Problem 63 - Prealgebra

Question

In the following exercises, translate the following from math expressions to words. $$214 + 642$

Step-by-Step Solution

Answer

Two hundred fourteen plus six hundred forty-two.

Step 1 Title - Understand the Expression

Look at the given mathematical expression. Here, we have the expression 214 + 642.

Step 2 Title - Identify the Numbers

Identify the numbers in the expression. The numbers involved are 214 and 642.

Step 3 Title - Identify the Operation

Determine the mathematical operation used in the expression. The operation is addition (the plus sign).

Step 4 Title - Formulate the Sentence

Translate the expression into words by describing the operation and the numbers involved. The expression can be translated as 'Two hundred fourteen plus six hundred forty-two.'

Key Concepts

Translating Math Expressions

Translating math expressions into words is an important skill in understanding and solving math problems. Let's break it down: When you see a math expression like \( 214 + 642 \), your goal is to read it aloud just like you would in a sentence: 'Two hundred fourteen plus six hundred forty-two.'
This translation process has several key steps:

• Identify the numbers: Look at each part of the expression and see what numbers are involved.
• Identify the operation: Determine what mathematical operation is being used (e.g., addition, subtraction, multiplication, division).
• Formulate the sentence: Combine the numbers and the operation into a coherent sentence that explains the math.

Practice this often to become fluent in reading and understanding math expressions.

Addition in Words

Adding numbers using words can make math more understandable. For the expression \( 214 + 642 \), you're performing an addition operation. Here's a closer look:
When we say 'plus,' we're signaling that we are adding two amounts together. So for \( 214 + 642 \), you are essentially saying: 'Two hundred fourteen increased by six hundred forty-two.'
Breaking it down step-by-step will help you translate math to words easily:

• Say the first number: 'Two hundred fourteen'
• Add the operation: 'plus'
• Say the second number: 'six hundred forty-two'

Put them together, and you've translated the math expression into a complete sentence: 'Two hundred fourteen plus six hundred forty-two.' This method makes math problems easier to discuss and solve, especially when explaining them to others.

Mathematical Operations

Understanding different mathematical operations is crucial for solving math problems. In our example \( 214 + 642 \), the operation we are using is addition. Here’s what you need to know:
Addition involves combining two or more numbers to get a larger number. The symbol for addition is the plus sign (+).
Other common operations include:

• Subtraction: Represented by the minus sign (-), this operation is used to find the difference between numbers.
• Multiplication: Represented by the multiplication sign (×), this operation is used to find the product of numbers.
• Division: Represented by the division sign (÷), this operation is used to find out how many times one number is contained within another.

Recognizing and understanding these different operations will help you tackle a wide range of math problems. The more you practice, the more intuitive it will become.