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Chapter 1: Problem 40

Write each number in standard notation. Seven hundred million

Short Answer

Expert verified
700,000,000

Step by step solution

01

- Understand the given number

The number provided is written in words: 'seven hundred million'.
02

- Identify the place values

'Seven hundred million' means there are 7 units in the hundred million place. The number is in the form of hundreds of millions.
03

- Construct the number using place values

For 'seven hundred million', you start with 7 and follow it with eight zeros. This is because 'million' has six zeros and with three more zeros for the hundreds, making a total of eight zeros.
04

- Write the number in standard notation

Combine the digit 7 with the eight zeros. The result is: 700,000,000.

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Key Concepts

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

Place Value
Place value is a fundamental concept in mathematics. It refers to the value of a digit depending on its position in a number. For example, in the number 123, the digit 1 is in the hundreds place, so its value is one hundred.
Every position in a number has a different place value, starting from ones, tens, hundreds, thousands, and so on. For example:
  • The rightmost digit is in the ones place.
  • The next digit to the left is in the tens place.
  • The next digit to the left is in the hundreds place.

Understanding place value helps in comprehending larger numbers and performs various arithmetic operations effectively.
Writing Numbers in Standard Form
Writing numbers in standard form means expressing them in numerical digits rather than words. Understanding how place value works is crucial for this.
To write 'seven hundred million' in standard notation, follow these steps:
  • Identify the primary number and place value 鈥� here it is 7 in the hundred million place.
  • A million has six zeros, so a hundred million will have two more zeros, totaling eight zeros.
  • Combine the digit 7 with these eight zeros.

So, 'seven hundred million' in standard form is written as 700,000,000.
This method helps in quickly converting worded numbers into numerical format, which is useful for calculations and data representation.
Mathematics Education
Mathematics education focuses on providing students with a strong foundation in various mathematical concepts. Place value and writing numbers in standard form are essential aspects of foundational math skills.
These concepts assist students in understanding large numbers, performing arithmetic operations, and solving real-world problems.
Teaching place value involves using visual aids like place value charts and blocks. This method helps students see how digits shift in value based on their position.
  • Begin with simpler exercises, such as recognizing place values in smaller numbers.
  • Gradually introduce larger numbers and standard notation.

Reinforcement and plenty of practice enable students to master these skills and build confidence in their mathematical abilities.

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