FREE 4th Grade Daily Math Spiral Review • Teacher Thrive - Free Printable
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Step-by-step solution for: FREE 4th Grade Daily Math Spiral Review • Teacher Thrive
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Show Answer Key & Explanations
Step-by-step solution for: FREE 4th Grade Daily Math Spiral Review • Teacher Thrive
Let's go through each section of the worksheet and solve the problems step by step, explaining the reasoning behind each answer.
---
#### 1. Factors
List all factors for each number:
- 2: 1, 2
- 5: 1, 5
- 7: 1, 7
- 10: 1, 2, 5, 10
- 12: 1, 2, 3, 4, 6, 12
> *Factors are numbers that divide evenly into a given number.*
---
#### 2. Rounding 48,492
Round to:
- Nearest 100: Look at the tens digit (9). Since it’s ≥ 5, round up:
→ 48,500
- Nearest 1,000: Look at the hundreds digit (4). Less than 5, so round down:
→ 48,000
- Nearest 10,000: Look at the thousands digit (8). ≥ 5, so round up:
→ 50,000
---
#### 3. Multiplication Patterns
Given:
- 8 × 10 = 80
- ___ × 10 = 800 → To get 800, we need 80 × 10 = 800 → So 80
- 800 × ___ = 8,000 → 800 × 10 = 8,000 → So 10
- 8,000 × 10 = 80,000
So fill in:
- 80 × 10 = 800
- 800 × 10 = 8,000
- 8,000 × 10 = 80,000
---
#### 4. Complete the Table
| IN | OUT |
|----|-----|
| 2 | 6 |
| 3 | 9 |
| 4 | 12 |
| ? | ? |
Look at pattern:
- 2 → 6 = 2 × 3
- 3 → 9 = 3 × 3
- 4 → 12 = 4 × 3
So the rule is: Multiply by 3
Next input: 5 → 5 × 3 = 15
So complete table:
| IN | OUT |
|----|-----|
| 2 | 6 |
| 3 | 9 |
| 4 | 12 |
| 5 | 15 |
Rule: Multiply by 3
---
#### 5. Measurement Conversions
- 1 meter = 100 centimeters
- 300 centimeters = ? meters
→ 300 ÷ 100 = 3 meters
Now show work:
- 1 × 100 = 100 → 1 meter = 100 cm
- 300 ÷ 100 = 3 → 300 cm = 3 m
---
#### 1. Solve: Shade to represent
$$
\frac{1}{2} = \frac{\boxed{2}}{4}
$$
Because:
- 1/2 = 2/4 (multiply numerator and denominator by 2)
Shade in 2 out of 4 parts in the circle on the right (since 2/4).
> The first circle is split into 2 parts — shade 1.
> The second circle is split into 4 parts — shade 2.
---
#### 2. Add fractions:
$$
\frac{1}{4} + \frac{2}{4} = \frac{3}{4}
$$
Shade 3 out of 4 boxes in the rectangle.
---
#### 3. Multiplication Problems (lattice or grid method)
We’ll do standard multiplication.
(a) 34 × 28
```
34
×28
----
272 ← 34 × 8
680 ← 34 × 20
----
952
```
So: 34 × 28 = 952
(b) 74 × 36
```
74
×36
----
444 ← 74 × 6
2220 ← 74 × 30
----
2664
```
So: 74 × 36 = 2,664
---
#### 4. Associative Property
Complete:
$$
3 × (4 × 2) = (3 × \boxed{4}) × 2
$$
Now:
- 3 × 4 = 12
- 12 × 2 = 24
So:
- 3 × (4 × 2) = (3 × 4) × 2
- 3 × 4 = 12
- 12 × 2 = 24
- Answer: 24
---
#### 5. Word Problem
> A pet store sold 2 birds. They sold 6 times as many turtles as they sold birds. How many turtles did they sell?
- Birds sold: 2
- Turtles sold: 6 × 2 = 12
Answer: 12 turtles
---
---
#### Monday
1. Factors:
- 2: 1, 2
- 5: 1, 5
- 7: 1, 7
- 10: 1, 2, 5, 10
- 12: 1, 2, 3, 4, 6, 12
2. Rounding:
- 100: 48,500
- 1,000: 48,000
- 10,000: 50,000
3. Multiplication:
- 80 × 10 = 800
- 800 × 10 = 8,000
- 8,000 × 10 = 80,000
4. Table:
- Rule: Multiply by 3
- IN: 5 → OUT: 15
5. Measurement:
- 1 meter = 100 cm
- 300 cm = 3 meters
- 1 × 100 = 100
- 300 ÷ 100 = 3
---
#### Tuesday
1. Fractions:
- 1/2 = 2/4 → Shade 2 of 4 parts
2. Addition:
- 1/4 + 2/4 = 3/4 → Shade 3 of 4 boxes
3. Multiplication:
- 34 × 28 = 952
- 74 × 36 = 2,664
4. Associative Property:
- 3 × (4 × 2) = (3 × 4) × 2
- 3 × 4 = 12
- 12 × 2 = 24
5. Word Problem:
- 6 × 2 = 12 turtles
---
✔ All problems solved and explained! Let me know if you'd like this formatted as a printable answer key.
