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Chapter 1: Problem 41

Write each number in standard notation. Forty million

Short Answer

Expert verified
40,000,000

Step by step solution

01

Understand the term

Interpret the term 'Forty million'. This term represents the number 40 followed by six zeros.
02

Convert to numeric form

Write the number 40 and then add six zeros to the right of it: 40,000,000.

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Key Concepts

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

Place Value
Place value helps us understand the value of each digit in a number based on its position. For instance, in the number 40,000,000, each zero has a specific place value.
This concept makes it easier to read and work with large numbers.
Here's a quick guide to the place values of a number:
  • The digits on the right are the 'ones', 'tens', 'hundreds', and so on.
  • The digits on the left represent higher values like 'thousands', 'millions', 'billions', etc.
  • Therefore, in 40,000,000, the 4 is in the ten millions place, meaning it represents 40 million, while the other digits (the zeros) fill in lower place values ensuring that the 4 retains its specific value.
Remembering place values helps you understand and write large numbers confidently.
Numeric Form
Numeric form is simply writing numbers using digits. It's a way to clearly and concisely represent values.
For example, when you hear 'forty million', you can write it in numeric form as 40,000,000.
This process involves translating the word form (how you say the number) to its mathematical representation.
Here's how the conversion process works for large numbers:
  • First, determine the base number 鈥� in this case, 'forty' translates to 40.
  • Next, recognize the magnitude of the number. 'Million' means the base number is followed by six zeros.
  • Combine these elements to get the numeric form: 40 + 000,000 = 40,000,000.
Writing numbers in numeric form is essential for mathematical operations and scientific notation.
Large Numbers
Large numbers like 'forty million' can be intimidating at first glance. But breaking them down into smaller parts makes them manageable.
Here鈥檚 a step-by-step example with large numbers:
  • 'Forty million' is written as 40,000,000. It's basically 40 followed by six zeros.
  • To simplify, imagine splitting the number into smaller, more familiar chunks like thousands (40,000) and then grouping them (40,000 * 1,000 = 40,000,000).
Learning how to handle large numbers involves understanding their structure and place values. This knowledge makes it easier to perform calculations and apply these numbers in various real-world contexts. For instance, population counts, national budgets, and distances in space often involve large numbers.

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Most popular questions from this chapter

Round to the nearest ten. $$ 463 $$

Estimate each sum or difference by first rounding to the nearest ten. Show your work. $$ \begin{array}{r} 673 \\ -\quad 28 \\ \hline \end{array} $$

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Divide. $$ 389 \div 2 $$

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