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Chapter 1: Problem 536

Write as a decimal. Thirty-five thousandths

Short Answer

Expert verified
0.035

Step by step solution

01

Understand the term

Thirty-five thousandths means we are dealing with the fraction \(\frac{35}{1000}\).
02

Convert the fraction to a decimal

To convert the fraction \(\frac{35}{1000}\) to a decimal, move the decimal point three places to the left because the denominator is 1000.
03

Write the decimal

Place the decimal point to get the final decimal number. The fraction \(\frac{35}{1000}\) as a decimal is 0.035.

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Key Concepts

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

Fraction to Decimal Conversion
When converting fractions to decimals, it's important to understand the basic steps involved. Imagine you have the fraction \[\frac{35}{1000}\]. This fraction can be transformed into a decimal through a straightforward process. The method involves dividing the numerator by the denominator. In this example, divide 35 by 1000.
You can also convert this fraction by moving the decimal point. For instance, since the denominator is 1000, we will shift the decimal point three places to the left, which takes us from 35 to 0.035.
Here's a quick summary to remember:
  • Identify the fraction you need to convert.
  • Determine the number of zeros in the denominator to know how many decimal places to move.
  • Shift the decimal point accordingly.
This will help you convert any fraction to a decimal effectively and quickly.
Place Value Understanding
The place value system is fundamental when working with decimals. Every digit in a number has a specific value based on its position.
For example, in the number 0.035, the '0' before the decimal point is in the units place and has a value of 0. The '3' is in the hundredths place, and the '5' is in the thousandths place.
Here's a simple breakdown of place values after the decimal point:
  • The first position is the tenths place.
  • The second is the hundredths place.
  • The third one is the thousandths place.
Understanding place value will allow you to properly position digits and convert fractions into decimals accurately. Knowing which digit goes where helps to read, write, and work with decimal numbers confidently.
Decimal Point Movement
Moving the decimal point is a crucial skill in converting fractions to decimals. When you have a fraction with a denominator like 1000, moving the decimal point becomes necessary.
Take \[\frac{35}{1000}\] for example. To convert it into a decimal, identify the denominator's number of zeroes. In this case, '1000' means three zeros. Thus, move the decimal point of the number 35 three places to the left, resulting in 0.035.
Some quick steps to follow:
  • Count the number of zeros in the denominator.
  • Start at the rightmost digit of the numerator.
  • Move the decimal point to the left based on the number of zeros.
Practicing this technique will help you quickly and accurately convert fractions to decimals, ensuring you understand the underlying properties of the decimal system.

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