Here are the step-by-step solutions for each problem using the Area Model.
1. $26 \times 73$
*
Step 1: Fill in the boxes.
Multiply the numbers on the outside to find the value inside each box.
* Top Left: $20 \times 70 = 1400$
* Top Right: $6 \times 70 = 420$
* Bottom Left: $20 \times 3 = 60$
* Bottom Right: $6 \times 3 = 18$
*
Step 2: Add the partial products.
$1400 + 420 + 60 + 18 = 1898$
Answer: $1898$
***
2. $32 \times 46$
*
Step 1: Fill in the boxes.
* Top Left: $30 \times 40 = 1200$
* Top Right: $2 \times 40 = 80$
* Bottom Left: $30 \times 6 = 180$
* Bottom Right: $2 \times 6 = 12$
*
Step 2: Add the partial products.
$1200 + 80 + 180 + 12 = 1472$
Answer: $1472$
***
3. $67 \times 34$
*
Step 1: Fill in the boxes.
* Top Left: $60 \times 30 = 1800$
* Top Right: $7 \times 30 = 210$
* Bottom Left: $60 \times 4 = 240$
* Bottom Right: $7 \times 4 = 28$
*
Step 2: Add the partial products.
$1800 + 210 + 240 + 28 = 2278$
Answer: $2278$
***
4. $72 \times 37$
*
Step 1: Fill in the boxes.
* Top Left: $70 \times 30 = 2100$
* Top Right: $2 \times 30 = 60$
* Bottom Left: $70 \times 7 = 490$
* Bottom Right: $2 \times 7 = 14$
*
Step 2: Add the partial products.
$2100 + 60 + 490 + 14 = 2664$
Answer: $2664$
***
5. $66 \times 45$
*
Step 1: Fill in the boxes.
* Top Left: $60 \times 40 = 2400$
* Top Right: $6 \times 40 = 240$
* Bottom Left: $60 \times 5 = 300$
* Bottom Right: $6 \times 5 = 30$
*
Step 2: Add the partial products.
$2400 + 240 + 300 + 30 = 2970$
Answer: $2970$
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Final Answer:
1. 1898
2. 1472
3. 2278
4. 2664
5. 2970
Parent Tip: Review the logic above to help your child master the concept of multiply using partial products worksheet.
