Problem 208 - Prealgebra

Question

In the following exercises, translate and simplify. Sixty more than ninety-three

Step-by-Step Solution

Answer

153

Step 1: Understand the Problem

The problem states 'Sixty more than ninety-three'. This means adding sixty to ninety-three.

Step 2: Translate to a Mathematical Expression

Translate 'Sixty more than ninety-three' to a mathematical expression: 93 + 60

Step 3: Simplify the Expression

Now, add the two numbers together: 93 + 60 = 153

Key Concepts

mathematical expression

A mathematical expression is a combination of numbers, variables (like x or y), and operations (like addition, subtraction, multiplication, and division) that represents a value. To solve problems in prealgebra, it is essential to translate everyday language into these expressions.
For example, the phrase 'Sixty more than ninety-three' translates to the expression \( 93 + 60 \. \) To make this translation:

• Identify numbers mentioned: 60 and 93.
• Identify operations (like 'more than' which means addition).
• Combine them appropriately: 93 + 60.

addition

Addition is one of the basic operations in mathematics. It combines two numbers into a single sum. In the example, we have \( 93 + 60 \).
Here’s a refresher on how to add:

• Align the numbers by their place values (ones, tens, hundreds).
• Start from the rightmost digits (ones place) and move left.
• Add digits in the same place value, carrying over if necessary.

Adding 93 and 60, we get:

• 3 (ones) + 0 (ones) = 3 (ones)
• 9 (tens) + 6 (tens) = 15 (tens)

Since 15 tens is the same as 150, this gives us a total of 153.

simplifying expressions

Simplifying expressions means reducing them to their simplest form. This can involve combining like terms, performing arithmetic operations, or both. In our example, simplifying the expression \( 93 + 60 \) involves straightforward addition:

• First, identify the terms: 93 and 60.
• Then, perform the addition operation, since no further simplification is required.

Hence, \( 93 + 60 \) simplifies to \( 153 \), which is as simple as the expression can get.
Learning to simplify expressions efficiently helps solve more complex equations in the future.