Multiplication Matrix Worksheet
Standard Algorithm Graph Paper Practice
Multiplication Matrix
Name:
Date: Period:
Score _____ / 20
Traditional Multiplication Algorithm: Step-by-Step Reminder
Keep digits aligned in grid columns!
Step 1
Multiply Ones
Multiply top number by bottom ones digit. Write carries in top row.
Ex: 246 × 5 = 1,230
Step 2
Placeholder Zero
Write 0 in the ones place of line 2 (you are multiplying by tens!).
Ex: Line 2 ends with 0
Step 3
Multiply Tens
Cross out old carries. Multiply top number by bottom tens digit.
Ex: 246 × 30 = 7,380
Step 4
Add Products
Add both partial products column-by-column to get your final product.
Ex: 1,230 + 7,380 = 8,610
Part A
2-Digit by 2-Digit Multiplication (Problems 1–8)
Align each digit inside its graph paper cell. Write final answer on the line.
#1 43 × 26 = _____
4
3
×
2
6
43 × 6 (top) | 43 × 20 (bottom)
#2 58 × 34 = _____
5
8
×
3
4
Placeholder 0 on line 2!
#3 72 × 45 = _____
7
2
×
4
5
Estimate: ~70 × 50 = 3,500
#4 39 × 67 = _____
3
9
×
6
7
Cross out old carries!
#5 84 × 29 = _____
8
4
×
2
9
Line 1: 84 × 9 | Line 2: 84 × 20
#6 65 × 48 = _____
6
5
×
4
8
Estimate: ~65 × 50 = 3,250
#7 93 × 37 = _____
9
3
×
3
7
Keep columns straight!
#8 47 × 82 = _____
4
7
×
8
2
Estimate: ~50 × 80 = 4,000
Self-Check Protocol
Before moving to Page 2, verify:
- ✓ Did I write a placeholder 0 in ones column of line 2?
- ✓ Did I add all carried numbers correctly?
- ✓ Does my answer match my rough estimate?
Turn over for Problems 9–20 →
Multiplication Matrix • Standard Algorithm Grid Worksheet Page 1 of 2
Part A & Part B Independent Practice
Multiplication Matrix • Page 2
Name:
Page 2 Score _____ / 12
Problems 9–20
Problems 9–10 are 2-digit by 2-digit. Problems 11–20 are 3-digit by 2-digit. Use 6-column grids for place value!
Watch place values up to ten-thousands!
#9 76 × 53 = _____
7
6
×
5
3
2-digit × 2-digit
#10 89 × 64 = _____
8
9
×
6
4
2-digit × 2-digit
#11 234 × 32 = _____
2
3
4
×
3
2
3-digit × 2-digit
#12 348 × 25 = _____
3
4
8
×
2
5
3-digit × 2-digit
#13 416 × 37 = _____
4
1
6
×
3
7
3-digit × 2-digit
#14 527 × 43 = _____
5
2
7
×
4
3
3-digit × 2-digit
#15 642 × 28 = _____
6
4
2
×
2
8
3-digit × 2-digit
#16 385 × 54 = _____
3
8
5
×
5
4
3-digit × 2-digit
#17 709 × 36 = _____
7
0
9
×
3
6
Watch out for the middle 0!
