NUMBER SEQUENCES GRADE 4 MATH - worksheetspack - Free Printable

Problem Analysis:

The worksheet involves completing number sequences by counting on or back in ones, tens, hundreds, and thousands. Each part of the problem specifies the step size (ones, tens, hundreds, or thousands) and requires filling in the missing numbers in the sequence.

Solution:

#### 1. Count on or back in ones
- (a) 5702, 5703, 5704, _____, _____, _____
- The sequence increases by 1 each time.
- Next numbers: \( 5704 + 1 = 5705 \), \( 5705 + 1 = 5706 \), \( 5706 + 1 = 5707 \).
- Answer: 5705, 5706, 5707

- (b) 2745, 2744, 2743, _____, _____, _____
- The sequence decreases by 1 each time.
- Next numbers: \( 2743 - 1 = 2742 \), \( 2742 - 1 = 2741 \), \( 2741 - 1 = 2740 \).
- Answer: 2742, 2741, 2740

- (c) 3105, 3104, _____, _____, 3101, _____
- The sequence decreases by 1 each time.
- Missing numbers: \( 3104 - 1 = 3103 \), \( 3103 - 1 = 3102 \), \( 3101 - 1 = 3100 \).
- Answer: 3103, 3102, 3100

#### 2. Count on or back in tens
- (a) 1631, 1621, 1611, _____, _____, _____
- The sequence decreases by 10 each time.
- Next numbers: \( 1611 - 10 = 1601 \), \( 1601 - 10 = 1591 \), \( 1591 - 10 = 1581 \).
- Answer: 1601, 1591, 1581

- (b) 9005, 9015, _____, _____, _____, 9055
- The sequence increases by 10 each time.
- Missing numbers: \( 9015 + 10 = 9025 \), \( 9025 + 10 = 9035 \), \( 9035 + 10 = 9045 \).
- Answer: 9025, 9035, 9045

- (c) 7928, 7938, _____, _____, 7968, _____
- The sequence increases by 10 each time.
- Missing numbers: \( 7938 + 10 = 7948 \), \( 7948 + 10 = 7958 \), \( 7968 + 10 = 7978 \).
- Answer: 7948, 7958, 7978

#### 3. Count on or back in hundreds
- (a) _____, 2662, 2562, _____, _____, 2262
- The sequence decreases by 100 each time.
- Missing numbers: \( 2662 + 100 = 2762 \), \( 2562 - 100 = 2462 \), \( 2462 - 100 = 2362 \).
- Answer: 2762, 2462, 2362

- (b) 6610, 6510, _____, _____, _____, 6110
- The sequence decreases by 100 each time.
- Missing numbers: \( 6510 - 100 = 6410 \), \( 6410 - 100 = 6310 \), \( 6310 - 100 = 6210 \).
- Answer: 6410, 6310, 6210

- (c) 8040, 8140, _____, _____, 8440, _____
- The sequence increases by 100 each time.
- Missing numbers: \( 8140 + 100 = 8240 \), \( 8240 + 100 = 8340 \), \( 8440 + 100 = 8540 \).
- Answer: 8240, 8340, 8540

#### 4. Count on or back in thousands
- (a) 2744, 3744, 4744, _____, _____, _____
- The sequence increases by 1000 each time.
- Next numbers: \( 4744 + 1000 = 5744 \), \( 5744 + 1000 = 6744 \), \( 6744 + 1000 = 7744 \).
- Answer: 5744, 6744, 7744

- (b) 7099, 6099, _____, _____, _____, 2099
- The sequence decreases by 1000 each time.
- Missing numbers: \( 6099 - 1000 = 5099 \), \( 5099 - 1000 = 4099 \), \( 4099 - 1000 = 3099 \).
- Answer: 5099, 4099, 3099

- (c) 9251, 8251, _____, _____, _____, 4251
- The sequence decreases by 1000 each time.
- Missing numbers: \( 8251 - 1000 = 7251 \), \( 7251 - 1000 = 6251 \), \( 6251 - 1000 = 5251 \).
- Answer: 7251, 6251, 5251

Final Answers:

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

Boxed Final Answer:
\[
\boxed{
\begin{array}{l}
\text{1. (a) 5705, 5706, 5707} \\
\text{(b) 2742, 2741, 2740} \\
\text{(c) 3103, 3102, 3100} \\
\text{2. (a) 1601, 1591, 1581} \\
\text{(b) 9025, 9035, 9045} \\
\text{(c) 7948, 7958, 7978} \\
\text{3. (a) 2762, 2462, 2362} \\
\text{(b) 6410, 6310, 6210} \\
\text{(c) 8240, 8340, 8540} \\
\text{4. (a) 5744, 6744, 7744} \\
\text{(b) 5099, 4099, 3099} \\
\text{(c) 7251, 6251, 5251}
\end{array}
}
\]