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Chapter 1: Problem 466
Write as a whole number using digits.fifteen thousand, two hundred fifty-three
Short Answer
Expert verified
15253
Step by step solution
01
Understand Place Values
The number is given in words. Look at the different components and their place values: thousands, hundreds, tens, and ones.
02
Identify the Thousands Place
The term 'fifteen thousand' indicates that the number will have 15 in the thousands place. So, it contributes '15,000' to the overall number.
03
Identify the Hundreds Place
The term 'two hundred' indicates that the number has 2 in the hundreds place. Thus, it contributes '200' to the overall number.
04
Identify the Tens and Ones Places
The phrase 'fifty-three' indicates '53', where '5' is in the tens place and '3' is in the ones place.
05
Combine All Parts
Now, combine all the parts: '15,000' + '200' + '53' to form the whole number.
06
Write the Whole Number
Combining all the components, the whole number is 15253.
Key Concepts
These are the key concepts you need to understand to accurately answer the question.
place values
When writing numbers, place values play an essential role in understanding and structuring the number. The place value system in our number system assigns each digit in a number a specific position and value. For example, in the number 15,253:
- The digit '1' is in the ten-thousands place.
- The digit '5' is in the one-thousands place.
- The digit '2' is in the hundreds place.
- The digit '5' is in the tens place.
- The digit '3' is in the ones place.
Given a number in words, like 'fifteen thousand, two hundred fifty-three,' understanding these place values helps us demystify the number and figure out how it must be written.
writing numbers
To convert numbers from words to digits, follow a structured approach. Consider the example: 'fifteen thousand, two hundred fifty-three'. Start by identifying and breaking down each part of the number: 'fifteen thousand,' 'two hundred,' and 'fifty-three.' Each segment of the number corresponds to different place values. Once you recognize these segments, place the appropriate digits in their respective slots. For 'fifteen thousand', place '15' in the thousands position, creating '15,000'. Next, for 'two hundred,' place '2' in the hundreds place, giving us '200'. Finally, 'fifty-three' translates to '53' where '5' occupies the tens place and '3' the ones place. Combining all these parts results in 15,253.
number representation
Numbers can be represented in various ways, but the objective remains the same: accurately conveying the value. Understanding how to represent numbers correctly entails recognizing their forms and the significance behind each digit. Numbers given in words may seem verbose, but converting them to digit form simplifies and clarifies them. In our example, 'fifteen thousand, two hundred fifty-three' might first appear lengthy. But breaking it down: 'fifteen thousand' translates to '15,000', 'two hundred' translates to '200', and 'fifty-three' translates to '53'. Combining these parts achieves a precise numerical representation: 15,253. This method enhances comprehension and ensures numbers are represented accurately and efficiently.
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