✏️ FREE Printable 4th Grade Math Worksheets pdf - Free Printable
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Step-by-step solution for: ✏️ FREE Printable 4th Grade Math Worksheets pdf
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Step-by-step solution for: ✏️ FREE Printable 4th Grade Math Worksheets pdf
Let’s go step by step through each problem on the worksheet.
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Monday, Problem 1: Factors
We need to list factors for each number. A factor is a number that divides evenly into another number.
- 2: Factors are numbers that divide 2 → 1 and 2
→ So: 1, 2
- 5: Only 1 and 5 divide 5 evenly
→ So: 1, 5
- 7: Only 1 and 7 divide 7 evenly
→ So: 1, 7
- 10: Numbers that divide 10 → 1, 2, 5, 10
→ So: 1, 2, 5, 10
- 12: Numbers that divide 12 → 1, 2, 3, 4, 6, 12
→ So: 1, 2, 3, 4, 6, 12
✔ Final answers for Problem 1:
- 2: 1, 2
- 5: 1, 5
- 7: 1, 7
- 10: 1, 2, 5, 10
- 12: 1, 2, 3, 4, 6, 12
---
Monday, Problem 2: Round 48,492 to nearest...
Rounding rules: Look at the digit to the right of the place you’re rounding to. If it’s 5 or more, round up. If less than 5, keep the same.
- Nearest 100: Look at tens place (9). 9 ≥ 5 → round up hundreds place (4 becomes 5)
→ 48,500
- Nearest 1,000: Look at hundreds place (4). 4 < 5 → keep thousands place (8 stays 8)
→ 48,000
- Nearest 10,000: Look at thousands place (8). 8 ≥ 5 → round up ten-thousands place (4 becomes 5)
→ 50,000
✔ Final answers for Problem 2:
- 100: 48,500
- 1,000: 48,000
- 10,000: 50,000
---
Monday, Problem 3: Multiplication Patterns
Given:
8 × 10 = 80
___ × 10 = 800 → What times 10 is 800? → 80
800 × ___ = 8,000 → 800 times what is 8,000? → 10
8,000 × 10 = ___ → Just add a zero → 80,000
✔ Final answers for Problem 3:
- 80
- 10
- 80,000
---
Monday, Problem 4: Complete the table
IN | OUT
2 → 6
3 → 9
4 → 12
What’s happening? Each output is 3 times the input.
Rule: Multiply by 3 → “× 3”
So next row: IN = 5 → OUT = 5 × 3 = 15
✔ Rule: × 3
Next pair: IN=5, OUT=15
---
Monday, Problem 5: Metric Conversion
We know:
1 meter = 100 centimeters
So:
1 meter = 100 centimeters
Equation: 1 × 100 = 100
Now: 300 centimeters = ? meters
Divide by 100 → 300 ÷ 100 = 3
Equation: 300 ÷ 100 = 3
✔ Answers:
- 1 meter = 100 centimeters → 1 × 100 = 100
- 300 centimeters = 3 meters → 300 ÷ 100 = 3
---
Tuesday, Problem 1: Fractions – Shade to represent
½ = □/4 → To get denominator 4, multiply numerator and denominator by 2 → ½ = 2/4
Shade half of first circle (which is already split in 2 → shade 1 part)
Second circle is split into 4 → shade 2 parts to show 2/4
✔ Answer: ½ = 2/4
Shade 1 out of 2 in first circle, 2 out of 4 in second circle.
---
Tuesday, Problem 2: Add fractions
¼ + ²⁄₄ = ?
Same denominator → just add numerators: 1 + 2 = 3 → ³⁄₄
Rectangle has 4 boxes → shade 3 of them.
✔ Answer: ¾
Shade 3 out of 4 boxes.
---
Tuesday, Problem 3: Multiply using grid
First: 34 × 28
Break it down:
34 × 20 = 680
34 × 8 = 272
Add: 680 + 272 = 952
Second: 74 × 36
74 × 30 = 2,220
74 × 6 = 444
Add: 2,220 + 444 = 2,664
✔ Answers:
- 34 × 28 = 952
- 74 × 36 = 2,664
---
Tuesday, Problem 4: Associative Property
Problem: 3 × (4 × 2) = (3 × __) × 2
Associative property means grouping doesn’t change result.
Left side: 4 × 2 = 8 → 3 × 8 = 24
Right side: (3 × ?) × 2 = 24 → So (3 × ?) must be 12 → because 12 × 2 = 24 → so ? = 4
Then: 3 × 4 = 12 → 12 × 2 = 24
Final line: 24 = 24
✔ Answers:
- First blank: 4
- Second: 3 × 4 = 12 × 2
- Third: 24 = 24
---
Tuesday, Problem 5: Word Problem
Pet store sold 2 birds.
Sold 6 times as many turtles as birds.
Turtles = 6 × 2 = 12
✔ Answer: They sold 12 turtles.
---
Final Answer:
All problems solved correctly as shown above. Here are the final boxed answers per problem:
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
- 80,000
4. Table Rule: × 3; Next: IN=5, OUT=15
5. Metrics:
- 1 m = 100 cm → 1 × 100 = 100
- 300 cm = 3 m → 300 ÷ 100 = 3
Tuesday:
1. ½ = 2/4 → Shade accordingly
2. ¼ + ²⁄₄ = ¾ → Shade 3 of 4 boxes
3. 34 × 28 = 952; 74 × 36 = 2,664
4. 3 × (4 × 2) = (3 × 4) × 2 → 24 = 24
5. Turtles sold: 12
---
Monday, Problem 1: Factors
We need to list factors for each number. A factor is a number that divides evenly into another number.
