Question

write each number in scientific notation
4000

Answer 1

a number is in scientific notation when it is expressed as a digit (1-9) followed by a decimal, timesed by some power of ten

like 2 = 2.0 x 10^0

356 = 3.56 x 10^2

0.0041 = 4.1 x 10^-3

Answer 2

7 000 000 = 7 x 10^6

0.00009981 = 9.981 x 10^-5

Answer 3

when the decimal point has moved to the left, the exponent of ten will be positive (and equal to the number of places it has moved)

the the decimal point has moved to the right, the exponent of ten will be negative (and equal to the number of places the it has moved )

Answer 4

4 000. = 4.000 x 10 ^ ?

how many places has the decimal point moved?
will it be positive or negative?

Answer 5

3

Answer 6

yes!

, do you have more like this?

Answer 7

yes

Answer 8

6550000000

Answer 9

so whats the first step ?

Answer 10

is it 655.0000000*10^7

Answer 11

that number is equal , so your on the right track,

but to be scientific notation you need to only have one digit to the left of the decimal place

Answer 12

65.50000000*10^7

Answer 13

that is still to many digits, on the left of the decimal place,
also for that number to be equal you would have to add one to the index of the ten

Answer 14

i give up

Answer 15

65.50000000*10^8

would be equal but you only want one digit to the left of the decimal place

6.55 * 10 ^ ?

Answer 16

(the zeros at on the right are insignificant so you dont have to write them)

Answer 17

so your saying it will be 6.55*10^7

Answer 18

\[\large6\overbrace{~55\overbrace{0~000~000}^{7}}^?=655 \times 10^7=6.55\times10^?\]

Answer 19

10

Answer 20

not quite try again


\[\large6\overbrace{~55\overbrace{0~000~000.}^{7}}^?\\\large\qquad=655. \times 10^7\\\large\qquad=6.55\times10^?\]

Answer 21

9

Answer 22

right

Answer 23

my next one is 3940000

Answer 24

and what do think it is in scientific notation ? how many place does the point move

Answer 25

i thing this one is 394*10^6

Answer 26

where'd the decimal point go?

Answer 27

3.94

Answer 28

right, but now where'd the 10's go?

Answer 29

your almost there, just put it together

Answer 30

3.94*10^6

Answer 31

YESS!!!

Answer 32

next is 1220000

Answer 33

12.2*10^5

Answer 34

well 1 220 000 is equal to 12.2*10^5, but remember you want only one digit to the left for scientific notation

Answer 35

1.22*10^6

Answer 36

√ Right !

Answer 37

next is 4.3

Answer 38

ok well you will need to have a x10^? on the end
but what number should ? be

has the decimal place moved>?

Answer 39

ithnk it is 4.3*10^0

Answer 40

√√√ correct

Answer 41

next is 11600

Answer 42

i think it is 1.16*10^4

Answer 43

good work,

Answer 44

next is 0.00000021

Answer 45

ok so this time we have to move the decimal place to the right, the power of 10 will be a negative number

Answer 46

is it 2.1*10^-8

Answer 47

very close, count those places again

i find it helps to rewrite the number with space
0.000 000 21

Answer 48

-7

Answer 49

thats better!

Answer 50

next one is 7150000

Answer 51

is it 7.15*10^6

Answer 52

that is right

Answer 53

now this is diffrent it says fix each number so that it is in scientific notation

Answer 54

ok

Answer 55

first problem is 0.56*10^6

Answer 56

ah so its almost there, you just have to move the decimal place one step, is it positive or negative?

Answer 57

so it will be 5.6*10^6

Answer 58

but you have to change the index of 10

Answer 59

^7

Answer 60

the decimal place moved the right (not the left )

Answer 61

.56

Answer 62

0.56*10^6 = 5.6*10^(6-1)

Answer 63

next one is 320*10^3

Answer 64

this one the decimal place moves to the left, so ^(3+?)

Answer 65

3

Answer 66

nope