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Chapter 1: Problem 35

Write each number in standard notation. Fifty thousand, three hundred twenty-four

Short Answer

Expert verified
50,324

Step by step solution

01

Identify the value of each word

Break down the number in words to identify the value of each component. 'Fifty thousand' means 50,000. 'Three hundred' means 300. 'Twenty-four' means 24.
02

Combine the values

Add the individual values identified in the previous step: 50,000 + 300 + 24.
03

Write in standard notation

Combine the values together to form the complete number in standard notation. 50,000 + 300 + 24 gives us 50,324.

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Key Concepts

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

Understanding Number Writing
Number writing is the way we represent numbers using words or digits. It can sometimes be tricky to convert between these forms, especially with larger numbers. This exercise helps us practice converting the written form鈥�**'Fifty thousand, three hundred twenty-four'**鈥攖o its standard digital form.

To do this, we need to break it down:
  • 鈥楩ifty thousand鈥� 鈥� signifies the tens of thousands place and represents 50,000.
  • 鈥楾hree hundred鈥� 鈥� points to the hundreds place and stands for 300.
  • 鈥楾wenty-four鈥� 鈥� covers the tens and units places, translating to 24.
By adding these values, we derive the final number: 50,000 + 300 + 24 = **50,324**.
The Importance of Place Value
Place value is a fundamental concept in math that determines the value of each digit in a number based on its position. For instance, in the exercise, **50,324**, each digit has a different place value:
  • The digit 5 is in the ten-thousands place, meaning it represents 50,000.
  • The digit 3 is in the hundreds place, meaning it represents 300.
  • The digits 2 and 4 are in the tens and ones places, representing 20 and 4, respectively.

Understanding place value makes it easier to convert between number forms and to perform arithmetic operations correctly. It tells us why 5,000 is much larger than 500 or 50.
Basic Arithmetic for Number Conversion
Basic arithmetic is crucial when converting written numbers to standard form. Arithmetic, including addition, helps us compute the final number by combining smaller parts.

Here鈥檚 how we approach our specific exercise:
  • First, we break down the written number into components: 50,000, 300, and 24.
  • Then, we perform simple addition: \[ 50,000 + 300 + 24 = 50,324 \]
This process not only gives us the final number but also reinforces the importance of understanding each part before combining them.

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Most popular questions from this chapter

A local television station plans to air the 177 episodes of the long-running comedy series Seinfeld. If the station airs 5 episodes per week, how many full weeks will pass before it must begin re-airing previously shown episodes? How many unaired episodes will be shown the following week before the previously aired episodes are rerun?

Round to the nearest ten. $$ 8945 $$

Solve. $$ 48,916 \cdot x=14,332,388 $$

Solve. Be sure to check. $$ 234 \cdot 78=y $$

Estimate each sum by first rounding to the nearest hundred. State if the given sum seems to be incorrect when compared to the estimate. $$ \begin{array}{r} 326 \\ 275 \\ 758 \\ +943 \\ \hline 2302 \end{array} $$
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