11 Questions
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:
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:
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:
Equation = A statement that two expressions are equal Digit = A single symbol in a numeral, such as 1, 5, or 9 Two-digit = A number with two digits, such as 14 or 27 Multi-digit = A number with three or more digits, such as 456 or 987
Match the following vocabulary words with their definitions:
Multiplier = The factor by which another number is multiplied Multiplicand = The number that is being multiplied Strategy = A plan or approach for solving a problem Property = A characteristic or feature of a mathematical operation
What is the value of the tens place in a two-digit number?
represents groups of 10
What are the four partial products calculated when multiplying two-digit numbers using the partial products method?
Multiply tens place by tens place, Multiply tens place by ones place, Multiply ones place by tens place, Multiply ones place by ones place
What is the purpose of understanding place value in multiplying two-digit numbers?
it is essential for multiplying two-digit numbers
What is the result of multiplying the tens place of 14 by the ones place of 23 in the example 14 × 23?
30
What is the final product of multiplying 14 and 23 using the partial products method?
322
How many partial products are calculated when multiplying two-digit numbers using the partial products method?
4
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
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.
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