Problem 2 - Elementary Algebra

Question

Write each expression in words. $$ 7+(-4) $$

Step-by-Step Solution

Answer

Question: Convert the mathematical expression "7 + (-4)" into a written phrase. Answer: Seven plus negative four.

Step 1: Identify the numbers and operation

In the given expression, we have two numbers, 7 and -4, and one operation, which is addition.

Step 2: Express the numbers in words

Express the number 7 in words as "seven" and the number -4 as "negative four."

Step 3: Express the operation in words

Express the addition operation in words as "plus."

Step 4: Write the expression in words

Combine the numbers and the operation in words to create the written expression: "seven plus negative four."

Key Concepts

Addition

Addition is one of the four fundamental arithmetic operations. It involves combining two or more numbers to find their sum. Think of it as putting things together to know how many you have in total. The symbol for addition is the plus sign, "+". When you add two numbers, the order does not affect the sum, making it a commutative operation. This means that 3 plus 5 gives the same result as 5 plus 3.
Addition is used extensively in everyday life. Whether you're adding up your shopping bill, calculating scores in a game, or figuring out how much time you need for your daily schedule, addition is your go-to operation.

• The numbers being added are called addends.
• The result of the addition is called the sum.

Mastering addition helps build a foundation for learning more complex mathematical concepts like multiplication, algebra, and calculus.

Negative Numbers

Negative numbers represent values less than zero. They are usually indicated by a minus sign "-" in front of the number. Understanding negative numbers is important because they show up in various real-world scenarios, like temperature, elevations below sea level, and debts or losses.
Negative numbers have unique properties. For example, adding a negative number is like subtracting its absolute value. When you add -4 to 7, you are essentially reducing 7 by 4, or performing the calculation 7 - 4, which equals 3.

• Negative numbers are less than zero.
• They are represented by the "-" sign.
• Adding a negative number decreases the total.

Learning to work with negative numbers is essential for tackling various math topics such as algebra and calculus.

Word Problems

Word problems in mathematics use real-life situations to describe a mathematical scenario. Solving them involves translating those scenarios into mathematical expressions or equations. This process begins with reading the word problem carefully and identifying key numbers and operations.
Let's explore a simple word problem analogy: Imagine you have $7 in your wallet, but you owe a friend $4. This situation can be expressed using the arithmetic expression 7 + (-4). In words, you would describe it as "seven plus negative four."
Word problems help improve problem-solving skills by:

• Enhancing comprehension and reading skills.
• Encouraging logical thinking and reasoning.
• Giving real-world context to mathematical concepts.

Practice is key to becoming proficient in solving word problems. As you advance, these skills will become increasingly helpful in both academic settings and daily life scenarios.