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Convert decimal from expanded form to standard form
Learn to write (4x1,000,000)+(3x1000)+(67x1/1000) in standard form. Created by Sal Khan.
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- Why are decimals so important?(really why)(15 votes)
- Decimals are so important because money is basically decimals.
one dollar and fifty five cents = 1.55(1 vote)
- Why do you need to now how to write stuff in expanded form and rewrite it in
decimals? (Like WHY!)(2 votes)
- Why did he have to put parenthesis? Could you not do it without parenthesis?(2 votes)
- The parenthesis show what to do first. You do the parenthesis first, then the exponents, then multiply and divide, and finally add and subtract. Remember to always go from left to right.(1 vote)
- What is an easy way convert decimal in expanded form(2 votes)
- Sometimes....You just use big words and it confuses me. Who agrees...?(2 votes)
- I agree with you. If you don’t know a word I suggest using the Merriam Webster Online Dictionary.(1 vote)
- Let's say I'm doing a question like 10 x 5 divided by 10 x 6. Does it matter where I put the parentheses?(1 vote)
- Yes it does very much because if you put the parentheses on the wrong side of the equation then it will mess the whole thing up(2 votes)
- sal just wanted to know that how to do decimal place value send a link if you have a video(1 vote)
- Not Sal here, but here's a video on place value, specifically for decimals: https://www.khanacademy.org/math/cc-fifth-grade-math/cc-5th-place-value-decimals-top/5th-cc-decimals-place-val/v/expanding-out-a-decimal-by-place-value(2 votes)
- where do you find the financial literacy video(1 vote)
- When the thousandths place is over ten does it go into the next place value(1 vote)
- yes it should go to the hundredths place, example: 1 one 3 tenths 4 hundredths and 13 thousands so it is actually 1 one 3 tenths 5 hundredths and 3 thousands 1.353(2 votes)
- what if u have more then one after the decimals(1 vote)
- that means that you have a very big numbers(1 vote)
I want to write this expression here as a decimal. And the first question that might pop in your head is do I multiply 4 times 1,000, then add 3, then multiply 1,000, then add 67, then multiply by 1 over 1,000? Or do I do the multiplication first? To answer that question, we just have to remind ourselves about order of operations. Order of operations, if you have a bunch of multiplication and addition in a row like this, you will do the multiplication first. Let me put some parentheses here to remind us of that. So let's figure out what each of these expressions in the parentheses actually represent. What's 4 times 1 million? Well, that's 4 million. What's 3 times 1,000? Well that's 3,000. What is 67 times 1 thousandth? And there's a bunch of ways of thinking about this. Actually, let me write them all over here. Well, I'll do the most obvious one right over here. 67 times 1 thousandth is 67 thousandths. And we can represent this literally as 67/1000. Or we could represent this as 60 over 1,000 plus 7 over 1,000. And what's 60 over 1,000? Well, 60 over 1,000 is 6 hundredths. So let me put that in a different color. 6 hundredths, 7 thousandths. So you could view this is 67 thousandths. Or you could view this is 6 hundredths and 7 thousandths. Either way, let's add all of these things together. So we have 4 million. So the 4 in the millions place literally represents 4 million. Then we have no hundred thousands. We have no ten thousands. But then we have 3,000. So the 3 is in the thousands place. Let me put a comma here, so we can keep track of things. And then we have no hundreds. We have no tens. We have no ones. We don't even have any tenths. But we do have some hundredths. We have 6 hundredths. And then we have some thousandths. We have 7 thousandths. So we put that 7 in the thousandths place. So we could read this 4 million, 3 thousand, 6 hundredths and 7 thousandths. Or we could read it as 4 million, 3 thousand, and 67 thousandths.