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### Course: Staging content lifeboat>Unit 14

Lesson 28: Comparing decimals

# Comparing decimals 2

Sal compares decimals like 0.0093 and 0.01 with greater and less than symbols. Created by Sal Khan.

## Want to join the conversation?

• couldn't it just be 0.070 seventy
• It couldn't be 70 as in "seven times ten".
However, It could be seventy thousandths. 0.070 = 70/1000 or 7/100.

Remember, if you multiply the numerator and denominator of a fraction by the same amount, it won't change the value.
• What is the lowest Decimal?
• it's 100 minus 99.999 with a bar on top of the .99
• How is Comparing decimals 2 different from Comparing decimals 3?
• Decimals like 0.0093 and 0.01 with greater and less than symbols.
(1 vote)
• which is bigger 1.6 or 1.28? and why?
• 1.6 is bigger. You can think as 1.6 as 1.60, and we can easily see that 1.60 is bigger than 1.28.
• At you said 0.093 but it is 0.0093.
• how do you round i forgot?
• To round any number to a certain place, you have to look at the place that is directly to the right of the place you're rounding to. If the value in that place is between 0-4, inclusive, you round down. This means that you take every place that's after the place you're rounding to and make it a zero. If the value of the place right next to the place you're rounding to is instead 5-9, you round up. This means that you do the same thing as when rounding down, but increase the value of the place you're rounding to by 1.
For example, let's say we have to round 4508232 to the nearest 1000. We look at the thousands place, then the digit that is one smaller than it, which is the 2 in the hundreds place. The 2 is from 0-4, so we round down. Everything after the thousands place becomes a zero, and you get 4508000.
• at , wouldn't 0.070 be bigger because it is in the hundredths place?
(1 vote)
• I think you are confusing hundreds with hundredths. 0.070 is 7/100, which means you have 7 parts out of 100 parts where 100 parts will create 1 whole number.
Sal is comparing that to 1/10. If you change 1/10 to hundredths you get 10/100. 10 out of 100 parts is larger than 7 out of 100 parts.