Mathematics
Grade 7
15 min
Multiplication facts for 2, 3, 4, 5, and 10: find the missing factor
Multiplication facts for 2, 3, 4, 5, and 10: find the missing factor
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Introduction & Learning Objectives
Learning Objectives
Identify the relationship between multiplication and division as inverse operations.
Accurately recall multiplication facts for 2, 3, 4, 5, and 10.
Apply inverse operations to find a missing factor in a multiplication equation.
Solve algebraic equations of the form $a \times x = b$ where $a \in \{2, 3, 4, 5, 10\}$.
Solve real-world problems that involve finding a missing factor.
Verify their solutions by substituting the found factor back into the original equation.
Ever wondered how many groups of 4 items you need to make a total of 28? 🤔 Let's unlock the secret to finding those hidden numbers in multiplication!
In this lesson, you'll learn how to use your knowledge of multiplication facts for 2, 3, 4, 5, and 10, along with the power of inver...
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Key Concepts & Vocabulary
TermDefinitionExample
FactorA number that is multiplied by another number to get a product. In the equation $a \times b = c$, 'a' and 'b' are factors.In $3 \times 5 = 15$, the numbers 3 and 5 are factors.
ProductThe result obtained when two or more numbers are multiplied together.In $4 \times 6 = 24$, the number 24 is the product.
Missing FactorAn unknown number in a multiplication equation that needs to be found. It is often represented by a variable.In $2 \times n = 18$, 'n' is the missing factor.
Inverse OperationsOperations that undo each other. Multiplication and division are inverse operations.If you multiply by 5, you can undo it by dividing by 5. For example, $(4 \times 5) \div 5 = 4$.
Multiplication FactA basic multiplication problem involving small...
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Core Formulas
Inverse Relationship of Multiplication and Division
If $a \times b = c$, then $b = c \div a$ (and $a = c \div b$).
This rule states that to find a missing factor, you can divide the product by the known factor. This is the fundamental principle for solving missing factor problems.
Solving for a Missing Factor
To find the missing factor in an equation like $a \times x = b$, isolate the variable 'x' by dividing both sides of the equation by the known factor 'a': $x = b \div a$.
This rule provides the direct method for calculating the missing factor. Whatever operation you perform on one side of the equation, you must perform on the other side to maintain equality.
5 more steps in this tutorial
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Challenging
A mathematical pattern is described by the rule $y = 4x$. This is an algebraic way of saying the output 'y' is 4 times the input 'x'. If the output 'y' is 28, what was the input 'x'?
A.112
B.7
C.24
D.32
Challenging
The area of a rectangular classroom is 40 square meters. Its width is 4 meters. A student needs to place a bookshelf along the entire length of this classroom. What is the length of the bookshelf required?
A.10 meters
B.160 meters
C.36 meters
D.9 meters
Challenging
Consider the two equations: $3a = 24$ and $4b = 24$. Which statement accurately describes the relationship between the variables 'a' and 'b'?
A.a is equal to b
B.b is less than a
C.a is greater than b
D.a is half of b
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