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 can calculate the ratio of the two numbers.
Ratio = (4 × 10^4) / (2 × 10^2)
Simplifying the numerator and denominator, we get:
Ratio = (4 × 10 × 10 × 10 × 10) / (2 × 10 × 10)
Cancelling out common factors, we have:
Ratio = 2 × 10 × 10
Calculating the product, we get:
Ratio = 400
Therefore, 4 × 10^4 is 400 times larger than 2 × 10^2.
How many times is 4 × 104
larger than 2 × 102
?
Responses
20
20 - incorrect
200
200 - not selected, this is the correct answer
2
2 - no response given
2,000
pls explain
Apologies for the confusion. Let's go through the calculation again.
To find out how many times 4 × 10^4 is larger than 2 × 10^2, we can calculate the ratio of the two numbers.
Ratio = (4 × 10^4) / (2 × 10^2)
Simplifying the numerator and denominator, we get:
Ratio = (4 × 10 × 10 × 10 × 10) / (2 × 10 × 10)
Cancelling out common factors, we have:
Ratio = 2 × 10 × 10
Calculating the product, we get:
Ratio = 200
Therefore, 4 × 10^4 is 200 times larger than 2 × 10^2.
The radius of a hydrogen atom is 0.0000000529177 of a millimeter. Express this number as an approximation.
Responses
0.0000005
0.0000005 - no response given
0.00000005
0.00000005 - not selected, this is the correct answer
0.0000000053
0.0000000053 - incorrect
0.00000006 pls explain
To express the given radius of a hydrogen atom, which is 0.0000000529177 millimeters, as an approximation, we need to round it to a reasonable number of decimal places.
If we round the number to six decimal places, we get:
0.0000000529177 ≈ 0.00000005
Therefore, the approximation of the radius of a hydrogen atom is 0.00000005 millimeters.
To find out how many times 4 × 104 is larger than 2 × 102, we can divide the first number by the second number.
4 × 104 ÷ 2 × 102 = (4 ÷ 2) × (104 ÷ 102)
Simplifying further:
= 2 × (10,000 ÷ 100)
= 2 × 100
= 200
Therefore, 4 × 104 is 200 times larger than 2 × 102.
To determine how many times 4 × 104 is larger than 2 × 102, we need to find the ratio of the two numbers.
First, let's calculate the value of 4 × 104:
4 × 104 = 4 × (10^4) = 4 × 10,000 = 40,000
Now, let's calculate the value of 2 × 102:
2 × 102 = 2 × (10^2) = 2 × 100 = 200
To find out how many times larger one number is compared to the other, we divide the larger number by the smaller number:
40,000 / 200 = 200
Therefore, 4 × 104 is 200 times larger than 2 × 102.