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# Work out 0.17 x 6000 - confused? watch

1. So i just revised this topic and i thought you would have to do 17 x 6000 which is 102000 and then add the decimal point before the last 0 because the dp is after the first digit in the question but in the mark scheme it simply says 1020??? But that would only be if you did 17 x 60 but the question is saying 6000??
2. Instructions weren’t clear, house burned down.
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3. (Original post by Fk90709)
Instructions weren’t clear, house burned down.
Lol I’m sorry what are you saying
4. (Original post by Jheinexx)
Lol I’m sorry what are you saying
Im as confused as you.
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5. (Original post by Fk90709)
Im as confused as you.
Confused by how i explained it or confused by how i got my answer or by the real answer?
6. 17 x 60
1.7 x 600
0.17 x 6000
7. Well 0.17=17/100 so 0.17x6000=(17/100)x6000=(17x6000)/100.
You're out by a factor of 10 basically but I'm dying to give you the intuition of why you divide by 10 or 100 or whatever in general.
Hope this helps
8. 0.17×6000
1.7×600
17×60
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9. (Original post by Notoriety)
17 x 60
1.7 x 600
0.17 x 6000
But why 17 x 60 when it clearly says 6000
10. (Original post by B_9710)
Well 0.17=17/100 so 0.17x6000=(17/100)x6000=(17x6000)/100.
You're out by a factor of 10 basically but I'm dying to give you the intuition of why you divide by 10 or 100 or whatever in general.
Hope this helps
No idea what you just said:/
11. (Original post by starfab)
0.17×6000
1.7×600
17×60
Buttt why would it be 17 x 60 when it says 6000
12. (Original post by Jheinexx)
No idea what you just said:/
What's your reasoning for dividing by 10 after you do 17x6000?
Maybe if you see that 0.17x6000=(0.1+0.07)x6000 then you can expand so it's just (0.1x6000)+(0.07x6000) I don't knos if this make sense to you or makes it any easier or whether you find that just as confusing.
13. Think of 0.17 exponentially : 17 x 10-2

Now multiple 17 x 10-2 by 6000 and you get an answer of 102000 x 10-2

So you move the decimal point in 102000 by 2 places to the left (because of the exponent) and your answer is 1020
14. (Original post by B_9710)
What's your reasoning for dividing by 10 after you do 17x6000?
I don’t divide by 10. I do 17 x 6000 = 102000 then add the dp before the last 0 making it 10200.0
15. (Original post by Jheinexx)
Buttt why would it be 17 x 60 when it says 6000
Because
when you move the decimal point in 0.17 you're timesing that by 10. So you need to divide by 10 on 6000.
So if you've times'ed by 10 and divided by 10 ik the same equation, it's likw you've made no changes.

so... 0.05 ×1000
is the same as 0.5 ×100
or the same as 5 × 10

Does that make sense?
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16. (Original post by The Night King)
Think of 0.17 exponentially : 17 x 10-2

Now multiple 17 x 10-2 by 6000 and you get an answer of 102000 x 10-2

So you move the decimal point in 102000 by 2 places to the left (because of the exponent) and your answer is 1020
Please no negative numbers. I want the simplest way
17. (Original post by Jheinexx)
I don’t divide by 10. I do 17 x 6000 = 102000 then add the dp before the last 0 making it 10200.0
But it's 0.17 so theres decimal point needs to move twice. so 1020.00
if it was 01.7 then you'd move it once so then it'd be what you got, 10200.0
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18. (Original post by Jheinexx)
I don’t divide by 10. I do 17 x 6000 = 102000 then add the dp before the last 0 making it 10200.0
Ok by putting the decimal point where you do you are in fact just dividing by 10 essentially - maybe without realising it. The key thing here though is that you have to divide by 100 so the decimal point moves two places to the left not one.
19. (Original post by Jheinexx)
Please no negative numbers. I want the simplest way
But this is the simplest way to do it without a calculator lol. Fastest too
20. (Original post by Jheinexx)
I don’t divide by 10. I do 17 x 6000 = 102000 then add the dp before the last 0 making it 10200.0
not before the last zero, before the last 2 zeros
bc there are 2 digits after the decimal place in 0.17, you move the decimal place twice when putting it back in
if it were 0.6 for example, there is only one number after the decimal place, you youd only only move the decimal by one place when putting it back in

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