Problem 522 - Prealgebra

Question

Translate and simplify. Subtract sixty-five from one hundred

Step-by-Step Solution

Answer

35

Step 1: Identify the Numbers

First, identify the two numbers in the problem. In this case, we have 'sixty-five' and 'one hundred'.

Step 2: Translate Words to Numbers

Translate the words into numbers. 'Sixty-five' becomes 65 and 'one hundred' becomes 100.

Step 3: Set Up the Subtraction Expression

Set up the mathematical expression for subtraction based on the problem. We need to subtract sixty-five from one hundred, so the expression is: 100 - 65.

Step 4: Perform the Subtraction

Perform the subtraction operation: 100 - 65 = 35

Step 5: Simplify to the Final Answer

Write down the simplified answer: 35

Key Concepts

Mathematical Expressions

In mathematics, expressions are combinations of numbers, variables, and operators (such as +, -, *, and /) that represent a value. When tackling arithmetic problems, we often need to convert written phrases into mathematical expressions. For example, 'subtract sixty-five from one hundred' translates into a subtraction expression where we take the number 65 away from 100. It is important to follow the given instructions carefully to set up the correct arithmetic expression.
In our exercise, the phrase 'subtract sixty-five from one hundred' becomes the mathematical expression: 100 - 65.
Understanding how to construct such expressions is a key skill in solving math problems.

Translating Words to Numbers

Translating words to numbers is an essential step in solving word problems. Numbers can be written in different forms, such as words (sixty-five) or numerals (65).
Steps to translate words to numbers:

• Identify the number words in the problem.
• Convert each word into its numeral form.

For instance, in our exercise:

• 'Sixty-five' translates to 65.
• 'One hundred' translates to 100.

This step ensures that we have the correct numerical values to use in our mathematical expression. It’s important not to skip this step as it forms the foundation for any further operations.

Simplifying Arithmetic Operations

Once we have our numbers and mathematical expressions, the next step is to simplify the arithmetic operations. This means performing the calculations to arrive at a simpler or final form.
In our problem, the operation is subtraction, which is one of the basic arithmetic operations.

• The expression given is 100 - 65.
• To simplify, we perform the subtraction: 100 - 65 = 35.

Remember, simplifying arithmetic operations involves following standard mathematical procedures to reach the final answer. These basics are essential as they form the core of more complex problems.

Step-by-Step Problem Solving

Problem-solving in mathematics often involves breaking down the problem into smaller, manageable steps. This methodical approach ensures clarity and accuracy. Let's review the steps used in our solution:

• Step 1: Identify the numbers mentioned in the problem ('sixty-five' and 'one hundred').
• Step 2: Translate these words into their numerical forms (65 and 100).
• Step 3: Set up the mathematical expression (100 - 65).
• Step 4: Perform the subtraction operation to find the answer.
• Step 5: Simplify and write down the final answer (35).

By clearly following each step, we ensure that every part of the problem is correctly handled. Practice this approach to build confidence and improve problem-solving skills.