Scientific notation help.

anber

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Jul 12, 2013
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Did I do the following four problems right?

1. (5 x 104) – (3 x 103)
(50 x 103) – (3 x 103)
50 – 3 =47
47 x 103
47/10= 4.7
4.7 x 102


2. (1.25 x 103) + (4.25 x 102)
(12.5 x 102) + (4.25 x 102)
12.5 +4.25
16.75 x 102
16.75/10 = 1.675
1.675 x 101


3. (4.3 x 105) + (2.1 x 102)
(430 x 102) + (2.1 x 102)
430 x 102 =43,000
4.1 x 105 = 430,000
(43,000) + (430,000)
473,000
473,000/100,000 =4.73
4.73 x 105

4. 630,000 = 630,000/100,000=0.63 6.3 x 105
 
Last edited:
Did I do the following four problems right?

1. (5 x 104) – (3 x 103)
(50 x 103) – (3 x 103)
50 – 3 =47
47 x 103
47/10= 4.7
4.7 x 102
Incorrect ...That should be 4.7 * 1042. (1.25 x 103) + (4.25 x 102)
(12.5 x 102) + (4.25 x 102)
12.5 +4.25
16.75 x 102
16.75/10 = 1.675
1.675 x 101

Incorrect ...That should be 1.675 * 103
3. (4.3 x 105) + (2.1 x 102)

(4300 x 102) + (2.1 x 102) .... Then

= 4302.1 * 102

= 4.3021 * 105

430 x 102 =43,000
4.1 x 105 = 430,000
(43,000) + (430,000)
473,000
473,000/100,000 =4.73
4.73 x 105
Incorrect ...That should be 4.3021 * 105


4. 630,000 = 630,000/100,000=0.63

630,000 = 6.3 x 105..................Correct
.
 
Last edited by a moderator:
Thank you so much I figured out my mistakes, when I was dividing by 10 or 100 I was taking away instead of adding to the number next to the original ten.
 
combined posts of anber and Subhotosh Khan said:
3. (4.3 x 105) + (2.1 x 102)

(430 x 102) + (2.1 x 102) .... Then <----- Incorrect. It should be \(\displaystyle \ \ (4300 \ \times \ 10^2) \ + \ (2.1 \ \times \ 10^2).\)

= 432.1 * 102 <----- Incorrect. It should be \(\displaystyle \ \ 4302.1 \ \times \ 10^2. \)

= 4.321 * 104
<----- Incorrect. It should be \(\displaystyle \ \ 4.3021 \ \times \ 10^5.\)
430 x 102 =43,000
4.1 x 105 = 430,000
(43,000) + (430,000)
473,000
473,000/100,000 =4.73
4.73 x 105
Incorrect ...That should be 4.321 * 104 <----- Incorrect. It should be \(\displaystyle \ \ 4.3021 \ \times \ 10^5.\)
\(\displaystyle \ \ \)anber and Subhotosh Khan, there was the first of the errors beginning with the second line above (as pointed out by me in bold black text).
 
\(\displaystyle \ \ \)anber and Subhotosh Khan, there was the first of the errors beginning with the second line above (as pointed out by me in bold black text).

Lookagain is correct - I fixed the original post
 
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