/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 20 In the following exercises, tran... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Problem 20

In the following exercises, translate the name into a decimal number. Nine thousandths

Short Answer

Expert verified
0.009

Step by step solution

01

Understand the term 'thousandths'

The term 'thousandths' refers to the place value in the decimal system that is three places to the right of the decimal point.
02

Convert 'nine' into a digit

The word 'nine' represents the number 9.
03

Place the digit in the thousandths place

Since we need to translate 'nine thousandths' into a decimal number, place the number 9 into the thousandths place. This would look like: 0.009.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

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

thousandths place
When dealing with decimals, understanding place value is key. The 'thousandths place' is the third position to the right of the decimal point. For instance, in the number 0.009, the digit 9 is in the thousandths place. This means it is 9 parts of a thousand, or 9 divided by 1000, which mathematically is represented as \(\frac{9}{1000} = 0.009\). This precise location in the place value chart helps us understand the exact size of small numbers.
decimal system
The decimal system is a way of writing numbers that has a base of 10. Each place in a decimal number represents a power of 10. This system includes whole numbers to the left of the decimal point and fractional parts to the right. For example, in the number 123.456:
- The digit 1 is in the hundreds place (
100 = 100)
- The digit 2 is in the tens place (
10 = 20)
- The digit 3 is in the ones place (
1 = 3)
- After the decimal, 4 is in the tenths place (
0.1 = 0.4)
- The digit 5 is in the hundredths place (
0.01 = 0.05)
- The digit 6 is in the thousandths place (
0.001 = 0.006)
This structure allows us to interpret and calculate with both whole numbers and fractions efficiently.
number translation
Number translation involves converting spoken or written numerical words into their appropriate numerical form. For the example problem of translating 'nine thousandths' into a decimal:
- 'Nine' is written as the digit 9.
- 'Thousandths' means placing the digit in the thousandths position.
This would mean placing the 9 three places to the right of the decimal point, yielding the decimal 0.009. By knowing both the word representation and place value, translating between forms becomes straightforward. It is important to break the translation into steps: understanding the word, identifying the value, and correctly placing the digits.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

In the following exercises, order each of the following pairs of numbers, using < or >. $$0.9\underline\quad0.6$$

In the following exercises, find the unit rate. Round to two decimal places, if necessary. 180 calories per 16 ounces

In the following exercises, translate the English phrase into an algebraic expression. 78 feet per \(r\) seconds

The parking lot at the airport charges \(\$ 0.75\) for every 15 minutes. (a) How much does it cost to park for 1 hour? (b) Explain how you got your answer to part (a). Was your reasoning based on the unit cost or did you use another method?

In the following exercises, find the unit rate. Round to two decimal places, if necessary. The pressroom at a printing plant prints 540,000 sections in 12 hours. How many sections are printed per hour?
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.