How many times is 4 × 104 larger than 2 × 102
To find out how many times 4 × 10^4 is larger than 2 × 10^2, we need to divide the two numbers.
(4 × 10^4) / (2 × 10^2)
To divide numbers in scientific notation, we divide the coefficients and subtract the exponents of the 10.
4 / 2 = 2
10^4 / 10^2 = 10^(4-2) = 10^2
Therefore, (4 × 10^4) / (2 × 10^2) = 2 × 10^2.
So, 4 × 10^4 is 2 × 10^2 times larger than 2 × 10^2.
To determine how many times 4 × 104 is larger than 2 × 102, you can divide the first number by the second number.
Let's calculate this step by step:
1. Calculate 4 × 104:
4 × 104 = 4 × 10,000 = 40,000
2. Calculate 2 × 102:
2 × 102 = 2 × 100 = 200
3. Divide the first number by the second number:
40,000 ÷ 200 = 200
So, 4 × 104 is 200 times larger than 2 × 102.
To compare the two expressions, we can simplify both terms and calculate the ratio between them.
First, simplify 4 × 10^4:
4 × 10^4 = 4 × 10,000 = 40,000
Next, simplify 2 × 10^2:
2 × 10^2 = 2 × 100 = 200
Now we can calculate the ratio:
40,000 / 200 = 200
Therefore, 4 × 10^4 is 200 times larger than 2 × 10^2.