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Chapter 5: Problem 24

Write the word name for each decimal fraction. $$\frac{7}{10}$$

Short Answer

Expert verified
Seven tenths

Step by step solution

01

- Identify the Decimal Fraction

The given fraction is \(\frac{7}{10}\). This is a single-digit fraction with a denominator of 10.
02

- Convert the Fraction to a Decimal

Convert \(\frac{7}{10}\) to a decimal by dividing the numerator by the denominator: \(7 \div 10 = 0.7\).
03

- Write the Decimal in Words

Write the decimal 0.7 in word form. The decimal 0.7 is read as 'seven tenths'.

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Key Concepts

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

Converting fractions to decimals
Converting fractions to decimals is a simple process that involves division. Here's how you can do it: Take the numerator, which is the top number of the fraction, and divide it by the denominator, the bottom number. For example, to convert the fraction \( \frac{7}{10} \) to a decimal, you divide 7 by 10, resulting in 0.7. This is your decimal representation of the fraction. This method can be applied to any fraction, helping to turn them into an easier format to understand and use in calculations.
Decimal notation
Decimal notation is a standard way to write numbers that include a decimal point. This form makes it simple to understand values that are not whole numbers. For example, 0.7 represents a value that is smaller than one but more than zero. The decimal point separates the whole number part from the fractional part. In 0.7, there are 0 whole parts and 7 tenths. Understanding decimal notation helps in various aspects of math including addition, subtraction, multiplication, and division of non-whole numbers. Remember, the position of each digit relative to the decimal point determines its place value.
Place value
Place value is a fundamental concept which helps in understanding decimals. Each position in a decimal number has a specific value. Here鈥檚 a quick look at the place values in a decimal number like 0.7. The digit 7 is one place to the right of the decimal point, which means it is in the tenths place.
So, 0.7 can be read as 'seven tenths.' The place value of digits helps in reading and writing decimals correctly.
  • In 0.7, the digit 7 is in the tenths place.
  • In 0.07, the digit 7 is in the hundredths place.
  • In 0.007, the digit 7 is in the thousandths place.
Recognizing and using place value correctly is key to mastering decimal fractions.

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