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Chapter 5: Problem 20

Write each decimal number in standard form. Five and one tenth

Short Answer

Expert verified
5.1

Step by step solution

01

Understand the Decimal

The decimal number given in the exercise is "Five and one tenth." This can be written numerically as 5.1.
02

Identify the Whole Number Part

The whole number part of the decimal 5.1 is 5. This is the number to the left of the decimal point.
03

Identify the Decimal Part

The decimal part of the number 5.1 is 0.1. This is the number to the right of the decimal point and represents one tenth.
04

Write the Number in Standard Form

Convert the verbal description of the decimal 'Five and one tenth' into its numerical form, which is 5.1. This number is already in standard decimal form.

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Key Concepts

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

Whole Numbers
Let's start with whole numbers. These are numbers without any fractional or decimal part.
Think of them as numbers you can count on your fingers: 0, 1, 2, 3, and so on. They are the numbers to the left of the decimal point in any decimal number.
  • Whole numbers include zero and all the positive numbers without fractions or decimals.
  • They are an important part of any decimal number, as they provide the base or main value.
  • In our example, with the decimal 5.1, the whole number is 5.
Whenever you see a number with a decimal point, always look at the left side first. This will help you identify the whole number quickly.
Decimal Part
Now, let's explore the decimal part, which is everything to the right of the decimal point.
This part of the number shows you fractions of the whole. For instance, in the number 5.1, the decimal part is right after the "." which is 0.1.
  • The decimal part represents a value smaller than 1.
  • It is expressed as a fraction of the whole number, where a number like ".1" equals one tenth.
  • This part can include multiple digits, representing smaller fractions like hundredths, thousandths, and so forth.
When understanding decimals, it helps to think of the decimal part as a slice of the whole number cake, giving you precision in measurement and comparisons.
Standard Form
Finally, we need to understand the standard form of decimal numbers. In this context, it refers to the common or usual way of writing numbers.
For decimal numbers, the standard form combines both the whole number and the decimal part seamlessly.
  • The number is expressed purely in digits, eliminating any verbal descriptions.
  • For our example, the phrase "Five and one tenth" becomes 5.1 in standard decimal form.
  • The standard form makes mathematical calculations and comparisons straightforward and clean.
Every decimal can be neatly converted into its standard form, allowing for easy communication of numerical values across different contexts.

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Most popular questions from this chapter

During an experiment, the following times (in seconds) were recorded: $$ 7.8,6.9,7.5,4.7,6.9,7.0 . $$ Find the median.

Perform the indicated operation. \(7.2+0.05+49.1\)

Perform the indicated operation. \(-\frac{3}{4}-\frac{1}{14}\)

Divide. \(-2.156 \div 0.98\)

Divide. Divide -18 by -0.6
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