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Chapter 0: Problem 31

For exercises 1-80, evaluate. $$ 19-(10-3) $$

Short Answer

Expert verified
12

Step by step solution

01

Simplify the expression inside the parentheses

First, simplify the expression within the parentheses. Calculate the value of 10 - 3.So, 10 - 3 = 7.
02

Substitute the simplified value back into the expression

Replace the expression (10 - 3) with its simplified value, which is 7. The expression now becomes 19 - 7.
03

Evaluate the remaining expression

Subtract 7 from 19. So, 19 - 7 = 12.

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Key Concepts

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

Simplifying Expressions
Simplifying expressions is all about making an expression as simple as possible. In the given exercise, we started by simplifying the expression inside the parentheses: 10 - 3.

Here鈥檚 how you do it:
  • Identify parts of the expression that can be simplified like within parentheses or other specific operations.
  • Carry out the operation inside the parentheses.
For example, in the expression 19 - (10 - 3), focus on the parentheses:
10 - 3 to get 7.

By simplifying this part, the equation 19 - (10 - 3) becomes 19 - 7.
Simplifying helps to make the next steps easier and more straightforward.
Evaluating Expressions
Evaluating an expression involves finding the value of the expression once all operations are done. Let's look at how we evaluated 19 - 7.

Follow these steps:
  • Simplify any parts of the expression that can be simplified first.
  • Once the expression is in its simplest form, carry out the operations in the correct order.
In our example, after simplifying the inside of the parentheses to get 7, the expression 19 - (10 - 3) changes to 19 - 7.

Next, carry out the subtraction to find the value:
19 - 7 = 12.

Evaluating expressions ensures you get the final value of the expression.
Subtraction in Algebra
Subtraction in algebra works like regular subtraction but often involves dealing with more complicated expressions. Here are some steps and tips to handle subtraction in algebra:

  • Always simplify inside parentheses or any grouping symbols first.
  • Look for like terms that you can combine via subtraction.
  • Be mindful of positive and negative signs when subtracting; errors here can lead to wrong results.
In our exercise, we started with:
19 - (10 - 3).
By simplifying the inside of the parentheses first, 10 - 3 = 7.
Then, we performed the remaining subtraction: 19 - 7.
Subtraction is a critical component in solving algebraic expressions accurately.

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Most popular questions from this chapter

$$ \text { Find } 125 \% \text { of } 65 $$

For exercises 39-46, rewrite the percent as a fraction. Simplify the fraction into lowest terms. $$ 117 \% $$

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For exercises \(47-58\), rewrite the percent as a decimal number. $$ 0.6 \% $$

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