Expression 6 (10 + 4) is equivalent to 6 (14)
Both expressions produce the same result: 84
<h3>Further explanation </h3>Calculation operations include multiply, divide, add, substract, etc.
In mathematical operations we can use the order of operations / calculations according to the principle of PEMDAS
- P: Parentheses ⇒ ()
- E: Exponents (powers, square roots, etc.) ⇒√, ²
- MD: Multiplication and Division ⇒ x and:
- AS: Addition and Subtraction ⇒ + and -
Multiplication and division or addition and subtraction are interchangeable / rank equally and also the calculations / equation operations should be done from left to right
If we look at Parentheses it shows that
- 1. we do the calculation operation first
- 2. we multiply the numbers in parentheses by the numbers outside the parentheses
From expression 6 (14), the parentheses are telling us to multiply the 6 and the 14 together.
6x14 is the same as expression 6 (14) or (6) 14 or (6) (14). they all equal to 84
Equivalent to 6 (14)
"Equivalent to" means having the same value.
Let see the answer choices available, which produce the same results (in the order of operation, Parentheses done first)
- 6 (10 + 4)
= 6 (14) = 84
- 6 (10 + 14)
= 6 (24) = 144
- 6 (1 + 40)
= 6 (41) = 246
- 6 (10 + 40)
= 6 (50) = 300
The results of the multiplication operations above show that 6 (10 + 4) is equivalent to 6(14)
<h3>Learn more </h3>6 squared divided by 2 (3) +4
an algebraic expression
Keywords: PEMDAS, arithmetic operations, multiply, Parentheses, equivalent to