- 2: Factors are numbers that divide 2 → 1 and 2
→ So: 1, 2
- 5: Only 1 and 5 divide 5 evenly
→ So: 1, 5
- 7: Only 1 and 7 divide 7 evenly
→ So: 1, 7
- 10: Numbers that divide 10 → 1, 2, 5, 10
→ So: 1, 2, 5, 10
- 12: Numbers that divide 12 → 1, 2, 3, 4, 6, 12
→ So: 1, 2, 3, 4, 6, 12
✔ Final answers for Problem 1:
- 2: 1, 2
- 5: 1, 5
- 7: 1, 7
- 10: 1, 2, 5, 10
- 12: 1, 2, 3, 4, 6, 12
---
Monday, Problem 2: Round 48,492 to nearest...
Rounding rules: Look at the digit to the right of the place you’re rounding to. If it’s 5 or more, round up. If less than 5, keep the same.
- Nearest 100: Look at tens place (9). 9 ≥ 5 → round up hundreds place (4 becomes 5)
→ 48,500
- Nearest 1,000: Look at hundreds place (4). 4 < 5 → keep thousands place (8 stays 8)
→ 48,000
- Nearest 10,000: Look at thousands place (8). 8 ≥ 5 → round up ten-thousands place (4 becomes 5)
→ 50,000
✔ Final answers for Problem 2:
- 100: 48,500
- 1,000: 48,000
- 10,000: 50,000
---
Monday, Problem 3: Multiplication Patterns
Given:
8 × 10 = 80
___ × 10 = 800 → What times 10 is 800? → 80
800 × ___ = 8,000 → 800 times what is 8,000? → 10
8,000 × 10 = ___ → Just add a zero → 80,000
✔ Final answers for Problem 3:
- 80
- 10
- 80,000
---
Monday, Problem 4: Complete the table
IN | OUT
2 → 6
3 → 9
4 → 12
What’s happening? Each output is 3 times the input.
Rule: Multiply by 3 → “× 3”
So next row: IN = 5 → OUT = 5 × 3 = 15
✔ Rule: × 3
Next pair: IN=5, OUT=15
---
Monday, Problem 5: Metric Conversion
We know:
1 meter = 100 centimeters
So:
1 meter = 100 centimeters
Equation: 1 × 100 = 100
Now: 300 centimeters = ? meters
Divide by 100 → 300 ÷ 100 = 3
Equation: 300 ÷ 100 = 3
✔ Answers:
- 1 meter = 100 centimeters → 1 × 100 = 100
- 300 centimeters = 3 meters → 300 ÷ 100 = 3
---
Tuesday, Problem 1: Fractions – Shade to represent
½ = □/4 → To get denominator 4, multiply numerator and denominator by 2 → ½ = 2/4
Shade half of first circle (which is already split in 2 → shade 1 part)
Second circle is split into 4 → shade 2 parts to show 2/4
✔ Answer: ½ = 2/4
Shade 1 out of 2 in first circle, 2 out of 4 in second circle.
---
Tuesday, Problem 2: Add fractions
¼ + ²⁄₄ = ?
Same denominator → just add numerators: 1 + 2 = 3 → ³⁄₄
Rectangle has 4 boxes → shade 3 of them.
✔ Answer: ¾
Shade 3 out of 4 boxes.
---
Tuesday, Problem 3: Multiply using grid
First: 34 × 28
Break it down:
34 × 20 = 680
34 × 8 = 272
Add: 680 + 272 = 952
Second: 74 × 36
74 × 30 = 2,220
74 × 6 = 444
Add: 2,220 + 444 = 2,664
✔ Answers:
- 34 × 28 = 952
- 74 × 36 = 2,664
---
Tuesday, Problem 4: Associative Property
Problem: 3 × (4 × 2) = (3 × __) × 2
Associative property means grouping doesn’t change result.
Left side: 4 × 2 = 8 → 3 × 8 = 24
Right side: (3 × ?) × 2 = 24 → So (3 × ?) must be 12 → because 12 × 2 = 24 → so ? = 4
Then: 3 × 4 = 12 → 12 × 2 = 24
Final line: 24 = 24
✔ Answers:
- First blank: 4
- Second: 3 × 4 = 12 × 2
- Third: 24 = 24
---
Tuesday, Problem 5: Word Problem
Pet store sold 2 birds.
Sold 6 times as many turtles as birds.
Turtles = 6 × 2 = 12
✔ Answer: They sold 12 turtles.
---
Final Answer:
All problems solved correctly as shown above. Here are the final boxed answers per problem:
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
- 80,000
4. Table Rule: × 3; Next: IN=5, OUT=15
5. Metrics:
- 1 m = 100 cm → 1 × 100 = 100
- 300 cm = 3 m → 300 ÷ 100 = 3
Tuesday:
1. ½ = 2/4 → Shade accordingly
2. ¼ + ²⁄₄ = ¾ → Shade 3 of 4 boxes
3. 34 × 28 = 952; 74 × 36 = 2,664
4. 3 × (4 × 2) = (3 × 4) × 2 → 24 = 24
5. Turtles sold: 12
Parent Tip: Review the logic above to help your child master the concept of 4th grade math review worksheets.