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## Staging content lifeboat

### Course: Staging content lifeboat>Unit 14

Lesson 43: Rewriting fractions as decimals

# Rewriting a fraction as a decimal: 21/60

Sal rewrites 21/60 as a decimal. Created by Sal Khan.

## Want to join the conversation?

• Is there a millionths place?
• Yes. The 1st number to the right of the decimal is the tenths place (1/10 or 0.1). The 2nd number to the right of the decimal is the hundreths place (1/100 or 0.01). The 3rd number to the right of the decimal is the thousandths place (1/1,000 or 0.001). The 4th number to the right of the decimal is the ten thousandths place (1/10,000 or 0.0001). The 5th number to the right of the decimal is the hundred thousandths place (1/100,000 or 0.00001). AND, the 6th number to the right of the decimal is the millionths place. So, .000001 is equal to 1/1,000000 which is one millionth. Hope this helps. Good Luck.
• How to get the greatest common multiple of two numbers if they are both too big? Then I won't be able to simplify the fraction?
• how would you convert hundreths to tenths
• 100 divided by 10 is equal to 10. Therefore, we divide the numerator and denominator( the denominator is 100) by 10 to convert hundredths to tenths (the denominator will now be 10).
• is there a trillionths place? or more?
• Yup! There's a quadrillionths place, octillionths place, and more. In fact, for any name of a large number, you can add the "-ths" for its inverse, for infinitely many numbers: https://en.wikipedia.org/wiki/Names_of_large_numbers
• I think not every number will result in a product that is divisible by 10. So I think in that case, you might have to do long division.
• You're right. For example, 50/23. Here we just directly divide 50 and 23.
• I don't think every number will result in a product that's divisible by 10, so in this case, you have to do long division. Also, I don't know what was the point of the 3/5 + 5/100. Don't know what Sal was trying to show.
• For the 30/100 + 5/100, Sal was trying to show why we call 0.35 thirty five hundredths. "We have 5 in the hundredths place but why do we call it thirty five hundredths?" Sal said three tenths (3/10) is the same as thirty hundredths (30/100). So we add 30/100 and 5/100 together to get 35 hundredths.
• Up to how many decimal places can there be?
• There are an infinite number of possible places. As we get off the the right, however, the places start to get less and less important. Usually, you will round off to 3 or 4 places.
• Write each as a decimal and fraction . Four and nine hundred this decimal.