Problem 313 - Prealgebra

Question

In the following exercises, translate and simplify. 20 more than 980

Step-by-Step Solution

Answer

1000

Step 1 - Understand the phrase

The phrase '20 more than 980' means that 20 is added to 980.

Step 2 - Translate to a mathematical expression

Translate the phrase into a mathematical expression: 980 + 20.

Step 3 - Simplify the expression

Perform the addition: 980 + 20 = 1000.

Key Concepts

Addition

Addition is one of the fundamental operations in mathematics. It combines two or more numbers to get a sum. When adding, it doesn't matter in what order you add the numbers – this is called the commutative property. For example, adding 20 to 980 is the same as adding 980 to 20.

Let's break down an example:

• Start with the first number, 980.
• Add the second number, 20.

When you add these together, you get 1000. This process is simple but essential in math. Addition helps us understand how quantities combine in everyday life, like when you tally your total bill at a store or calculate the score in a game.

Simplification

Simplification refers to the process of making a mathematical expression easier to understand or solve. It often involves performing operations like addition, subtraction, multiplication, or division.

For example, let's consider the expression from the exercise: 980 + 20. Simplifying involves the following steps:

• Identify the numbers in the expression.
• Perform the addition operation: 980 + 20.
• Arrive at the result, which is 1000.

Simplification is crucial because it helps in reducing complex problems into more manageable forms. This ensures that they are easier to comprehend and solve, whether you're dealing with algebra, calculus, or basic arithmetic.

Mathematical Expression

A mathematical expression is a combination of numbers, operators, and variables that represent a value. In the given exercise, the phrase '20 more than 980' translates into the mathematical expression 980 + 20.

Breaking it down:

• The number 980 is one part of our expression.
• 'More than' indicates addition.
• The number 20 is the second part of our expression.

By combining these elements, we form the expression 980 + 20, which can be further simplified to 1000. Understanding how to create and interpret mathematical expressions is a foundational skill that applies to various areas of math and science. It allows us to translate real-world problems into a form that can be easily analyzed and solved.