Answer:
YOU CAN LEARN FROM THIS EXPRESSION FOR OTHER EXPRESSIONS
Step-by-step explanation:
Certainly! Let’s consider the mathematical expression 8×(3+5)
.
To determine which estimate is closer to the actual value, we need to evaluate the expression step by step following the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
Parentheses: Calculate the value inside the parentheses first.
3+5=8
Multiplication: Now multiply the result by 8.
8×8=64
So, the actual value of the expression is 64.
If we had two estimates, say 60 and 70, then 70 would be closer to the actual value of 64. The reasoning behind this is based on the difference between the estimates and the actual value:
The difference between 60 and 64 is ( |60 - 64| = 4 ).
The difference between 70 and 64 is ( |70 - 64| = 6 ).
Since 4 is less than 6, the estimate of 60 is closer to the actual value of 64.
