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Chapter 1: Problem 39

Write each of the following numbers in words. $$40$$

Short Answer

Expert verified
The number 40 is written as 'forty' in words.

Step by step solution

01

Identifying Place Values

The number given is 40, which is composed of two digits: 4 and 0. In the place value system, the digit 4 is in the tens place, and the digit 0 is in the units place.
02

Writing Each Digit in Words

Convert each digit based on its place value to its corresponding word. The number 4 in the tens place is 'forty'. The digit 0 in the units place is not named when forming two-digit numbers except for 'ten'.
03

Combining the Words

Since 40 is a round number (a multiple of 10), and there are no units to mention, the tens word 'forty' fully describes the number. Thus, the number 40 in words is simply 'forty'.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Place Value
Understanding place value is key when translating numbers into words. Place value refers to the value of a digit based on its position in a number. In our number system, each position of a digit represents a power of 10.
For example, in the number 40, we have two digits - 4 and 0. The first digit from the right represents the number of units, and the second digit represents the number of tens.
  • The digit 4 is in the 'tens' position, meaning it represents four tens or 40.
  • The digit 0 is in the 'units' position, typically not named unless in numbers like "ten" or "twenty."
Mastering place value helps in understanding how numbers are built and named in their simplest form.
Two-Digit Numbers
Two-digit numbers consist of two numerals joined together. Numbers ranging from 10 to 99 belong to this category.
Each number can be broken down into tens and units based on their place values. For instance, in the number 40:
  • The first digit from the left is 4, which is in the tens position.
  • The second digit is 0, located in the units position, usually not spoken when naming round numbers.
When writing two-digit numbers in words, always start from the higher place value to the lower one. Thus, 40 becomes simply 'forty'. The clarity in naming two-digit numbers largely depends on recognizing the significance of each digit's position.
Round Numbers
Round numbers are special because they end in zero, making them a whole multiple of 10. This characteristic renders them straightforward in terms of naming.
For example, 10, 20, 30, and 40 are round numbers, due to their ends with zero in the units place, indicating full tens.
When dealing with round numbers, only the name of the non-zero digit in the tens place needs to be mentioned.
In the example of 40:
  • 4 in the tens position means "four tens" leading us to the name 'forty'.
  • The zero in the units place is silent since it adds no extra value beyond tens.
Understanding round numbers simplifies the process of writing numbers in words and highlights the importance of place value in numerical literacy.

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Most popular questions from this chapter

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