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Chapter 1: Problem 4

Translate the English phrase into a mathematical statement and simplify. 16 more than 42

Short Answer

Expert verified
58

Step by step solution

01

Identify Key Terms

Recognize the key terms in the phrase. '16 more than' indicates addition, and '42' is the number to which 16 is being added.
02

Translate to Math Expression

Translate the phrase into a mathematical expression: '16 more than 42' becomes \(42 + 16\).
03

Simplify the Expression

Simplify the math expression by adding the numbers: \(42 + 16 = 58\).

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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 basic arithmetic operations. It involves combining two or more numbers to get a total or sum. In this exercise, the term '16 more than' signals that you need to add 16 to another number, which is 42.

When you see 'more than' in a mathematical context, it typically indicates addition. For example:
  • '5 more than 10' means you add 5 to 10, resulting in 15.
  • '20 more than 8' means you add 20 to 8, resulting in 28.
Recognizing these signals in word problems is important for translating them into mathematical expressions.
Mathematical Translation
Mathematical translation means converting a word problem or phrase into a mathematical expression. This process helps us solve real-world problems using mathematical operations.

In the provided exercise, we translate '16 more than 42' into the mathematical statement: \(42 + 16\). This involves:
  • Identifying the key terms: '16 more than' indicates an addition operation, and 42 is the base number.
  • Writing the mathematical expression: Combining the base number with the operation and additional value results in \(42 + 16\).
Accurate mathematical translation is crucial for solving various mathematical problems and real-life scenarios efficiently.
Arithmetic Operations
Arithmetic operations include addition, subtraction, multiplication, and division. They are fundamental to solving mathematical problems.

In our problem, we focused on addition. The simplified expression \(42 + 16\) is one kind of arithmetic operation. The general rules for simplifying such expressions are:
  • Start by performing operations within parentheses if there are any.
  • Next, carry out any multiplications or divisions from left to right.
  • Finally, perform addition and subtraction from left to right.
This approach helps you simplify expressions systematically and accurately, ensuring you get the correct answer. For instance, by adding 42 and 16, you get 58, which is the simplified form. Remember, understanding these core operations and how to apply them will make solving math problems much easier.

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