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Questions and Answers
Match the following vocabulary words with their definitions:
Match the following vocabulary words with their definitions:
Product = The result of multiplying two or more numbers Partial product = A partial result in a multiplication calculation Decompose = To break down a number into its place values Distributive property = A property that allows multiplication to be distributed over addition
Match the following vocabulary words with their definitions:
Match the following vocabulary words with their definitions:
Area model = A visual representation of a multiplication problem as an area of a rectangle Array = A set of objects arranged in rows and columns Place value = The value of a digit based on its position in a number Column = A vertical arrangement of digits in a multiplication problem
Match the following vocabulary words with their definitions:
Match the following vocabulary words with their definitions:
Factor = A number that divides another number exactly without leaving a remainder Row = A horizontal arrangement of digits in a multiplication problem Horizontal = Arranged from left to right Vertical = Arranged from top to bottom
Match the following vocabulary words with their definitions:
Match the following vocabulary words with their definitions:
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Match the following vocabulary words with their definitions:
Match the following vocabulary words with their definitions:
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What is the value of the tens place in a two-digit number?
What is the value of the tens place in a two-digit number?
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What are the four partial products calculated when multiplying two-digit numbers using the partial products method?
What are the four partial products calculated when multiplying two-digit numbers using the partial products method?
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What is the purpose of understanding place value in multiplying two-digit numbers?
What is the purpose of understanding place value in multiplying two-digit numbers?
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What is the result of multiplying the tens place of 14 by the ones place of 23 in the example 14 × 23?
What is the result of multiplying the tens place of 14 by the ones place of 23 in the example 14 × 23?
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What is the final product of multiplying 14 and 23 using the partial products method?
What is the final product of multiplying 14 and 23 using the partial products method?
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How many partial products are calculated when multiplying two-digit numbers using the partial products method?
How many partial products are calculated when multiplying two-digit numbers using the partial products method?
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Study Notes
Multiplication Vocabulary
- Product: The result of multiplying two or more numbers together.
- Partial product: A part of the product, often calculated by multiplying a single digit of one number with the entire second number.
- Decompose: Breaking down a number into its individual parts, such as hundreds, tens, and ones.
- Property: A rule or characteristic that applies to numbers and operations, such as the commutative or distributive properties.
- Distributive property: A property that allows multiplying a single number by multiple addends, such as 3(x + 4) = 3x + 12.
- Area model: A visual representation of a multiplication problem, where the area of a rectangle is used to represent the product.
- Array: A set of objects arranged in rows and columns, used to represent multiplication.
- Place value: The value of a digit based on its position in a number, such as hundreds, tens, or ones.
- Factor: A number that divides another number exactly, such as 3 is a factor of 12.
- Column: A vertical arrangement of objects or numbers, often used in multiplication.
- Row: A horizontal arrangement of objects or numbers, often used in multiplication.
- Horizontal: A direction or arrangement of objects from left to right.
- Vertical: A direction or arrangement of objects from top to bottom.
- Equation: A statement that two expressions are equal, such as 2x = 6.
- Digit: A single symbol or numeral in a number, such as 1, 2, or 3.
- Two-digit: A number with two digits, such as 14 or 27.
- Multi-digit: A number with more than two digits, such as 345 or 1024.
- Multiplier: A number that is being multiplied by another number.
- Multiplicand: A number that is being multiplied by another number.
- Strategy: A method or approach used to solve a problem, such as using the distributive property or area model.
Multiplying Two-Digit Numbers
Place Value
- In a two-digit number, the left digit represents groups of 10 (tens place) and the right digit represents individual units (ones place)
- Understanding the place value of each digit is crucial for multiplying two-digit numbers
Partial Products Method
- Multiply each digit of one factor by each digit of the other factor to find the partial products
- Calculate partial products by multiplying:
- Tens place by tens place
- Tens place by ones place
- Ones place by tens place
- Ones place by ones place
- Add up the partial products to find the final product
- Example: 14 × 23 = 200 + 30 + 80 + 12 = 322
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Description
Test your understanding of multiplication concepts and vocabulary in 4th grade math. Match words to their definitions, including terms like product, partial product, and distributive property.
