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Chapter 1: Problem 64

In Exercises \(1-72\), compute the value of each expression. $$57-82-31$$

Short Answer

Expert verified
-56

Step by step solution

01

Simplify the Subtractions Sequentially

First, identify the initial operation in the expression. This involves performing the subtractions from left to right: The original expression is: 57 - 82 - 31.
02

Subtract 82 from 57

Calculate the result of the first subtraction: 57 - 82. This gives: 57 - 82 = -25.
03

Subtract 31 from the Result of Step 2

Now, use the result from Step 2 and subtract 31 from it: -25 - 31. This gives: -25 - 31 = -56.
04

Final Answer

The value of the expression 57 - 82 - 31 is -56.

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Key Concepts

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

Sequential Subtraction
Sequential subtraction involves performing subtraction operations one after another from left to right.
For instance, in the expression given in the exercise, we start with the leftmost subtraction:
  • First, perform the operation on the first two numbers: 57 - 82.
  • Next, take the result from the first operation and subtract the next number: -25 - 31.
This step-by-step approach makes it easier to handle complex expressions.
Negative Numbers
Negative numbers represent values less than zero and are indicated by a minus sign (-).
When working with negative numbers, it is important to remember:
  • Subtraction of a larger number from a smaller number results in a negative number.
  • Combining negative numbers involves adding their absolute values and keeping the result negative.
For example, in the exercise, subtracting 82 from 57 results in -25, and further subtracting 31 results in -56.
Arithmetic Operations
Arithmetic operations are the basic mathematical operations which include addition, subtraction, multiplication, and division.
In this exercise, subtraction is the key operation:
  • Perform subtraction operations from left to right.
  • Combine intermediate results to get the final answer.
Understanding how to carry out these operations accurately is crucial for solving mathematical problems efficiently.

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Most popular questions from this chapter

In Exercises \(73-84\), evaluate the given expression. $$7-3 \cdot 5-1$$

Try to find an approximate value for a square root of \(3 .\) That is, try to find a number that when multiplied by itself gives a product of \(3 .\) Give answers correct to the nearest whole number, nearest tenth, nearest hundredth, and nearest thousandth. Use a calculator to help with the multiplication, but not to compute the square root itself.

Locate the given number between two successive integers on the number line. For example, if the given number is \(2.6,\) it is located between 2 and 3 on the number line. $$0.24$$

In Exercises \(73-84\), evaluate the given expression. $$7-3(5-1)$$

Evaluate the given expression. Remember to follow the order of operations. $$3+2[3+2(3+2)]$$
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