Problem 225 - Prealgebra

Question

In the following exercises, translate from math notation to words. $$4 \times 7$$

Step-by-Step Solution

Answer

'4 × 7' translates to 'four times seven'.

Step 1: Identify Symbols

Recognize the symbols in the expression. The expression contains the numbers 4 and 7, and the multiplication symbol, represented by '×'.

Step 2: Interpret Multiplication

Understand that the multiplication symbol '×' signifies that you need to find the product of the two numbers.

Step 3: Translate to Words

Combine the identified elements into a sentence. '4 × 7' translates to 'four times seven' in words.

Key Concepts

Math Notation

Math notation is a system of symbols used to represent numbers, operations, relationships, and other mathematical concepts. The symbols make writing and solving mathematical expressions efficient and universal.
In the expression given, '4 × 7', we see numbers and an operation symbol represented. These notations are universally understood and have specific meanings:

• The number '4' is an integer.
• The number '7' is also an integer.
• The '×' symbol indicates multiplication.

It’s important to recognize and understand these symbols before translating or solving any mathematical expression.

Multiplication

Multiplication is one of the basic arithmetic operations in mathematics. It’s essentially repeated addition. For instance, '4 × 7' means adding the number 4 together seven times:
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4 + 4 + 4 + 4 + 4 + 4 + 4

This operation can also be understood through real-life examples, such as having 4 apples in 7 baskets. Multiplication helps us quickly determine the total number of apples, which would be 28.
To solve multiplication problems, you can use various strategies like:

• Times tables
• Arrays
• Repeated addition

Product

The result of multiplying two numbers is called the 'product'. In the given exercise, we are multiplying 4 and 7. The operation is translated in words as 'four times seven'. The product of 4 and 7 can be calculated as:
4 × 7 = 28.
Here's a breakdown:

• The first number (4) is the multiplicand.
• The second number (7) is the multiplier.
• The result (28) is the product.

Understanding the concept of a product is crucial since it applies to various fields in mathematics and everyday scenarios. It's a fundamental concept that appears frequently in tasks involving scaling, area calculation, and much more.