Basic Multiplication Facts
Solve each problem and show your work.
Instructions: Solve each multiplication problem. You may use scratch paper to show your work. Check your answers using the provided solutions.
Multi-Digit Multiplication
Solve each problem using the standard algorithm.
Word Problems
Solve each problem and write your answer in a complete sentence.
Problem 16: 24 × 3
Step 1: Multiply 3 × 4 = 12, write 2 in the ones place, carry 1 to the tens place
Step 2: Multiply 3 × 2 = 6, add the carried 1 = 7, write 7 in the tens place
Step 3: Therefore, 24 × 3 = 72
Problem 31: Bakery loaves
Step 1: Identify what we're looking for - total loaves in 6 days
Step 2: Identify the numbers - 8 loaves per day, for 6 days
Step 3: Identify the operation - "each day" indicates equal groups, so we multiply
Step 4: Calculate - 8 × 6 = 48
Step 5: State the answer - The bakery makes 48 loaves in 6 days.
Multiplication facts: Basic multiplication tables (0-9)
Multi-digit multiplication: Multiplying 2-digit numbers by 1-digit numbers
Standard algorithm: Using place value to multiply each digit
Word problems: Applying multiplication to real-world scenarios
Carrying: Managing products greater than 9 in multiplication
• Forgetting to carry numbers
• Misaligning digits by place value
• Incorrect multiplication facts
• Adding instead of multiplying
• Know basic multiplication facts
• Use scratch paper for work
• Check answers by estimating
• Circle carried numbers
• Practice daily for 10-15 min
• Use flashcards for facts
• Work backwards to check
• Explain your thinking
- Align numbers: Place the numbers vertically with ones under ones
- Multiply ones: Multiply the ones digit of the bottom number by each digit of the top number
- Carry over: When product is greater than 9, carry the tens to the next column
- Repeat: Continue for tens, hundreds, etc. places
- Check: Estimate to verify your answer is reasonable
6 × 4 = 24 (six groups of four = 4+4+4+4+4+4 = 24)
23 × 3 = (20 × 3) + (3 × 3) = 60 + 9 = 69
37 × 4: 4 × 7 = 28 (write 8, carry 2), 4 × 3 = 12, 12 + 2 = 14, so answer is 148
"If 5 students each bring 6 pencils, how many pencils total?"
5 × 6 = 30 pencils
Wrong: 24 × 3 = 62 (forgot to carry 1 from 4×3=12)
Right: 24 × 3 = 72 (carry the 1 from 4×3=12, then 2×3=6, 6+1=7)
Wrong: 4 × 3 = 7 (added instead of multiplying)
Right: 4 × 3 = 12 (four groups of three = 3+3+3+3 = 12)
Look for keywords: "each", "per", "times", "product", "groups of", "total"
When multiplying, ensure digits are aligned properly in their respective place value columns
Hold up both hands. For 9×4, fold down the 4th finger. Count fingers to the left (3) and to the right (6). Answer is 36.
Products always end in 0 or 5. Odd numbers × 5 end in 5, even numbers × 5 end in 0.
Simply add a zero to the end of the number being multiplied.
Multiplying by 2 is the same as doubling the number (adding it to itself).
Spend 10-15 minutes each day reviewing multiplication facts using flashcards, games, or apps.
Notice patterns in multiplication tables to help with memorization (e.g., 9s digits sum to 9).
Regularly test yourself on random multiplication facts to build fluency.
Practice multiplication through real-life scenarios like calculating quantities, prices, or measurements.