Problem 96 Simplify. $$ -3.85+4.2 $$... [FREE SOLUTION]

91影视

Intermediate Algebra : Concepts and Applications

Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

10 Edition

Chapter 4: Problem 96

Simplify. $$ -3.85+4.2 $$

Short Answer

Expert verified

-3.85 + 4.2 = 0.35

Step by step solution

Identify the Numbers

The numbers that need to be simplified are -3.85 and 4.2.

Determine the Operation

The operation required to simplify these numbers is addition.

Perform the Arithmetic Operation

Add the numbers -3.85 + 4.2 = 0.35.

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Key Concepts

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

addition of decimals

To understand the concept of adding decimals, you first need to align the decimal points. This ensures that each place value is correctly added together. For example, if we add -3.85 and 4.2, we need to align the decimal points:

-3.85
+ 4.20
When aligned correctly, you perform the addition digit by digit from right to left. It helps to consider each digit as part of a whole number but in respect to its place value.
Decimal addition is straightforward, but always remember to align those decimal points correctly.

arithmetic operations

Arithmetic operations consist of addition, subtraction, multiplication, and division. Performing these operations correctly is crucial for mathematical accuracy. In the given exercise, the operation is adding two numbers.
When combining -3.85 and 4.2, it鈥檚 vital to follow proper rules of arithmetic. Negative and positive numbers have to be dealt with accordingly during addition or subtraction.
Always track the sign of each number. In addition operations like -3.85 + 4.2, you need to consider subtraction since one number is negative. The final result should keep the sign of the larger absolute value, which in this exercise, is positive, yielding 0.35.

negative and positive numbers

Working with negative and positive numbers can initially be confusing, but with practice, it becomes more intuitive. A positive number added to a negative number means you are essentially subtracting the smaller absolute value from the larger absolute value.
For the example -3.85 + 4.2, since 4.2 is positive and larger than -3.85, you subtract 3.85 from 4.2. The answer retains the sign of the larger number. Thus 4.2 - 3.85 equals 0.35.
It's crucial to track the signs and understand the rules of adding and subtracting negatives and positives. Always remember, keeping the sign of the larger absolute value helps ensure the solution is correct.

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91影视

Simplify. $$ -3.85+4.2 $$

Short Answer

Step by step solution

Identify the Numbers

Determine the Operation

Perform the Arithmetic Operation

Key Concepts

addition of decimals

arithmetic operations

negative and positive numbers

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