The world's smallest bat, the bumblebee bat, weighs 7 x 10² ounces. On the other hand, a dragonfly has a weight of 1 x 10⁴ounce. Is this heavier or lighter than the weight of the bumblebee bat? By how much?
The dragonfly is heavier by 9300 ounces more than the bumblebee.
Step-by-step explanation:
To be able to understand this question, I will first explain about scientific notation of number.
Scientific Notation - This is used to represent a very large number or a very small number and follows the format 1 x 10ˣ where the 10ˣ represents the movement of the decimal point.
Ex. 2500000
How its done :
Determine Your Decimal Movement
(take note that the decimal point for whole numbers is located at the end)
2500000. move the decimal point
25.00000 the decimal point moved5 unit places so
25 x 10⁵ the 10 is now raised to 5
or you can also do this
2500000. start with finding the decimal point
2.500000 then moving it 6 unit places
2.5 x 10⁶ the 10 is now raised to 6
Conclusion: You can choose either of the two, they are both correct.
Now to answer the Question.
Let us apply what we have learned so far.
1. Bumblebee weighs 7 x 10² ounces
= 7 x 10² is also the same as 700
7 x 10² (notice what number is 10 raised to)
700 since the 10 is raised to 2, it means there are 2 zeros after the decimal point
the bumblebee weighs 700 ounces
2. dragonfly weighs 1 x 10⁴ ounces
= 1 x 10⁴ is also the same as 10000
(since 10 was raised to 4, there are 4 zeros after the decimal point)
the dragonfly weighs 10000 ounces
comparing the weight of the two
10000 ounces is bigger than 700 ounces
* To get by how much the dragonfly is heavier than the bumblebee, we will subtract
* 10000 - 700 = 9300 ounces
Conclusion: The dragonfly is heavier by 9300 ounces more than the bumblebee.
Answers & Comments
Verified answer
Answer:
The dragonfly is heavier by 9300 ounces more than the bumblebee.
Step-by-step explanation:
To be able to understand this question, I will first explain about scientific notation of number.
Scientific Notation - This is used to represent a very large number or a very small number and follows the format 1 x 10ˣ where the 10ˣ represents the movement of the decimal point.
Ex. 2500000
How its done :
(take note that the decimal point for whole numbers is located at the end)
or you can also do this
Conclusion: You can choose either of the two, they are both correct.
Now to answer the Question.
Let us apply what we have learned so far.
1. Bumblebee weighs 7 x 10² ounces
= 7 x 10² is also the same as 700
the bumblebee weighs 700 ounces
2. dragonfly weighs 1 x 10⁴ ounces
= 1 x 10⁴ is also the same as 10000
(since 10 was raised to 4, there are 4 zeros after the decimal point)
the dragonfly weighs 10000 ounces
comparing the weight of the two
10000 ounces is bigger than 700 ounces
* To get by how much the dragonfly is heavier than the bumblebee, we will subtract
* 10000 - 700 = 9300 ounces
Conclusion: The dragonfly is heavier by 9300 ounces more than the bumblebee.