Problem 608 - Prealgebra

Question

Translate each phrase to math notation and then simplify. 29 more than 32

Step-by-Step Solution

Answer

The simplified answer is 61.

Step 1: Understand the Phrase

The phrase provided is '29 more than 32'. This means we need to add 29 to 32.

Step 2: Translate to Math Notation

Translate the phrase to a mathematical expression: 29 more than 32 can be written as 32 + 29.

Step 3: Perform the Addition

Now, perform the addition: 32 + 29 = 61

Step 4: Write the Simplified Answer

The simplified result of the phrase '29 more than 32' is 61.

Key Concepts

Addition

Addition is one of the basic arithmetic operations in math. It involves combining two or more numbers to get a total sum. When we see a phrase like '29 more than 32', it signals that we need to use addition. The word 'more' in math often means adding. Here are some key points about addition in math:

• The numbers being added together are called 'addends'.
• The result of adding the numbers together is called the 'sum'.

When adding numbers:

• Ensure you line up the digits correctly, especially when dealing with larger numbers.
• Start adding from the rightmost digit (the ones place) and move to the left.

For example, in the exercise, adding 32 and 29 involves:

• Adding 2 (from 32) and 9 (from 29) to get 11. We write down 1 and carry over 1 to the next column.
• Then adding 3 (from 32), 2 (from 29), and the carried-over 1 to get 6.

Therefore, 32 + 29 = 61.

Math Notation

Math notation is a standardized way of writing mathematical concepts and operations. It helps to make communication of math ideas concise and clear. Here’s how to understand and use math notation effectively:

• Numbers: Represent quantities. Examples include 32 and 29.
• Operators: Symbols that represent operations. The plus sign (+) indicates addition.

In the phrase '29 more than 32', we use math notation to represent it as:
32 + 29
This tells us to add 32 and 29 together. Math notation makes it simpler to perform and understand operations, especially for complex calculations. Always ensure you properly translate verbal expressions into math notation to avoid mistakes.

Simplification

Simplification in math means reducing an expression to its simplest form. This involves performing all the operations to get a single, most basic result. In our exercise, we simplified the phrase '29 more than 32' by:

• Translating it to math notation as 32 + 29.
• Performing the addition to get 61.

The result, 61, is the simplified form of the original phrase. Simplification helps make math results easier to understand and use. When you simplify expressions:

• Follow the order of operations: for addition and subtraction, work from left to right.
• Double-check your work to ensure accuracy.

Simplification is crucial for making complex phrases or expressions manageable and clear.