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Expression 6 (10 + 4) is equivalent to 6 (14)

Both expressions produce the same result: 84

Further explanation

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)

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Keywords: PEMDAS, arithmetic operations, multiply, Parentheses, equivalent to

Ver imagen ardni313

The equivalent expression for [tex]6\left( {14} \right)[/tex] is [tex]\boxed{6\left( {10 + 4} \right)}[/tex]. Option (a) is correct.

Further explanation:

Given:

The options are as follows,

A. [tex]6\left( {10 + 4} \right)[/tex]

B. [tex]6\left( {10 + 14} \right)[/tex]

C. [tex]6\left( {1 + 40} \right)[/tex]

D. [tex]6\left( {10 + 40} \right)[/tex]

Explanation

The associative property is defined as a grouping of multiplication, addition, subtraction and division.

The given expression is [tex]6\left( {14} \right).[/tex]

14 can be represented as a sum of 10 and 4.

[tex]14 = 10 + 4[/tex]

The given expression can be expressed as follows,

[tex]6\left( {14} \right) = 6\left( {10 + 4} \right)[/tex]

The equivalent expression for [tex]6\left( {14} \right)[/tex] is [tex]\boxed{6\left( {10 + 4} \right)}.[/tex] Option (a) is correct.

Option (a) is correct.

Option (b) is not correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more

  1. Learn more about the polynomial https://brainly.com/question/12996944
  2. Learn more about logarithm model https://brainly.com/question/13005829
  3. Learn more about the product of binomial and trinomial https://brainly.com/question/1394854

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Number system

Keywords: equivalent, expansion, parenthesis, place value, base value, decimal expansion, whole number, natural number, division, multiplication, subtraction, solve the equation, solution, linear equation.

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