Problem 535 Write as a decimal. Twenty-nin... [FREE SOLUTION]

Chapter 1: Problem 535

Write as a decimal. Twenty-nine thousandth

Short Answer

Expert verified

0.029

Step by step solution

Understand the Place Value

The term 'thousandth' refers to the place value in the decimal system. Specifically, it is three places to the right of the decimal point.

Convert the Term to Decimal Format

The term 'twenty-nine thousandth' can be expressed as a fraction: \( \frac{29}{1000} \).

Divide to Find the Decimal Equivalent

Perform the division \( \frac{29}{1000} \) to convert the fraction to a decimal. Dividing 29 by 1000 gives 0.029.

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Key Concepts

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

place value

When working with decimals, understanding place value is crucial. In the decimal system, each place has its value based on its position relative to the decimal point. For instance, in the number 0.029, the digit '0' is in the tenths place, the '2' is in the hundredths place, and the '9' is in the thousandths place. Place value helps us identify the exact value of each digit in a decimal number and is especially useful when converting terms to their decimal equivalents. In this exercise, recognizing that 'thousandth' indicates a position three places to the right of the decimal point is key.

fractions to decimals

Converting fractions to decimals is a skill that helps bridge the gap between two representations of the same number. To convert a fraction to a decimal, you divide the numerator (the top number) by the denominator (the bottom number). For the fraction \( \frac{29}{1000} \), you divide 29 by 1000. This process may seem straightforward, but it requires a solid understanding of division and place value to achieve accurate results. The fraction \( \frac{29}{1000} \) can be seen as 29 parts out of 1000, and when you perform the division, you get the decimal 0.029.

division in decimal conversion

Division plays a crucial role in converting fractions to decimals. In this particular exercise, you need to divide 29 by 1000 to find the decimal form of the fraction \( \frac{29}{1000} \). Start by understanding that dividing by 1000 is the same as moving the decimal point in the numerator three places to the left.
Here's a simple breakdown:

29 divided by 10 is 2.9 (move the decimal one place left).
2.9 divided by 10 is 0.29 (move the decimal another place left).
0.29 divided by 10 is 0.029 (move the decimal one more place left).

Therefore, dividing by 1000 results in the decimal 0.029. This method relies on a solid grasp of how division interacts with place value in the decimal system.

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91影视

Write as a decimal. Twenty-nine thousandth

Short Answer

Step by step solution

Understand the Place Value

Convert the Term to Decimal Format

Divide to Find the Decimal Equivalent

Key Concepts

place value

fractions to decimals

division in decimal conversion

One App. One Place for Learning.

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