How many times is 4×10⁴ larger than 2×10²?
A. 2,000
B. 20
C. 2
D. 200
To find out how many times 4×10⁴ is larger than 2×10², we can divide 4×10⁴ by 2×10²:
(4×10⁴) / (2×10²) = 2×10²
So, 4×10⁴ is 2×10² times larger than 2×10².
The correct answer is C. 2.
To find out how many times 4×10⁴ is larger than 2×10², we need to divide the larger number by the smaller number.
4×10⁴ / 2×10²
To divide the base numbers, we have:
4 / 2 = 2
To divide the powers of 10, we subtract the exponents:
10⁴ / 10² = 10²
Putting it all together, we have:
2 × 10² = 200
Therefore, 4×10⁴ is 200 times larger than 2×10².
The correct answer is D. 200.
To answer this question, we need to compare the values of 4×10⁴ and 2×10². The values in exponential notation represent a number multiplied by a power of ten.
To compare these values, we can convert them to standard decimal notation.
For 4×10⁴, we multiply 4 by 10,000 (since 10⁴ equals 10,000). This gives us 40,000.
For 2×10², we multiply 2 by 100 (since 10² equals 100). This gives us 200.
Now we can see that 4×10⁴ is 40,000, and 2×10² is 200.
To find out how many times 4×10⁴ is larger than 2×10², we divide the larger number by the smaller number.
So, 40,000 divided by 200 equals 200.
Therefore, 4×10⁴ is 200 times larger than 2×10².
The correct option is D. 200.