Problem 198 - Prealgebra

Question

In the following exercises, translate and simplify. 47 less than 62

Step-by-Step Solution

Answer

15

Step 1 - Translate to a Mathematical Expression

The phrase '47 less than 62' can be translated into the mathematical expression: \(62 - 47\).

Step 2 - Simplify the Expression

Simplify the expression by performing the subtraction: \(62 - 47 = 15\).

Key Concepts

Translation of word problems

Word problems use everyday language to describe mathematical situations. Translating word problems involves converting these phrases into mathematical expressions. In our example, the phrase '47 less than 62' is key. The term 'less than' indicates subtraction. Therefore, '47 less than 62' becomes the math expression: \(62 - 47\). Without translating the words correctly, solving the problem accurately is difficult. Always look for keywords like 'more than', 'less than', 'times', and 'divided by' to understand the operations needed.

Subtraction

Subtraction means finding the difference between two numbers. In our example, we need to subtract 47 from 62. Performing the operation directly gives us: \(62 - 47 = 15\). Subtraction can also be understood by visualizing it with objects or a number line. Imagine starting at 62 on a number line and moving left 47 steps to find the result. Practice with different numbers to get comfortable with this operation.

Simplification of expressions

Simplifying expressions means performing all possible operations to reduce the expression to its simplest form. Here, our expression is \(62 - 47\). We perform the subtraction to get 15, which is the simplest form. Simplifying helps in understanding and solving more complex problems later. Always ensure to solve operations step-by-step to avoid mistakes. This way, larger expressions become manageable and easier to work with.