NUMBER SEQUENCES GRADE 4 MATH - worksheetspack - Free Printable
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Step-by-step solution for: NUMBER SEQUENCES GRADE 4 MATH - worksheetspack
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Show Answer Key & Explanations
Step-by-step solution for: NUMBER SEQUENCES GRADE 4 MATH - worksheetspack
Let’s go through each part step by step.
---
Section 1: Count on or back in ones
This means we add 1 (count on) or subtract 1 (count back) each time.
(a) 5702, 5703, 5704, ___, ___, ___
→ We’re counting on by 1.
5704 + 1 = 5705
5705 + 1 = 5706
5706 + 1 = 5707
✔ Answer: 5705, 5706, 5707
(b) 2745, 2744, 2743, ___, ___, ___
→ We’re counting back by 1.
2743 - 1 = 2742
2742 - 1 = 2741
2741 - 1 = 2740
✔ Answer: 2742, 2741, 2740
(c) 3105, 3104, ___, ___, 3101, ___
→ Counting back by 1.
3104 - 1 = 3103
3103 - 1 = 3102
Then it says 3101 — that matches!
After 3101: 3101 - 1 = 3100
✔ Answer: 3103, 3102, 3100
---
Section 2: Count on or back in tens
Add or subtract 10 each time.
(a) 1631, 1621, 1611, ___, ___, ___
→ Counting back by 10.
1611 - 10 = 1601
1601 - 10 = 1591
1591 - 10 = 1581
✔ Answer: 1601, 1591, 1581
(b) 9005, 9015, ___, ___, ___, 9055
→ Counting on by 10.
9015 + 10 = 9025
9025 + 10 = 9035
9035 + 10 = 9045
Check: 9045 + 10 = 9055 ✔
✔ Answer: 9025, 9035, 9045
(c) 7928, 7938, ___, ___, 7968, ___
→ Counting on by 10.
7938 + 10 = 7948
7948 + 10 = 7958
Check: 7958 + 10 = 7968 ✔
After 7968: 7968 + 10 = 7978
✔ Answer: 7948, 7958, 7978
---
Section 3: Count on or back in hundreds
Add or subtract 100 each time.
(a) ___, 2662, 2562, ___, ___, 2262
→ Looking at 2662 → 2562: that’s -100. So we’re counting back by 100.
Before 2662: 2662 + 100 = 2762
After 2562: 2562 - 100 = 2462
Then: 2462 - 100 = 2362
Check: 2362 - 100 = 2262 ✔
✔ Answer: 2762, 2462, 2362
(b) 6610, 6510, ___, ___, ___, 6110
→ Counting back by 100.
6510 - 100 = 6410
6410 - 100 = 6310
6310 - 100 = 6210
Check: 6210 - 100 = 6110 ✔
✔ Answer: 6410, 6310, 6210
(c) 8040, 8140, ___, ___, 8440, ___
→ Counting on by 100.
8140 + 100 = 8240
8240 + 100 = 8340
Check: 8340 + 100 = 8440 ✔
After 8440: 8440 + 100 = 8540
✔ Answer: 8240, 8340, 8540
---
Section 4: Count on or back in thousands
Add or subtract 1000 each time.
(a) 2744, 3744, 4744, ___, ___, ___
→ Counting on by 1000.
4744 + 1000 = 5744
5744 + 1000 = 6744
6744 + 1000 = 7744
✔ Answer: 5744, 6744, 7744
(b) 7099, 6099, ___, ___, ___, 2099
→ Counting back by 1000.
6099 - 1000 = 5099
5099 - 1000 = 4099
4099 - 1000 = 3099
Check: 3099 - 1000 = 2099 ✔
✔ Answer: 5099, 4099, 3099
(c) 9251, 8251, ___, ___, ___, 4251
→ Counting back by 1000.
8251 - 1000 = 7251
7251 - 1000 = 6251
6251 - 1000 = 5251
Check: 5251 - 1000 = 4251 ✔
✔ Answer: 7251, 6251, 5251
---
Final Answer:
1. (a) 5705, 5706, 5707
(b) 2742, 2741, 2740
(c) 3103, 3102, 3100
2. (a) 1601, 1591, 1581
(b) 9025, 9035, 9045
(c) 7948, 7958, 7978
3. (a) 2762, 2462, 2362
(b) 6410, 6310, 6210
(c) 8240, 8340, 8540
4. (a) 5744, 6744, 7744
(b) 5099, 4099, 3099
(c) 7251, 6251, 5251
---
Section 1: Count on or back in ones
This means we add 1 (count on) or subtract 1 (count back) each time.