---
Monday
#### 1. Factors
List all factors for each number:
- 2: 1, 2
- 5: 1, 5
- 7: 1, 7
- 10: 1, 2, 5, 10
- 12: 1, 2, 3, 4, 6, 12
> *Factors are numbers that divide evenly into a given number.*
---
#### 2. Rounding 48,492
Round to:
- Nearest 100: Look at the tens digit (9). Since it’s ≥ 5, round up:
→ 48,500
- Nearest 1,000: Look at the hundreds digit (4). Less than 5, so round down:
→ 48,000
- Nearest 10,000: Look at the thousands digit (8). ≥ 5, so round up:
→ 50,000
---
#### 3. Multiplication Patterns
Given:
- 8 × 10 = 80
- ___ × 10 = 800 → To get 800, we need 80 × 10 = 800 → So 80
- 800 × ___ = 8,000 → 800 × 10 = 8,000 → So 10
- 8,000 × 10 = 80,000
So fill in:
- 80 × 10 = 800
- 800 × 10 = 8,000
- 8,000 × 10 = 80,000
---
#### 4. Complete the Table
| IN | OUT |
|----|-----|
| 2 | 6 |
| 3 | 9 |
| 4 | 12 |
| ? | ? |
Look at pattern:
- 2 → 6 = 2 × 3
- 3 → 9 = 3 × 3
- 4 → 12 = 4 × 3
So the rule is: Multiply by 3
Next input: 5 → 5 × 3 = 15
So complete table:
| IN | OUT |
|----|-----|
| 2 | 6 |
| 3 | 9 |
| 4 | 12 |
| 5 | 15 |
Rule: Multiply by 3
---
#### 5. Measurement Conversions
- 1 meter = 100 centimeters
- 300 centimeters = ? meters
→ 300 ÷ 100 = 3 meters
Now show work:
- 1 × 100 = 100 → 1 meter = 100 cm
- 300 ÷ 100 = 3 → 300 cm = 3 m
---
Tuesday
#### 1. Solve: Shade to represent
$$
\frac{1}{2} = \frac{\boxed{2}}{4}
$$
Because:
- 1/2 = 2/4 (multiply numerator and denominator by 2)
Shade in 2 out of 4 parts in the circle on the right (since 2/4).
> The first circle is split into 2 parts — shade 1.
> The second circle is split into 4 parts — shade 2.
---
#### 2. Add fractions:
$$
\frac{1}{4} + \frac{2}{4} = \frac{3}{4}
$$
Shade 3 out of 4 boxes in the rectangle.
---
#### 3. Multiplication Problems (lattice or grid method)
We’ll do standard multiplication.
(a) 34 × 28
```
34
×28
----
272 ← 34 × 8
680 ← 34 × 20
----
952
```
So: 34 × 28 = 952
(b) 74 × 36
```
74
×36
----
444 ← 74 × 6
2220 ← 74 × 30
----
2664
```
So: 74 × 36 = 2,664
---
#### 4. Associative Property
Complete:
$$
3 × (4 × 2) = (3 × \boxed{4}) × 2
$$
Now:
- 3 × 4 = 12
- 12 × 2 = 24
So:
- 3 × (4 × 2) = (3 × 4) × 2
- 3 × 4 = 12
- 12 × 2 = 24
- Answer: 24
---
#### 5. Word Problem
> A pet store sold 2 birds. They sold 6 times as many turtles as they sold birds. How many turtles did they sell?
- Birds sold: 2
- Turtles sold: 6 × 2 = 12
Answer: 12 turtles
---
✔ Final Answers Summary
---
#### Monday
1. Factors:
- 2: 1, 2
- 5: 1, 5
- 7: 1, 7
- 10: 1, 2, 5, 10
- 12: 1, 2, 3, 4, 6, 12
2. Rounding:
- 100: 48,500
- 1,000: 48,000
- 10,000: 50,000
3. Multiplication:
- 80 × 10 = 800
- 800 × 10 = 8,000
- 8,000 × 10 = 80,000
4. Table:
- Rule: Multiply by 3
- IN: 5 → OUT: 15
5. Measurement:
- 1 meter = 100 cm
- 300 cm = 3 meters
- 1 × 100 = 100
- 300 ÷ 100 = 3
---
#### Tuesday
1. Fractions:
- 1/2 = 2/4 → Shade 2 of 4 parts
2. Addition:
- 1/4 + 2/4 = 3/4 → Shade 3 of 4 boxes
3. Multiplication:
- 34 × 28 = 952
- 74 × 36 = 2,664
4. Associative Property:
- 3 × (4 × 2) = (3 × 4) × 2
- 3 × 4 = 12
- 12 × 2 = 24
5. Word Problem:
- 6 × 2 = 12 turtles
---
✔ All problems solved and explained! Let me know if you'd like this formatted as a printable answer key.
Parent Tip: Review the logic above to help your child master the concept of free 4th grade math.