Problem 9 - Fundamentals of Mathematics

Question

For the following problems, write all numbers in words. $$84$$

Step-by-Step Solution

Answer

Eighty-four.

Step 1: Identify Place Values

The number 84 has two digits. The digit '8' is in the tens place, and the digit '4' is in the ones place.

Step 2: Translate Tens Place

The digit '8' in the tens place corresponds to 'eighty' because it represents 80.

Step 3: Translate Ones Place

The digit '4' in the ones place corresponds to 'four'.

Step 4: Combine Both Parts

Combine the words from the tens and ones places to form 'eighty-four.'

Key Concepts

Place Value

Understanding place value is essential when working with numbers, especially when translating them into words. In any given number, each digit holds a specific place or position, which determines its value. For example, in the number 84:

• The digit '8' is in the 'tens' position. This means it represents eight tens, or eighty (80).
• The digit '4' is in the 'ones' position. This means it represents four ones, or simply four (4).

Place value helps us understand not just what each digit is, but its role in the overall value of the number. This concept is crucial when you need to express the number in different forms or operations, such as addition or multiplication. With place value, you can easily convert numbers into words, ensuring clarity and accuracy.

Tens and Ones

The terms 'tens' and 'ones' are fundamental components when talking about numbers less than 100. These terms describe the position and value of digits in a two-digit number:

• Tens: This is the second digit from the right. It tells us how many sets of ten are in the number.
• Ones: This is the rightmost digit. It tells us how many single units or "ones" are in the number.

For the number 84, understanding the tens and ones places is simple:

• The '8' in the tens place indicates eight tens, or eighty.
• The '4' in the ones place indicates four ones, or simply four.

Grasping this concept is key to performing operations like addition, subtraction, and writing numbers in words. It forms the basis for understanding more complex mathematical concepts.

Writing Numbers in Words

Translating numbers into words is a skill that combines the understanding of place value and the tens and ones digits. To convert a number like 84 into words, follow these steps:

• First, identify the tens digit. Here, it's '8', which corresponds to 'eighty'.
• Next, identify the ones digit. Here, it's '4', which corresponds to 'four'.
• Combine the words for tens and ones to form the complete number in words: 'eighty-four'.

Remember, when writing numbers in words, consistency in method is vital for clarity. Understanding this process helps not only in mathematics but also in real-life scenarios like writing checks, formal documents, and more. Mastery of this skill ensures precision and prevents misinterpretation of numerical data.