Problem 207 - Prealgebra

Question

In the following exercises, translate and simplify. Seventy more than thirty-five

Step-by-Step Solution

Answer

105

Step 1: Identify the Numbers

The exercise involves two numbers: seventy (70) and thirty-five (35).

Step 2: Understand the Operation

The phrase 'more than' indicates addition. So, you need to add seventy and thirty-five.

Step 3: Set Up the Equation

Translate the words into a mathematical equation: \(70 + 35\).

Step 4: Perform the Addition

Now add the numbers: \(70 + 35 = 105\).

Key Concepts

Basic Arithmetic

Basic arithmetic lays the foundation for more advanced math. It includes operations like addition, subtraction, multiplication, and division.

In this exercise, we'll focus on addition, which combines numbers to find their total.

Think of basic arithmetic as the building blocks of math. If you get comfortable with these operations, you'll find future math topics much easier! For example, when you see the phrase 'seventy more than thirty-five,' you should immediately think about combining these two numbers through addition.

Translating Words to Equations

In math, translating words into equations is a crucial skill. It involves converting a word problem into a mathematical statement.

For example, the phrase 'seventy more than thirty-five' tells us something specific. The words 'more than' in math usually mean addition.

So, 'seventy more than thirty-five' translates to: 70 + 35.

This step is essential because it turns a word problem into a form we can solve with math operations.

Simplifying Expressions

Simplifying expressions means making them as simple as possible. In this exercise, our expression is 70 + 35. Simplifying this means finding the sum of these numbers.

Once you have your equation, 70 + 35, the next step is to perform the calculation.

By adding 70 and 35 together, we get 105.

This is the simplest form of the expression, making it easy to understand and use in further math problems.

Addition Operations

Addition is one of the basic arithmetic operations. It's used to combine numbers and find their total.

Here's a quick way to visualize it: Imagine you have 70 apples, and you get 35 more apples. To find out how many apples you have in total, you add the two numbers together: 70 + 35.

Adding 70 and 35 follows simple steps:

• Start with the ones place: 0 + 5 = 5
• Move to the tens place: 7 + 3 = 10

Combine these results to get 105.

By understanding and practicing addition, you'll get faster and more accurate at it, building a solid base for more complex math concepts.