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Chapter 1: Problem 80

Subtract. $$ -5.8-(-7.3) $$

Short Answer

Expert verified
1.5

Step by step solution

01

- Identify the Expression

Given expression: equation{-5.8 - (-7.3)}.Notice that we are subtracting a negative number.
02

- Convert Subtraction of a Negative to Addition

Recall that subtracting a negative number is the same as adding its positive equivalent. Therefore, equation{-5.8 - (-7.3)} becomes equation{-5.8 + 7.3}.
03

- Add the Numbers

Now, add the numbers: equation{-5.8 + 7.3 = 1.5}.

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Key Concepts

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

arithmetic operations
Understanding arithmetic operations is fundamental in math. There are four main operations: addition, subtraction, multiplication, and division.
In this exercise, we focus on subtraction. Subtraction essentially asks 'how much more' or 'how much less.'
But arithmetic involving negative numbers can be tricky, so it's important to remember certain rules. Let's dive deeper into these rules in the next sections to fully understand how to tackle such problems with ease.
negative numbers
Negative numbers are values less than zero. Think of them as opposites of positive numbers.
When you subtract a negative number, you are actually adding the positive equivalent of that number. For instance, subtracting (-7.3) is the same as adding 7.3.
This can be remembered with a simple rule: 'Minus a negative is a positive.' Knowing how to manipulate negative numbers is crucial in solving many math problems. Let's see how this rule applies in more detail to our exercise.
order of operations
The order of operations is the sequence in which you perform mathematical operations. The standard order can be remembered using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
In the exercise, we only deal with addition and subtraction. According to PEMDAS, when addition and subtraction appear in the same expression, you perform them in the order they appear, from left to right.
Following this order ensures that mathematical calculations are accurate and consistent. Now, applying these principles, the given exercise simplifies easily to a correct result by following the given steps.

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Most popular questions from this chapter

Write an equivalent expression without using grouping symbols. $$ -[5 x-2 y-3 z] $$

SYNTHESIS Write the sentence \((-x)^{2} \neq-x^{2}\) in words. Explain why \((-x)^{2}\) and \(-x^{2}\) are not equivalent.

Simplify. Jake keys \(18 / 2 \cdot 3\) into his calculator and expects the result to be \(3 .\) What mistake is he probably making?

Simplify using a calculator. Round your answer to the nearest thousandth. $$ \frac{46-(3-8)^{3}}{2\left[35-(18-26)^{2}\right]} $$

Evaluate using a calculator. $$ \frac{1}{2}(x+5 / z)^{2}, \text { for } x=141 \text { and } z=0.2 $$
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