Problem 16 - Fundamentals of Mathematics

Question

For the following problems, perform the additions. If you can, check each sum with a calculator. $$46+2$$

Step-by-Step Solution

Answer

The sum of 46 and 2 is 48.

Step 1: Identify the numbers

The numbers to be added are 46 and 2. We need to find the total by adding these two numbers.

Step 2: Add the numbers

Perform the addition of the two numbers:\(46 + 2 = 48\). This can be done by simply counting two numbers higher than 46.

Step 3: Verify the result with a calculator

Use a calculator to check your addition. Enter '46', use the add function '+', then enter '2', and press equals '='. The calculator should display 48, confirming our manual calculation.

Key Concepts

Understanding Addition

Addition is one of the basic arithmetic operations we use daily. It helps us determine the total value when combining two or more numbers. In the case of our exercise, the numbers used were 46 and 2. To "add" these numbers simply means to find their total sum.
Imagine if you have 46 apples and you add 2 more apples; you will have a total of 48 apples. When adding smaller numbers, you can often do this in your head by incrementing the value of one number by the other.

• Start with the largest number (46) and increase its value by the smaller number (2).
• By counting, you move up two steps from 46 to reach 48.

The result is called a "sum." In this context, the sum of 46 and 2 is 48.

Using Calculator Verification

To ensure our addition is correctly done, we often verify it with a calculator. Calculators are reliable tools that can quickly perform arithmetic operations.
When using a calculator to verify an addition problem, like 46 + 2, follow these steps:

• First, turn on the calculator.
• Enter the first number of your addition problem, which is 46 in this case.

You will then press the '+' button, indicating that you are performing an addition.

• Next, enter the second number, 2. Then press the '=' button.
• The calculator should display '48', which confirms the manual calculation you performed earlier.

This method is particularly useful when verifying calculations with larger or more complex numbers, ensuring your results are accurate.

Basics of Number Operations

Number operations are fundamental mathematical processes that involve basic arithmetic such as addition, subtraction, multiplication, and division. They form the foundation of most mathematical calculations.
Addition, as discussed, is used to combine numbers to find their total. Here we see it as a part of our number operations repertoire.

• Subtraction withdraws or removes a number from another.
• Multiplication involves repeated addition of a number a certain number of times.

Division, on the other hand, is splitting a number into equal parts.
These operations enable us to solve not only simple problems but also complex equations. Mastering number operations equip you with the tools needed to tackle various mathematical challenges, making math seamless and often enjoyable once understood fully.