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Chapter 6: Problem 25

Write each decimal fraction. Two millionths.

Short Answer

Expert verified
Two millionths as a decimal is 0.000002.

Step by step solution

01

Understanding the Term 'Millionths'

The term 'millionths' refers to a fractional part. Specifically, one millionth is 1 part out of 1,000,000 parts. When writing in decimal form, one millionth is written as 0.000001.
02

Writing Two Millionths in Decimal Form

To write 'two millionths' in decimal form, you need to represent two of these millionths parts. For this, you place the number 2 in the millionths position, which is six places to the right of the decimal point. This means 'two millionths' is written as 0.000002.

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Key Concepts

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

Decimal Place Value
When dealing with decimals, understanding decimal place value is crucial. Each digit in a decimal number is positioned based on its relative place to the decimal point. This position determines the value each digit contributes to the number.
Starting immediately right of the decimal point, the first digit is in the tenths place, followed by hundredths, thousandths, and so on. For the example of "millionths," which involves placing six digits to the right of the decimal point, if you have the number 0.000002, the digit '2' is in the millionths place.
  • 0.1 - Tenths place
  • 0.01 - Hundredths place
  • 0.001 - Thousandths place
  • 0.000001 - Millionths place
Recognizing each place value helps in accurately interpreting and converting between decimals and other numerical forms.
Converting Fractions to Decimals
Converting simple fractions to decimals can help you better grasp numerical values. In this context, fractions like 'millionths' demonstrate how fractions can have corresponding decimal forms. To convert a fraction to a decimal, divide the numerator by the denominator. For instance:
- Converting 1/10 involves dividing 1 by 10, resulting in 0.1.
- Similarly, 1/1000 becomes 0.001 after division.
Applying this to millionths, the fraction 1/1,000,000 converts to 0.000001 after dividing, reflecting its decimal form precisely. Hence, similarly, 2/1,000,000 converts to 0.000002. This method clarifies how fractional pieces relate to decimal representations.
Understanding Decimals
Decimals help express values that are not whole numbers, representing them using a point and numbers following it. Each number after the decimal point signifies a fraction of a base ten unit, such as tenths or thousandths. This makes decimals a convenient way to show small precise values.
For example, when we talk about two millionths, the decimal 0.000002 shows two parts of one million total parts. This is helpful in many practical applications, like understanding scientific measurements or financial figures. Moreover, practicing with examples like converting 'two millionths' to decimals enhances ease in interpreting and utilizing decimals in various scenarios.

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Most popular questions from this chapter

Write eighty-one and twelve hundredths using digits. 81.12

Write three thousand seventeen millionths using digits.

Perform each operation and simplify. \(57.51 \div 2.7\)

Perform each operation. $$ 19.375 \div\left(4.375-1 \frac{1}{16}\right) $$

Perform each operation and simplify. $$ 10.000 \cdot 0.14 $$
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