Partial Products Basics
Multiplying 3-Digit by 2-Digit Numbers
Example Problems
Strategies and Tips
100

Clue: The result of multiplying a number by 1.

Answer: The number itself

100

Clue: This is the first number in a multiplication problem with three digits.

Answer: Three-digit number

100

Clue: Multiply 123 by 12 using partial products.

Answer: 1476

100

Clue: This is a helpful tool to organize your work in multiplication.

Answer: Area model

200

Clue: The method that breaks down multiplication into smaller parts.

Answer: Partial products

200

Clue: The second number in a multiplication problem with two digits.

Answer: Two-digit number

200

Clue: Multiply 234 by 15 using partial products.

Answer: 3510

200

Clue: This is the first step in the area model for partial products.

Answer: Draw a rectangle

300

Clue: The first step in partial products multiplication involves this operation.

Answer: Breaking down the numbers

300

Clue: The process of multiplying each digit of the second number by the entire first number.

Answer: Distributive property

300

Clue: Multiply 456 by 23 using partial products.

Answer: 10488

300

Clue: This is useful for checking your work after multiplication.

Answer: Estimation

400

Clue: This is the total when all partial products are added together.

Answer: Final product

400

Clue: This is the product of the tens place of the two-digit number and the three-digit number.

Answer: Tens partial product

400

Clue: Multiply 312 by 24 using partial products.

Answer: 7488

400

Clue: This strategy involves breaking numbers into hundreds, tens, and ones.

Answer: Expanded form

500

Clue: This term describes the numbers multiplied together in a multiplication problem.

Answer: Factors

500

Clue: This is the product of the ones place of the two-digit number and the three-digit number.

Answer: Ones partial product

500

Clue: Multiply 789 by 34 using partial products.

Answer: 26706

500

Clue: This is a common mistake made during partial products multiplication.

Answer: Forgetting to add all partial products together

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