A biologist estimated that the current population of ladybugs in the region was 8.3 × 106. He predicts that a swarm of 950,000 ladybugs will be arriving into the region.
According to the biologist's estimates, how many ladybugs will be in the region after the swarm arrives?
A.
9.25 × 10^7
B.
1.78 × 10^7
C.
9.25 × 10^6
D.
1.78 × 10^6
To find the total population of ladybugs after the swarm arrives, you need to add the current population to the number of ladybugs in the swarm.
Current population of ladybugs: 8.3 × 10^6
Number of ladybugs in the swarm: 9.5 × 10^5
To add these numbers, we can use the same exponent and add the coefficients:
8.3 × 10^6 + 9.5 × 10^5 = (8.3 + 0.95) × 10^6 = 9.25 × 10^6
Therefore, the correct answer is C. 9.25 × 10^6.
To find the total population of ladybugs after the swarm arrives, you need to add the current population to the number of ladybugs in the swarm.
Current population: 8.3 × 10^6
Swarm population: 950,000
To add these two values, you need to convert the swarm population to scientific notation:
950,000 = 9.5 × 10^5
Now, you can add the current population to the swarm population:
8.3 × 10^6 + 9.5 × 10^5 = (8.3 + 0.95) × 10^6 = 9.25 × 10^6
So, the total population of ladybugs in the region after the swarm arrives will be 9.25 × 10^6.
The correct answer is C. 9.25 × 10^6.
To find the total number of ladybugs in the region after the swarm arrives, you need to add the current population to the number of ladybugs in the swarm.
Current population: 8.3 × 10^6
Swarm of ladybugs: 950,000
To add these numbers, make sure their exponents or powers of 10 are the same. In this case, both numbers are already in standard form, so you can add them directly:
8.3 × 10^6 + 9.5 × 10^5
Next, add the coefficients (the numbers in front of the powers of 10) together:
8.3 + 0.95 = 9.25
Finally, keep the same power of 10 as the original numbers since addition does not change the powers of 10:
9.25 × 10^6
Therefore, according to the biologist's estimates, there will be 9.25 × 10^6 ladybugs in the region after the swarm arrives. So, the correct answer is C.