Question

write in standard form. a)100.08 b)0.00073 c)383.51 d)1235067.53

Answer 1

Answer:

Step-by-step explanation:

100.08 = 10008/100=1.0008×10000/100

1.0008×10^4/10^2=

1.0008×10^4-2

1.0008×10^2

Answer 2

a) The standard form of 100.08 is $1.0008 * 10^{2}$

b) The standard form of 0.00063 is $6.3 * 10^{-4}$

c) The standard form of 383.51 is $3.8351 * 10^{2}$

d) The standard form of 1235067.53 is $1.23506753 * 10^{6}$

Given: a)100.08 b)0.00073 c)383.51 d)1235067.53

To Find: Standard form of the numbers

Solution: The standard form of a number is a form where the number can be written in decimal form between 1.0 and 10.0 with a power of 10.

a) The standard form of 100.08:

Step1: Shift the decimal to the first non-zero number i.e., 1

It becomes 1.0008

Step2: Now. the decimal was shifted to two places to the left so, write 2 as the power of 10.

$1.0008 * 10^{2}$

b) The standard form of 0.00063:

Step1: Shift the decimal to the first non-zero number i.e., 6

It becomes 6.3

Step2: Now. the decimal was shifted to four places so, write -4 as the power of 10.

$6.3 * 10^{-4}$

c) The standard form of 383.51:

Step1: Shift the decimal to the first non-zero number i.e., 3

It becomes 3.8351

Step2: Now. the decimal was shifted to two places to the left so, write 2 as the power of 10.

$3.8351 * 10^{2}$

d) The standard form of 1235067.53:

Step1: Shift the decimal to the first non-zero number i.e., 1

It becomes 1.23506753

Step2: Now. the decimal was shifted to six places to the left so, write 6 as the power of 10.

$1.23506753 * 10^{6}$

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