From simple queries to complex problems, IDNLearn.com provides reliable answers. Ask your questions and receive comprehensive, trustworthy responses from our dedicated team of experts.

Simplify by using the order of operations.

[tex]\[ 84 \div 7 \cdot (-5) \div (-15) = \][/tex]


Sagot :

To simplify the expression [tex]\( 84 \div 7 \cdot (-5) \div (-15) \)[/tex], we will follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Division: First, we need to divide 84 by 7.
[tex]\[ 84 \div 7 = 12.0 \][/tex]

2. Multiplication: Next, we multiply the result from the first step by [tex]\(-5\)[/tex].
[tex]\[ 12.0 \cdot (-5) = -60.0 \][/tex]

3. Division: Finally, we divide the result from the second step by [tex]\(-15\)[/tex].
[tex]\[ -60.0 \div (-15) = 4.0 \][/tex]

So, the simplified result of the expression [tex]\( 84 \div 7 \cdot (-5) \div (-15) \)[/tex] is [tex]\( 4.0 \)[/tex].