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Lesson 4: Decimals in word form

# Relating decimals and fractions in words

Sal relates equivalent decimals and fractions written in word form.

## Want to join the conversation?

• How do you multiply fractions?
• To multiply two fractions, you would take their numerators (the number on top of the line) and multiply them as you would any other numbers. Then, take the denominators (the numbers on the bottom of the line) and multiply them together. Your answer should be the product of the numerators above the product of the denominators.
• Why is there no ones place in decimals?
• The decimal place value tells you the denominator of the fraction that the digit represents. For example:
0.1 = 1 tenth = 1/10
0.01 = 1 hundredth = 1/100

So if you had a oneth place, what would you get? You would have 1/1 = 1 (a whole number). You're back to the ones place which is on the left side of the decimal.

Hope this helps.
• so can decimals go forever
• yasss queennnnn
• Are decimals like fractions with wholes to the left along with a decimal point?
• Yes that is right. In a decimal, the whole number part is to the left of the decimal point, and the fractional part is to the right of it.

Have a blessed, wonderful day!
• how long is the right of the decimal
• What would you need decimals for in life?
• Decimals are most often used with money. \$1.23 That means that when you are buying something you will probably see a decimal. It is also good to know how to convert fractions to decimals as they appear cleaner and can be used easier in some cases. Instead of 1 1/2, we could simply write 1.5. I hope this helps! If you have any questions be sure to let me know.
• Why do fractions have to be more exact? I like decimals more. :(
• Some fractions convert to decimals that have infinitely many digits. For those fractions, using a finite number of decimal digits gives an approximation. For example, if we want to express 2 out of 3 equal parts, the exact answer is 2/3, but something like 0.667 is an approximation. The decimal for 2/3 has infinitely many digits.
• what about converting decimals to fractions
• For decimals with a finite number of digits, ignore the decimal point to find the numerator. The denominator is based on the place value of the last digit (furthest to the right). Then reduce as needed.

Example: convert 0.048 into a fraction. Use 48 for the numerator. The last digit of the decimal (the 8) is in the thousandths place, so use 1000 for the denominator. So the fraction is 48/1000. This reduces to a final answer of 6/125 (after dividing top and bottom each by 8).

For repeating decimals with infinitely many digits, there’s an algebra technique you will learn in 8th grade for converting to a fraction.
• When you have 76 hundredths and 6 is actually in the hundredths place then what is the place of the 70?