Question

Which of the following is the

correct way to express the
number below in standard form?
3.7 x 10-4
A. 0.000037
B. 0.00037
C. 37000
D. 370000

Answer 1

`\implies` The correct answer is (B) 0.00037

Explanation:

`\bf{ \underline{Step \: 1)} :3.7 × 10^(-4 )we \: can \: write \: as \:37 × 10^(-5)}`

`\bf{ \underline{Step \: 2)} :37 × 10^(-5 ) \: we \: can \: write \: as \: 37 × (1)/(10^5)}`

`\bf{ \underline{Step \: 3)} :37 × (1)/(10^5)\: we \: can \: write \: as \: (37 × (1)/((10)(10)(10)(10)(10))})`

`\bf{ \underline{Step \: 4)} :37 × (1)/((10)(10)(10)(10)(10)) we \: can \: write \: as \: ( 37 × (1)/(100000)})`

`\bf{ \underline{Step \: 5)} :37 × (1)/(100000) \: we \: can \: write \: as \: (37)/(100000)}`

`\bf{ \underline{Step \: 6)} :(37)/(100000) \: we \: can \: write \: as \: 0.000037}`