Problem 68 - Prealgebra

Question

In the following exercises, model the addition. $$5 + 9$$

Step-by-Step Solution

Answer

14

Step 1: Identify the Numbers

We need to add the numbers 5 and 9 together.

Step 2: Set Up the Addition

Write the addition equation: \(5 + 9\).

Step 3: Perform the Addition

Calculate the sum of 5 and 9. Start with the number 5 and count up 9 more.

Step 4: Verify the Sum

Ensure the computing correctness by adding again if necessary. The sum of 5 and 9 is 14.

Key Concepts

basic arithmetic

Basic arithmetic is the foundation of all math. It includes operations like addition, subtraction, multiplication, and division.
Addition, in particular, means combining two or more numbers to get a total. This is often the first operation that students learn. Understanding this allows us to perform more complex math later on.
In our example, we are adding 5 and 9 to find the total. This is a crucial skill for everyday math tasks. For instance, if you have 5 apples and you buy 9 more, you will have a total of 14 apples. So, mastering basic arithmetic helps us handle real-life situations effectively.

addition modeling

Addition modeling helps us visualize the process of combining numbers. It is a vital tool in understanding how addition works.
Let's break it down:

• First, we identify the numbers we need to add - in this case, 5 and 9.


• Next, we set up the addition equation in the form of 5 + 9.

To model this addition, we can use objects like counters, number lines, or even our fingers.
This hands-on approach makes abstract numbers more concrete.
For example, if you wanted to use a number line, you would start at 5 and count 9 steps forward. Doing so helps us see how the numbers combine to make 14. Addition modeling not only aids in understanding but also boosts our confidence in solving arithmetic problems.

step-by-step math solutions

A step-by-step approach is one of the best ways to solve math problems. It ensures we don't miss anything important. Let’s walk through the steps to solve 5 + 9:

• Step 1: Identify the Numbers
  Acknowledge the two numbers you need to add: 5 and 9.


• Step 2: Set Up the Addition
  Write down the addition equation: 5 + 9.


• Step 3: Perform the Addition
  Count up from 5 by 9 steps to get the sum.


• Step 4: Verify the Sum
  Double-check your work to ensure it is correct. Here, the sum of 5 and 9 is 14.

This method is very effective in solving math problems, especially for beginners. It helps in breaking down complex problems into manageable parts. Remember, practicing these steps will make you more comfortable and faster at solving addition problems.