Question

Write the expression multiply 0.035 times of a power of 10 so that the product is greater than one by less than 100

Answer 1

Answer:

$0.035\times 10^{3}$

$0.035\times 10^{2}$

Step-by-step explanation:

Given the number: 0.035 which has three decimal place

• Case 1:  if we multiply  by 10

=> we have: 0.035*10 = 0.35

Hence, the product 0.35 which is smaller than 1 (we do not accept)

• Case 2:  if we multiply  by 1000

=> we have: 0.035*1000 = 35

Hence, the product 35 which is greater than 1 and less than 100

• Case 3:  if we multiply  by 100

=> we have: 0.035*100= 3.5

Hence, the product 3.5 which is greater than 1 and less than 100

• Case 4:  if we multiply  by 10000

=> we have: 0.035*10000= 350

Hence, the product 350 which is greater than 100 (we do not accept)

Therefore, we have two expression:

$0.035\times 10^{3}$

$0.035\times 10^{2}$