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Chapter 2: Problem 22

Convert to decimal notation. $$ 0.38 $$

Short Answer

Expert verified
0.38 is already in decimal notation.

Step by step solution

01

- Understand Decimal Notation

Decimal notation refers to the standard way of writing numbers that includes a decimal point. The digits to the right of the decimal point represent fractions of ten.
02

- Identify the Given Decimal Number

The number given is already in decimal form: 0.38
03

- Interpret the Decimal Places

The number 0.38 means that we have 3 tenths (0.3) and 8 hundredths (0.08).
04

- Write the Decimal Number

Therefore, the decimal notation for 0.38 remains 0.38 as it is already in its standard form.

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Key Concepts

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

decimal places
Decimal places refer to the positions of numbers to the right of the decimal point. These positions represent fractions of ten. For example, in the number 0.38:
  • The 3 is in the tenths place, meaning 3 tenths (0.3).
  • The 8 is in the hundredths place, representing 8 hundredths (0.08).
Understanding decimal places is crucial because it helps us interpret and write decimal numbers correctly. Each subsequent position to the right of the decimal point represents a smaller fraction, making our numerical representation more precise.
fractions of ten
Fractions of ten are closely related to decimal places. Each digit in a decimal number represents a fraction of ten. Here鈥檚 how it works:
  • Tenths place: Represented by the first digit to the right of the decimal point. For example, 0.1 means 1 tenth.
  • Hundredths place: Represented by the second digit to the right of the decimal point. For example, 0.01 means 1 hundredth.
These fractions are essential for expressing values that are smaller than one. By understanding how fractions of ten work, we can easily convert between decimal and fraction notations. For instance, 0.38 can be expressed as 38/100.
standard form
Standard form is the way we usually write numbers, including decimals. In standard form, we always place the decimal point correctly to indicate the value of each digit. For instance, the number 0.38:
  • The digit 3 is in the tenths place, contributing 0.3 to the total value.
  • The digit 8 is in the hundredths place, adding 0.08 to the total value.
Writing numbers in standard form helps avoid confusion and ensures that everyone understands their value. It鈥檚 a common method used in everyday life, science, and mathematics. When converting numbers, always ensure they are in their simplest form for clarity and precision.

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Most popular questions from this chapter

To prepare for Section 2.5, review translating to algebraic expressions and equations. Translate to an algebraic expression or equation. It has been determined that at the age of \(15,\) a boy has reached \(96.1 \%\) of his final adult height. Jaraan is \(6 \mathrm{ft} 4\) in. at the age of \(15 .\) What will his final adult height be?

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