(a) 5702, 5703, 5704, ___, ___, ___
→ We’re counting on by 1.
5704 + 1 = 5705
5705 + 1 = 5706
5706 + 1 = 5707
✔ Answer: 5705, 5706, 5707
(b) 2745, 2744, 2743, ___, ___, ___
→ We’re counting back by 1.
2743 - 1 = 2742
2742 - 1 = 2741
2741 - 1 = 2740
✔ Answer: 2742, 2741, 2740
(c) 3105, 3104, ___, ___, 3101, ___
→ Counting back by 1.
3104 - 1 = 3103
3103 - 1 = 3102
Then it says 3101 — that matches!
After 3101: 3101 - 1 = 3100
✔ Answer: 3103, 3102, 3100
---
Section 2: Count on or back in tens
Add or subtract 10 each time.
(a) 1631, 1621, 1611, ___, ___, ___
→ Counting back by 10.
1611 - 10 = 1601
1601 - 10 = 1591
1591 - 10 = 1581
✔ Answer: 1601, 1591, 1581
(b) 9005, 9015, ___, ___, ___, 9055
→ Counting on by 10.
9015 + 10 = 9025
9025 + 10 = 9035
9035 + 10 = 9045
Check: 9045 + 10 = 9055 ✔
✔ Answer: 9025, 9035, 9045
(c) 7928, 7938, ___, ___, 7968, ___
→ Counting on by 10.
7938 + 10 = 7948
7948 + 10 = 7958
Check: 7958 + 10 = 7968 ✔
After 7968: 7968 + 10 = 7978
✔ Answer: 7948, 7958, 7978
---
Section 3: Count on or back in hundreds
Add or subtract 100 each time.
(a) ___, 2662, 2562, ___, ___, 2262
→ Looking at 2662 → 2562: that’s -100. So we’re counting back by 100.
Before 2662: 2662 + 100 = 2762
After 2562: 2562 - 100 = 2462
Then: 2462 - 100 = 2362
Check: 2362 - 100 = 2262 ✔
✔ Answer: 2762, 2462, 2362
(b) 6610, 6510, ___, ___, ___, 6110
→ Counting back by 100.
6510 - 100 = 6410
6410 - 100 = 6310
6310 - 100 = 6210
Check: 6210 - 100 = 6110 ✔
✔ Answer: 6410, 6310, 6210
(c) 8040, 8140, ___, ___, 8440, ___
→ Counting on by 100.
8140 + 100 = 8240
8240 + 100 = 8340
Check: 8340 + 100 = 8440 ✔
After 8440: 8440 + 100 = 8540
✔ Answer: 8240, 8340, 8540
---
Section 4: Count on or back in thousands
Add or subtract 1000 each time.
(a) 2744, 3744, 4744, ___, ___, ___
→ Counting on by 1000.
4744 + 1000 = 5744
5744 + 1000 = 6744
6744 + 1000 = 7744
✔ Answer: 5744, 6744, 7744
(b) 7099, 6099, ___, ___, ___, 2099
→ Counting back by 1000.
6099 - 1000 = 5099
5099 - 1000 = 4099
4099 - 1000 = 3099
Check: 3099 - 1000 = 2099 ✔
✔ Answer: 5099, 4099, 3099
(c) 9251, 8251, ___, ___, ___, 4251
→ Counting back by 1000.
8251 - 1000 = 7251
7251 - 1000 = 6251
6251 - 1000 = 5251
Check: 5251 - 1000 = 4251 ✔
✔ Answer: 7251, 6251, 5251
---
Final Answer:
1. (a) 5705, 5706, 5707
(b) 2742, 2741, 2740
(c) 3103, 3102, 3100
2. (a) 1601, 1591, 1581
(b) 9025, 9035, 9045
(c) 7948, 7958, 7978
3. (a) 2762, 2462, 2362
(b) 6410, 6310, 6210
(c) 8240, 8340, 8540
4. (a) 5744, 6744, 7744
(b) 5099, 4099, 3099
(c) 7251, 6251, 5251
Parent Tip: Review the logic above to help your child master the concept of math worksheet for grade 4.