#18 835 × 47 = _____
8
3
5
×
4
7
3-digit × 2-digit
#19 468 × 62 = _____
4
6
8
×
6
2
3-digit × 2-digit
#20 954 × 78 = _____
9
5
4
×
7
8
3-digit × 2-digit
Multiplication Matrix • Standard Algorithm Grid Worksheet Page 2 of 2
Multiplication Matrix Answer Key
Teacher Resource Full Diagnostic Solutions
Multiplication Matrix • Answer Key
Total Points 20 Problems
Grading Type Partial Credit Friendly
Blue Line: Partial Product 1 (Top × Ones)
Amber Zero: Placeholder 0 (Multiplying by Tens)
Green Line: Final Product
Part A (Problems 1–8)
#1 Solution Ans: 1,118
1
4
3
×
2
6
2
5
8
8
6
0
1
1
1
8
PP1: 258 | PP2: 860
#2 Solution Ans: 1,972
3
5
8
×
3
4
2
3
2
1
7
0
1
9
7
2
PP1: 232 | PP2: 1,740
#3 Solution Ans: 3,240
1
7
2
×
4
5
3
6
0
2
8
0
3
2
4
0
PP1: 360 | PP2: 2,880
#4 Solution Ans: 2,613
6
3
9
×
6
7
2
7
3
2
3
0
2
6
1
3
PP1: 273 | PP2: 2,340
#5 Solution Ans: 2,436
3
8
4
×
2
9
7
5
6
1
6
0
2
4
3
6
PP1: 756 | PP2: 1,680
#6 Solution Ans: 3,120
4
6
5
×
4
8
5
2
0
2
6
0
3
1
2
0
PP1: 520 | PP2: 2,600
#7 Solution Ans: 3,441
2
9
3
×
3
7
6
5
1
2
7
0
3
4
4
1
PP1: 651 | PP2: 2,790
#8 Solution Ans: 3,854
1
4
7
×
8
2
9
4
3
7
0
3
8
5
4
PP1: 94 | PP2: 3,760
Error Diagnostic Guide
Pinpoint student misconceptions fast:
Missing Placeholder 0: If PP2 is shifted right by 1 column, student forgot multiplying by tens requires a trailing 0.
Old Carries Re-Added: If PP2 is slightly too high, student added carries from step 1 into step 3. Remind them to cross out carries!
Premature Addition: Student added carry before multiplying (e.g. (4+1)×6 instead of (4×6)+1).
See Page 2 for Solutions #9–20 →
Multiplication Matrix • Teacher Answer Key Page 1 of 2
Part A (Cont.) & Part B 3-Digit × 2-Digit Solutions
Multiplication Matrix • Answer Key (Page 2)
Problems 9–20
All partial products (PP1 & PP2) and final sums are verified. Note zero-holding in #17!
Full 6-Column Place Value Precision
#9 Ans: 4,028
1
7
6
×
5
3
2
2
8
3
8
0
0
4
0
2
8
228 + 3,800 = 4,028
#10 Ans: 5,696
3
8
9
×
6
4
3
5
6
5
3
4
0
5
6
9
6
356 + 5,340 = 5,696
#11 Ans: 7,488
1
1
2
3
4
×
3
2
4
6
8
7
0
2
0
7
4
8
8
468 + 7,020 = 7,488
#12 Ans: 8,700
2
4
3
4
8
×
2
5
1
7
4
0
6
9
6
0
8
7
0
0
1,740 + 6,960 = 8,700
#13 Ans: 15,392
1
4
4
1
6
×
3
7
2
9
1
2
1
2
4
8
0
1
5
3
9
2
2,912 + 12,480 = 15,392
#14 Ans: 22,661
2
5
2
7
×
4
3
1
5
8
1
2
1
0
8
0
2
2
6
6
1
1,581 + 21,080 = 22,661
#15 Ans: 17,976
3
1
6
4
2
×
2
8
5
1
3
6
1
2
8
4
0
1
7
9
7
6
5,136 + 12,840 = 17,976
#16 Ans: 20,790
3
2
3
8
5
×
5
4
1
5
4
0
1
9
2
5
0
2
0
7
9
0
1,540 + 19,250 = 20,790
#17 Ans: 25,524
5
7
0
9
×
3
6
4
2
5
4
2
1
2
7
0
2
5
5
2
4
4,254 + 21,270 = 25,524
#18 Ans: 39,245
2
3
8
3
5
×
4
7
5
8
4
5
3
3
4
0
0
3
9
2
4
5
5,845 + 33,400 = 39,245
#19 Ans: 29,016
1
1
4
6
8
×
6
2
9
3
6
2
8
0
8
0
2
9
0
1
6
936 + 28,080 = 29,016
#20 Ans: 74,412
4
3
9
5
4
×
7
8
7
6
3
2
6
6
7
8
0
7
4
4
1
2
7,632 + 66,780 = 74,412
Multiplication Matrix • Teacher Answer Key Page 2 of 2
