Examples relating decimals and fractions in words

TL;DR

Learn how to convert decimal numbers to fractions and vice versa using easy-to-understand explanations and examples.

Transcript

• [Instructor] We are told to write seven hundredths as a fraction and a decimal. Why don't you get some paper and a pencil out and see if you can do that before we do it together. All right, so let's do it first as a fraction. So what is going to be the denominator of our fraction if they're saying seven hundredths? And the way I'm saying it is a ... Read More

Key Insights

• 🗂️ Fractions can be represented as decimals by dividing the numerator by the denominator.
• 😥 Decimals can be represented as fractions by identifying the place-value of the last digit after the decimal point.
• ❓ When converting decimals to fractions, simplify the fraction if possible.
• 🥇 Understanding place value is crucial in converting between decimals and fractions accurately.
• ❓ Both fractions and decimals are different representations of the same numerical value.
• ❓ Converting between decimals and fractions is an essential skill in mathematics.
• 🐎 Practice and familiarity with decimal-fraction conversions can improve accuracy and speed.

Questions & Answers

Q: How do you represent seven hundredths as a fraction and a decimal?

To represent seven hundredths as a fraction, the denominator is 100, and the numerator is seven. As a decimal, you write it as 0.07.

Q: How do you represent four tenths as a fraction and a decimal?

Four tenths can be represented as the fraction 4/10 or the decimal 0.4.

Q: How do you convert fractions to decimals?

To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/5 can be written as 0.6.

Q: How do you convert decimals to fractions?

To convert a decimal to a fraction, identify the place-value of the last digit after the decimal point and write it as the numerator. Then, use the appropriate power of 10 as the denominator. For example, 0.35 can be written as 35/100 or simplified to 7/20.

Summary & Key Takeaways

• To represent seven hundredths as a fraction, the denominator is 100, and the numerator is seven.

• To represent seven hundredths as a decimal, there are no ones or tenths, only seven hundredths.

• In another example, four tenths can be represented as both a fraction (4/10) and a decimal (0.4).