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Chapter 1: Problem 64

Write the number in standard form. three million four thousand eight

Short Answer

Expert verified
The standard form of the number 'three million four thousand eight' is 3,004,008.

Step by step solution

01

Identify the values of each group

First, look at the words given and identify their numerical values. Here we have 'three million', 'four thousand' and 'eight'. These correspond to 3,000,000, 4,000 and 8 respectively.
02

Combine the identified values

Next, add the numerical values you have identified. Simply line them up by place value, like so: 3,000,000, 4,000 and 8. When we add these three values together, we will get the final standard form of the number.
03

Add the values to get the final result

Adding the values we previously identified (3,000,000 + 4,000 + 8) we get 3,004,008.

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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 essential when dealing with numbers, especially large ones. Place value tells us the value of a digit based on its position in a number. For example, in the number 3,004,008:
  • The "3" is in the millions place, meaning it represents 3 million.
  • The next "4" is in the thousands place, equating to 4 thousand.
  • The "8" is in the units place, representing simply 8.
By breaking down numbers into their individual place values, we simplify the process of understanding and working with large numbers. Each digit has its particular place, so it's important to align them properly when performing operations like addition.
Numerical Values
Numerical values are the specific amounts that words and digits represent. When numbers are written in words, such as "three million four thousand eight," each term corresponds to a numerical value like:
  • 'Three million' becomes 3,000,000,
  • 'Four thousand' turns into 4,000, and
  • 'Eight' simply remains 8.
Understanding these conversions is crucial because it allows us to accurately work with numbers in different formats. When converting worded numbers into figures, identifying these individual numerical values is the first crucial step.
Addition
Addition is a mathematical operation we use to find the total of two or more numbers. When adding large numbers, it's helpful to write each number by stacking them top to bottom, aligning them according to their place value. For example:
  • 3,000,000
  • + 4,000
  • + 8
It's important to perform the addition starting from the rightmost digit or the smallest place value, carrying over as needed. This ensures accuracy when summing up the parts. In our exercise, adding the numbers gives the result 3,004,008.
Large Numbers
Working with large numbers can seem daunting, but understanding key concepts like place value and numerical values helps. Large numbers such as 3,004,008 can be broken down into more digestible parts:
  • The "3" represents a significant million value.
  • The "4" in thousands ensures we know it's part of a larger thousand value.
  • Small numbers, like "8," play an equally important role, ensuring precision.
Breaking numbers into smaller parts or using commas to differentiate thousands, millions, etc., makes them easier to read and understand. Properly handling large numbers is crucial in both everyday math and advanced calculations.

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