Question

Write fourteen million, three hundred two thousand, two in standard form.

Short answer

14,302,002

Step-by-step solution

Understand the Problem

The task is to convert the number given in words—fourteen million, three hundred two thousand, two—into standard numerical form.

Identify the Million Place

Begin by identifying and writing down the portion before the word 'million'. Fourteen million is written as 14,000,000.

Identify the Thousand Place

Next, identify the portion before the word 'thousand'. Three hundred two thousand is written as 302,000.

Identify the Units Place

Finally, identify the portion after 'thousand'. The number two is simply written as 2.

Combine the Parts

Combine the numbers from each step: 14,000,000 (million) + 302,000 (thousand) + 2 (units) to form the complete number: 14,302,002.

Key concepts

Understanding Number Words

Number words are the written form of numbers. For example, the phrase 'fourteen million, three hundred two thousand, two' spells out the number 14,302,002. Using number words can help us understand and communicate large numbers.
When working with number words:

• Begin by identifying each segment of the number
• Pay attention to what the words represent ('million,' 'thousand,' 'units')
• Write down each part separately before combining

Understanding number words is the first step to effectively and accurately converting them into standard form numbers.

Mastering Place Value

Place value refers to the value of each digit in a number based on its position. In the number 14,302,002, each digit has a value determined by its place:

• The first digit '1' is in the ten-million place and represents 10,000,000
• The second digit '4' is in the million place and represents 4,000,000
• The third digit '3' is in the hundred-thousand place and represents 300,000
• Each following digit also has its unique place value=
  • '0' in the ten-thousand place
  • '2' in the thousand place
  • '0' in the hundred place
  • '0' in the ten place
  • '2' in the one place

When combined, the individual place values help to form the complete number.
Understanding and mastering place value is essential for accurate numerical conversion and helps prevent common mistakes.

Numerical Conversion Made Easy

Numerical conversion involves changing numbers from one form to another, like turning number words into standard numerical form. Here's the step-by-step method to make the conversion:

• First, identify and write down each part of the number (million, thousand, units)
• Combine each identified part
• Ensure correct placement of digits according to their place value

For example, let's convert 'fourteen million, three hundred two thousand, two' into standard form:

• 'Fourteen million' becomes 14,000,000
• 'Three hundred two thousand' becomes 302,000
• 'Two' becomes 2
• Combine these parts: 14,000,000 + 302,000 + 2 = 14,302,002

Numerical conversion is crucial for practical applications like writing checks, handling money, and understanding large figures in science and statistics.