Problem 197 - Prealgebra

Question

In the following exercises, translate and simplify. 38 less than 61

Step-by-Step Solution

Answer

23

Step 1: Understand the Problem

Identify the numerical expression required. The phrase '38 less than 61' means 38 subtracted from 61.

Step 2: Set Up the Expression

Translate the phrase into a mathematical expression: 61 - 38

Step 3: Simplify the Expression

Subtract 38 from 61. Perform the calculation: 61 - 38 = 23

Step 4: State the Final Answer

The result of the subtraction is 23. So, 38 less than 61 simplifies to 23.

Key Concepts

Subtraction

Subtraction is a basic operation in arithmetic where we take away one number from another. In the exercise, '38 less than 61' means we need to subtract 38 from 61. When you see phrases like 'less than,' they usually signal a subtraction. Specifically, 'less than' tells us to reverse the order. First, start with 61 and take away 38. When you perform this, you'll simplify 61 - 38 to get the answer, which is 23.
Subtraction can also be visualized using objects or number lines, making it easier to understand.

Numerical Expressions

A numerical expression is a combination of numbers and operations without an equal sign. For example, in our exercise, '61 - 38' is a numerical expression. It involves numbers (61 and 38) and the operation of subtraction. These expressions are simplified by following basic arithmetic rules, such as performing subtractions or additions. Understanding how to translate verbal phrases like '38 less than 61' into these expressions helps make complex problems easier to solve.
To break it down further, it's all about finding the right operation and numbers, then performing the calculation accurately.

Prealgebra

Prealgebra is a foundation for understanding algebra and deals with basic arithmetic operations, working with numerical expressions, and solving simple equations. In our exercise, you performed a prealgebra task by translating a phrase into a numerical expression and simplifying it. You're using essential subtraction skills, which are critical in prealgebra. Mastering these basics sets the stage for more advanced topics in algebra. Prealgebra focuses on:

• Understanding basic operations (addition, subtraction, multiplication, division)
• Working with numerical expressions
• Developing problem-solving skills

This foundational knowledge makes future complex mathematical concepts easier to grasp.