Question
How many times is 4 × 104 larger than 2 × 10°? (1 point)
O 200
O 20
0 2
O 2.000
O 200
O 20
0 2
O 2.000
Answers
GPT 3.5
The expression 4 ×10^4 represents the number 4 with four zeros after it, or 40,000.
The expression 2 × 10^0 represents the number 2 with no zeros after it, or 2.
To find out how many times 4 × 10^4 is larger than 2 × 10^0, we divide 4 × 10^4 by 2 × 10^0:
(4 × 10^4) / (2 × 10^0) = (4/2) × (10^4/10^0) = 2 × 10^4.
Since 10^4 is equivalent to 10,000, multiplying 2 by 10,000 gives us 20,000.
Therefore, 4 × 10^4 is 20,000 times larger than 2 × 10^0.
So the answer is: O 20,000.
The expression 2 × 10^0 represents the number 2 with no zeros after it, or 2.
To find out how many times 4 × 10^4 is larger than 2 × 10^0, we divide 4 × 10^4 by 2 × 10^0:
(4 × 10^4) / (2 × 10^0) = (4/2) × (10^4/10^0) = 2 × 10^4.
Since 10^4 is equivalent to 10,000, multiplying 2 by 10,000 gives us 20,000.
Therefore, 4 × 10^4 is 20,000 times larger than 2 × 10^0.
So the answer is: O 20,000.