Mathematics
Grade 6
15 min
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1
Introduction & Learning Objectives
Learning Objectives
Identify and use various symbols to represent multiplication.
Translate word phrases involving 'times' into numerical expressions.
Translate word phrases involving 'times' into algebraic expressions.
Understand and correctly use the terms 'product' and 'factor'.
Distinguish between multiplication and other operations when writing expressions.
Write multiplication expressions clearly and concisely, especially in algebraic contexts.
Ever wonder how mathematicians say 'multiply' without always using the word? š¤ Let's unlock the secret language of 'times' and learn all the cool ways to write it!
In this lesson, we'll explore the different symbols and notations used to represent multiplica...
2
Key Concepts & Vocabulary
TermDefinitionExample
MultiplicationA mathematical operation that represents repeated addition of the same number. It combines two or more numbers to get a product.3 times 4 means 4 + 4 + 4, which equals 12.
ProductThe result obtained when two or more numbers (factors) are multiplied together.In 5 Ć 6 = 30, the number 30 is the product.
FactorA number that is multiplied by another number to get a product.In 5 Ć 6 = 30, the numbers 5 and 6 are factors.
Multiplication SymbolsThe different signs or notations used to indicate multiplication, such as 'Ć', 'ā
', parentheses, or simply placing numbers/variables next to each other.3 Ć 5, 3 ā
5, (3)(5), and 3n all represent multiplication.
Algebraic ExpressionA mathematical phrase that contains numbers, variables (letters repres...
3
Core Formulas
Standard Multiplication Symbols
$a \times b$ or $a \cdot b$
These are the most common ways to write multiplication between two numbers or between a number and a variable. The 'Ć' symbol is often used in elementary math, while the 'ā
' (dot) is preferred in higher math to avoid confusion with the variable 'x'.
Parentheses for Multiplication
$(a)(b)$ or $a(b)$ or $(a)b$
Parentheses can be used to show multiplication, especially when multiplying two numbers, a number and an expression, or two expressions. This is very useful when dealing with negative numbers or order of operations.
Juxtaposition (Algebraic Multiplication)
$ab$ or $3x$ or $xy$
In algebra, when a number is written directly next to a variable, or when two variables are written...
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Challenging
The perimeter of a square is found by multiplying the side length, s, by 4. The area is found by multiplying the side length by itself (s times s). If a new value is calculated by taking 5 times the perimeter of the square and adding its area, which expression represents this?
A.5(4s) + (s ā
s)
B.4s + 5(s ā
s)
C.5 + 4s + s²
D.4(s + 5s²)
Challenging
The expression 3(x + 4) represents '3 times the sum of x and 4'. Which of the following expressions is equivalent and represents 'the product of 3 and x, plus the product of 3 and 4'?
A.3x + 4
B.x + 12
C.3x + 12
D.7x
Challenging
Write an expression for 'a number z times the sum of 5 and another number w'.
A.z(5 + w)
B.z + 5 + w
C.5zw
D.5(z + w)
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