500 + 20 + 4 = 30,524 ✔️
Yes! Because 30,000 + 500 = 30,500; +20 = 30,520; +4 = 30,524.
✔ Missing number: 500
---
Final Answer:
① 40,307
② 96,064
③ 35,761
④ 48,664
⑤ 95,382
⑥ 90,000
⑦ 6,000
⑧ 90,000
⑨ 2,000
⑩ 500
---
Problem ①: 40,000 + 300 + 7 = ?
Think of place values:
- 40,000 → ten-thousands place
- 300 → hundreds place
- 7 → ones place
So we have:
→ 4 in the ten-thousands place
→ 0 in thousands (since nothing is given)
→ 3 in hundreds
→ 0 in tens (nothing given)
→ 7 in ones
That makes: 40,307
✔ Check: 40,000 + 300 = 40,300; 40,300 + 7 = 40,307 ✔️
---
Problem ②: 90,000 + 6,000 + 60 + 4 = ?
Break it down:
- 90,000 → ten-thousands
- 6,000 → thousands
- 60 → tens
- 4 → ones
Missing: hundreds → so 0 in hundreds
So digits: 9 (ten-thousands), 6 (thousands), 0 (hundreds), 6 (tens), 4 (ones)
→ 96,064
✔ Check: 90,000 + 6,000 = 96,000; 96,000 + 60 = 96,060; 96,060 + 4 = 96,064 ✔️
---
Problem ③: 30,000 + 5,000 + 700 + 60 + 1 = ?
Add them up:
- 30,000 + 5,000 = 35,000
- 35,000 + 700 = 35,700
- 35,700 + 60 = 35,760
- 35,760 + 1 = 35,761
Digits: 3 (ten-thousands), 5 (thousands), 7 (hundreds), 6 (tens), 1 (ones) → matches!
✔ Final: 35,761
---
Problem ④: 40,000 + 8,000 + 600 + 60 + 4 = ?
Step-by-step:
- 40,000 + 8,000 = 48,000
- 48,000 + 600 = 48,600
- 48,600 + 60 = 48,660
- 48,660 + 4 = 48,664
Digits: 4, 8, 6, 6, 4 → correct.
✔ Final: 48,664
---
Problem ⑤: 90,000 + 5,000 + 300 + 80 + 2 = ?
Add:
- 90,000 + 5,000 = 95,000
- 95,000 + 300 = 95,300
- 95,300 + 80 = 95,380
- 95,380 + 2 = 95,382
Digits: 9, 5, 3, 8, 2 → perfect.
✔ Final: 95,382
---
Now for missing numbers:
Problem ⑥: ___ + 8000 + 500 + 50 + 3 = 98,553
We know total is 98,553.
Subtract what’s given:
8000 + 500 = 8500
8500 + 50 = 8550
8550 + 3 = 8553
Now subtract from total:
98,553 - 8,553 = ?
Do it carefully:
98,553
– 8,553
= 90,000
Check: 90,000 + 8,000 = 98,000; +500 = 98,500; +50 = 98,550; +3 = 98,553 ✔️
✔ Missing number: 90,000
---
Problem ⑦: 10,000 + ___ + 700 + 70 + 6 = 16,776
Total = 16,776
Given: 10,000 + 700 + 70 + 6 = ?
10,000 + 700 = 10,700
10,700 + 70 = 10,770
10,770 + 6 = 10,776
Now subtract:
16,776 – 10,776 = 6,000
Check: 10,000 + 6,000 = 16,000; +700 = 16,700; +70 = 16,770; +6 = 16,776 ✔️
✔ Missing number: 6,000
---
Problem ⑧: ___ + 6,000 + 600 + 20 + 6 = 96,626
Sum of known parts:
6,000 + 600 = 6,600
6,600 + 20 = 6,620
6,620 + 6 = 6,626
Total needed: 96,626
So missing = 96,626 – 6,626 = 90,000
Check: 90,000 + 6,000 = 96,000; +600 = 96,600; +20 = 96,620; +6 = 96,626 ✔️
✔ Missing number: 90,000
---
Problem ⑨: 20,000 + ___ + 600 + 20 + 4 = 22,624
Known sum:
600 + 20 = 620
620 + 4 = 624
Plus 20,000 → 20,624
Total needed: 22,624
Missing = 22,624 – 20,624 = 2,000
Check: 20,000 + 2,000 = 22,000; +600 = 22,600; +20 = 22,620; +4 = 22,624 ✔️
✔ Missing number: 2,000
---
Problem ⑩: 30,000 + 0 + ___ + 20 + 4 = 30,524
Note: “+ 0” means no thousands — that’s fine.
Known:
30,000 + 0 = 30,000
Then add 20 + 4 = 24 → so far 30,024
Total needed: 30,524
So missing = 30,524 – 30,024 = 500
Wait — let’s check positions:
The blank is in the *hundreds* place? Let’s see:
Equation: 30,000 (ten-thousands) + 0 (thousands) + ___ (hundreds?) + 20 (tens) + 4 (ones) = 30,524
So if we put 500 in the blank:
30,000 + 0 + 500 + 20 + 4 = 30,524 ✔️
Yes! Because 30,000 + 500 = 30,500; +20 = 30,520; +4 = 30,524.
✔ Missing number: 500
---
Final Answer:
① 40,307
② 96,064
③ 35,761
④ 48,664
⑤ 95,382
⑥ 90,000
⑦ 6,000
⑧ 90,000
⑨ 2,000
⑩ 500
Parent Tip: Review the logic above to help your child master the concept of place value worksheet year 5.
