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Chapter 1: Problem 61

Write the number in standard form. nine thousand seven hundred six

Short Answer

Expert verified
The number 'nine thousand seven hundred six' written in standard form is 9706.

Step by step solution

01

Identify the Value of Each Word

The number 'nine thousand seven hundred six' consists of four words each representing a part of the final number. 'Nine thousand' or 9000, 'seven hundred' or 700, and 'six' or 6 need to be identified.
02

Combine the Numbers

Now combine the parts by adding them together: 9000 + 700 + 6.
03

Write the Result in Standard Form

The result is 9706, which is the number 'nine thousand seven hundred six' written in standard form.

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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 an important skill in math. It's like knowing where each digit's home is, in a number. Imagine a number like a block of apartments. Each digit lives in a specific apartment.
  • The ones place is the first apartment and is for single numbers from 0 to 9.
  • Next, the tens place is where numbers are ten times bigger than the ones.
  • Then, the hundreds place is ten times larger again, meaning each number is a hundred.
  • And finally, we have the thousands place, which is ten times the hundreds, or one thousand for each digit there.
Each place value is vital for understanding the number's size. In the exercise, "nine thousand seven hundred six," the digit 9 is in the thousands place, the 7 is in the hundreds, and the 6 is in the ones place. Understanding this can help you write numbers correctly without confusion.
Number Representation
Representing numbers in different ways can help us understand them better. The standard form is a simple and precise way of writing numbers. When you have a number written in words, like "nine thousand seven hundred six," representing it in standard form means writing it with digits: 9706.
  • This form is what we call 'standard' because it is universally used in mathematics.
  • It provides a clear and compact way to display numbers, without using extra words or symbols.
To convert a number from words to standard form, identify the place value of each part, and then combine them correctly using addition. Once you've done that, you write the whole thing as a number, like 9706 for the exercise given.
Addition
Addition is the way we bring numbers together, just like in our exercise. This math operation is essential when combining the parts of numbers expressed in words.
  • First, find each number from the words. In our example, we have 9000, 700, and 6.
  • Next, we add them together step by step.
  • 9000 plus 700 equals 9700. Then, adding 6 makes it 9706.
Addition helps us find the sum, the total of numbers put together. It's a fundamental operation crucial for many areas of math.

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Most popular questions from this chapter

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