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Chapter 5: Problem 95

Simplify. (Assume variables are nonzero.) $$ 70 $$

Short Answer

Expert verified
The expression simplifies to 70, as it is already in simplest form.

Step by step solution

01

Understanding the Problem

The problem given requires us to simplify an expression that is a single number, 70, which is already a simplified form since it doesn't have any operations or additional expressions to resolve.
02

Conclusion

Given that the number 70 is already in its simplest form, there are no further steps required to simplify it. Therefore, the answer is 70 itself.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Elementary Algebra
Elementary algebra is like the foundation of a building in mathematics, especially for students who are beginning to learn about algebra. At this stage, algebra involves dealing with single numbers, basic variables, and expressions that don't have overly complex operations. In our case of simplifying the number 70, understanding that numbers themselves can be expressions is the primary step. Many students begin learning algebra by understanding how to manipulate and simplify expressions involving variables, numbers, and constants. Such exercises help students grasp fundamental operations that are crucial as they advance in complexity.
Understanding Problems
One of the first steps in solving any algebra problem is to understand what is being asked. Let's break down our exercise: you need to simplify the number 70. On the surface, it might seem like there is nothing to do since 70 is already simple, but understanding why it is simple is key. Being able to identify that 70 doesn't require further simplification is an important skill in algebra.

Consider the following as ways to approach understanding these types of problems:
  • Identify what the problem is presenting - here, a single number, 70.
  • Determine what form the answer should be in - in this case, it is already as simple as it can be.
  • Ask yourself if there are any operations implied - since 70 is just a number, there are no further operations.
Breaking down each problem helps avoid overthinking and lets you identify quickly what is needed, or in some cases, what is unnecessary.
Simplifying Expressions
Simplifying expressions in algebra means reducing them into their most basic form. This often involves performing operations such as addition, subtraction, multiplication, division, or dealing with powers. However, in the case of the number 70, simplification means recognizing that 70 is already as simple as an expression can be.

Understand the general rule of thumb for simplification:
  • Combine like terms - which doesn't apply here as there are no terms to combine.
  • Apply basic arithmetic operations when necessary.
  • Check for any possible factorization if algebraic expressions are involved. For numbers, ensure there is no further reduction possible.
It's essential to ascertain when no more steps can be taken. This particular problem gives an opportunity to understand simplicity itself, reinforcing that not all algebraic tasks require complex calculations.

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