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Chapter 1: Problem 603

Translate each phrase to math notation and then simplify. The sum of 16 and 58

Short Answer

Expert verified
74

Step by step solution

01

Identify the Components

Determine what the phrase is asking for. The phrase is 'The sum of 16 and 58'.
02

Translation to Math Notation

Translate the phrase to an addition equation. 'The sum of' indicates addition. Therefore, the phrase can be written in math notation as: 16 + 58
03

Simplification

Perform the addition of the two numbers. 16 + 58 = 74

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Key Concepts

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

The Concept of Sum
In mathematics, the term 'sum' refers to the result of adding two or more numbers together. When a math problem asks for the 'sum' of specific numbers, it is essentially asking what you get when you combine those numbers through addition.

Consider the original exercise: 'The sum of 16 and 58鈥�. Here, 'sum' signals that you will be adding 16 and 58 together. So, when you see the word 'sum' in a math problem, it directly indicates an addition operation.
Understanding Addition
Addition is one of the basic arithmetic operations. It involves combining two or more numbers to get a total. The numbers you add together are referred to as 'addends', and the resulting number is called the 'sum'.

In the given exercise, the addends are 16 and 58. Using addition, we combine these two numbers: 16 + 58.

Addition is commutative, which means the order of the addends does not change the sum. So, 16 + 58 is the same as 58 + 16.
This fundamental property simplifies addition problems and helps in verifying the results.
Simplification of Addition
Simplification in mathematics means reducing an expression or solving an equation to get a clearer, simpler result. After translating a phrase to a math notation, the next step is to simplify it.

For instance, in the phrase 'The sum of 16 and 58鈥�, after translating it into the addition equation 16 + 58, we simplify by adding the numbers together.
  • Start by adding the units place: 6 + 8 = 14. Write down 4 and carry over 1 to the tens place.
  • Next, add the tens place along with the carried-over number: 1 + 5 + 1 = 7.
Together, this gives us the simplified result: 16 + 58 = 74.

Thus, simplification makes our final answer easier to understand and use.

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