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Multiplying standard form

Help in general
Original post by heyitscraziix
Help in general


It's simple

For example

(3×104)×(8×105)=(3×8)×104+5=24×109(3 \times 10^4) \times (8 \times 10^5) = (3 \times 8) \times 10^{4+5} = 24 \times 10^9

24 isn't in standard form because it's not between 1 and 10. The trick is to divide 24 by ten and add one to the power, so you're left with

2.4×10102.4 \times 10^{10}
Original post by Indeterminate
It's simple

For example

(3×104)×(8×105)=(3×8)×104+5=24×109(3 \times 10^4) \times (8 \times 10^5) = (3 \times 8) \times 10^{4+5} = 24 \times 10^9

24 isn't in standard form because it's not between 1 and 10. The trick is to divide 24 by ten and add one to the power, so you're left with

2.4×10102.4 \times 10^{10}


Is 2.4×10102.4 \times 10^{10} really 24 in standard form?

240000000000.
Original post by Louisb19
Is 2.4×10102.4 \times 10^{10} really 24 in standard form?

240000000000.


I never said that.

My point was that

a×10b a \times 10^b

is only in standard form if a is between 1 and 10.
Original post by Indeterminate
I never said that.

My point was that

a×10b a \times 10^b

is only in standard form if a is between 1 and 10.


Ohhhh.
[QUOTE="Indeterminate;59999373"]It's simple

For example

(3×104)×(8×105)=(3×8)×104+5=24×109(3 \times 10^4) \times (8 \times 10^5) = (3 \times 8) \times 10^{4+5} = 24 \times 10^9

24 isn't in standard form because it's not between 1 and 10. The trick is to divide 24 by ten and add one to the power, so you're left with

2.4×10102.4 \times 10^{10}[/QUOTE


ohmygod!! Thank u so much!!
My teacher confused me!!
So what if its 2.45 ?
Is it 2.45 to the power 10 2
Original post by heyitscraziix
Original post by Indeterminate
It's simple

For example

(3×104)×(8×105)=(3×8)×104+5=24×109(3 \times 10^4) \times (8 \times 10^5) = (3 \times 8) \times 10^{4+5} = 24 \times 10^9

24 isn't in standard form because it's not between 1 and 10. The trick is to divide 24 by ten and add one to the power, so you're left with

2.4×10102.4 \times 10^{10}



ohmygod!! Thank u so much!!
My teacher confused me!!
So what if its 2.45 ?
Is it 2.45 to the power 10 2


If the numbers were, for example, 5 and 4.9, then you'd get

5×4.9=24.55 \times 4.9 = 24.5

But then you'd just do exactly the same thing and get 2.45 instead :smile:
Original post by Indeterminate
If the numbers were, for example, 5 and 4.9, then you'd get

5×4.9=24.55 \times 4.9 = 24.5

But then you'd just do exactly the same thing and get 2.45 instead :smile:


What about division?
Original post by heyitscraziix
What about division?


For example

(5.4×10−5)÷(9×103)=(5.4÷9)×(10−5÷103)=0.6×10−8(5.4 \times 10^{-5}) \div (9 \times 10^3) = (5.4 \div 9) \times (10^{-5} \div 10^3) = 0.6 \times 10^{-8}

0.6 isn't between 1 and 10, so you have to multiply it by 10 and reduce the power by 1. That leaves you with

6×10−96 \times 10^{-9}

Practice makes perfect I guess.
(edited 8 years ago)
Original post by Indeterminate
For example

(5.4×10−5)÷(9×103)=(5.4÷9)×(10−5÷103)=0.6×10−8(5.4 \times 10^{-5}) \div (9 \times 10^3) = (5.4 \div 9) \times (10^{-5} \div 10^3) = 0.6 \times 10^{-8}

0.6 isn't between 1 and 10, so you have to multiply it by 10 and reduce the power by 1. That leaves you with

6×10−96 \times 10^{-9}

Practice makes perfect I guess.


i was confused about this topic as well but this made it so much clear thanks

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