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Chapter 1: Problem 11

In the following exercises, name each number using words. $$ 364,510 $$

Short Answer

Expert verified
Three hundred sixty-four thousand five hundred ten.

Step by step solution

01

Identify the thousands and hundreds

First, recognize that the number 364,510 is broken into two main parts: the thousands and the hundreds. Specifically, the number can be read as three hundred sixty-four thousand and five hundred ten.
02

Read the thousands part

Read the digits in the thousands place. The number 364 is read as 'three hundred sixty-four.' Now combine this with 'thousand' to get 'three hundred sixty-four thousand'.
03

Read the hundreds and tens part

Next, read the digits in the hundreds and tens place. The number 510 is read as 'five hundred ten.'
04

Combine both parts

Finally, combine the two parts together to read the full number. 'Three hundred sixty-four thousand' and 'five hundred ten' make 'three hundred sixty-four thousand five hundred ten'.

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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 crucial for reading large numbers.
It helps us recognize the value of each digit in a number based on its position. For example, in the number 364,510:
  • The digit 3 is in the hundred-thousands place, making it worth 300,000.
  • The digit 6 is in the ten-thousands place, making it worth 60,000.
  • The digit 4 is in the thousands place, making it worth 4,000.
  • The digit 5 is in the hundreds place, making it worth 500.
  • The digit 1 is in the tens place, making it worth 10.
By recognizing these positions, you can easily break down and understand the total value of the number.
number reading
Reading large numbers might seem complicated at first, but it becomes simple with practice.
Let's break down the number 364,510 for better understanding:
  • First, read the group of digits in the thousands place. For 364, you would say 'three hundred sixty-four'.
  • Next, add the word 'thousand' after it, making it 'three hundred sixty-four thousand'.
  • Then, move on to the remaining part of the number. For 510, you would say 'five hundred ten'.
Combining these parts, you get 'three hundred sixty-four thousand five hundred ten'.
This step-by-step approach ensures that you correctly articulate the number.
notation of large numbers
The notation of large numbers can be made simpler with proper segmentation.
Breaking down the number into manageable parts helps in understanding and reading them correctly. For the number 364,510:
  • Identify the separation between thousands and the rest of the number. Here, 364 separates from 510 by a comma.
  • Always read the digits before the comma as one part: 'three hundred sixty-four'.
  • Then, read the digits after the comma as the second part: 'five hundred ten'.
By following this notation, you simplify the reading process and avoid common errors.
Practice is key to mastering the notation of large numbers.

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