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Chapter 1: Problem 495

Translate each phrase into math notation and then simplify. The sum of 30 and 12

Short Answer

Expert verified
42.

Step by step solution

01

Identify the Numbers and Operation

The phrase mentions 'the sum of 30 and 12'. The key term 'sum' indicates addition, and the numbers involved are 30 and 12.
02

Translate to Math Notation

Translate the phrase to a mathematical expression: 30 + 12.
03

Simplify the Expression

Add the two numbers together: 30 + 12 = 42.

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Key Concepts

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

addition
Addition is one of the most basic operations in mathematics. It involves combining two or more numbers to get their total.

When we add two numbers, we call those numbers addends, and the result is called the sum.
For instance, in the problem provided, 30 and 12 are the addends, and their sum is found by the operation addition.
The translation of 'the sum of 30 and 12' is simply written as 30 + 12 in math notation.
This is because the term 'sum' indicates that the process involved is addition. Learning to recognize such keywords is crucial for translating mathematical phrases correctly.
simplify expressions
Simplifying expressions means performing all possible operations to reduce the expression to its simplest form.

Here, the expression given is 30 + 12. Simplification involves adding these two numbers.
Perform the addition: 30 + 12.
The answer is 42. So, 30 + 12 simplifies to 42.
Simplified expressions are easier to work with and understand, as they represent the original phrase in its most concise form.
mathematical phrases
Mathematical phrases are words or combinations of words that describe mathematical operations.
Recognizing these phrases is key to converting words into math notation accurately.
For instance:
  • 'Sum' refers to addition.
  • 'Difference' refers to subtraction.
  • 'Product' refers to multiplication.
  • 'Quotient' refers to division.
Identifying the operation involved helps in constructing the correct expression.

In our example, 'The sum of 30 and 12' includes the term 'sum,' signaling that we need to add 30 and 12 together.

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Most popular questions from this chapter

Translate each phrase to math notation and then simplify. Twice 524

Use Division Notation Translate from math notation to words. $$54 \div 9$$

Multiply. $$\text { (a) }7 \cdot 4 \text { (b) } 4.7$$

Subtract and then check by adding. $$415-296$$

Write each number as a whole number using digits. (a) six hundred thirteen (b) fifty-five thousand two hundred eight
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