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Chapter 1: Problem 43

Write each number in standard notation. Thirty million, one hundred three

Short Answer

Expert verified
30,000,103

Step by step solution

01

Understand the Place Values

Identify the place values for each part of the number. Here, we're dealing with 'Thirty million' and 'one hundred three'.
02

Convert Each Part

Convert 'Thirty million' to numerical form. 'Thirty million' means 30,000,000. For 'one hundred three', write it as 103.
03

Combine the Parts

Since there is no missing value between millions and hundreds, combine the two parts directly. Place 103 directly after 30,000,000, resulting in 30,000,103.

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Key Concepts

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

Place Value
Place value is fundamental in understanding how numbers work. It helps you to determine the value of a digit based on its position in a number. For example, in the number 543, the digit 5 is in the hundreds place, so its value is 500.

To break it down:
  • Units place (1s)
  • Tens place (10s)
  • Hundreds place (100s)
  • Thousands place (1,000s)
  • Millions place (1,000,000s)
In the given exercise, 'Thirty million' is written as 30,000,000 because 30 is in the millions place. Similarly, 'one hundred three' is 103, where 1 is in the hundreds place, and the 3 in the units place.

Remember:
  • Each position to the left increases the place value by a factor of 10.
  • Zeros hold the place values for digits with no significant value in that position.
Number Conversion
Number conversion is the process of translating numbers from one form to another, like word form to standard notation.

In this exercise, we convert 'Thirty million' to 30,000,000. To do this:
  • 'Thirty' is 30.
  • 'Million' means six zeros following the number.
Similarly, 'one hundred three' converts to 103:
  • 'One hundred' is 100.
  • 'Three' is 3.
Combining these parts directly results in 30,000,103 without any change in place values.
Mathematical Notation
Mathematical notation is the system used to write numbers and formulas in a clear and concise way.

Standard notation is a common form where numbers are written clearly as digits. For example, the word form 'thirty million, one hundred three' converts into the clear and readable number: 30,000,103.

Learning standard notation involves:
  • Recognizing place values.
  • Understanding how to combine parts of numbers.
  • Practicing the conversion between word and number form.
In essence, mathematical notation helps you organize and simplify complex numbers and expressions, ensuring they are easily understood and correctly interpreted.

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