Calculate 6.25 × 106 - 4.73 × 10. Express your answer in scientific notation to 2 decimal places. (1 point)
The calculation would be 6.25 × 10^6 - 4.73 × 10^1.
To subtract these numbers, we need to ensure that the exponents (powers of 10) are the same. In the given calculation, the exponent in the second number is 1, while the exponent in the first number is 6. To make the exponents the same, we can rewrite the second number as 4.73 × 10^1 = 0.0473 × 10^2.
Now that the exponents are the same, we can subtract the numbers:
6.25 × 10^6 - 0.0473 × 10^6 = (6.25 - 0.0473) × 10^6 = 6.20 × 10^6.
Hence, the answer in scientific notation to two decimal places is 6.20 × 10^6.
Calculate 6.25 × 10^6 - 4.73 × 10^6. Express your answer in scientific notation to 2 decimal places. (1 point)
To subtract these numbers, the exponents (powers of 10) must be the same. In this case, they are both 6.
To find the result, subtract the coefficients:
6.25 - 4.73 = 1.52
Therefore, the result in scientific notation is 1.52 × 10^6 (to two decimal places).
The average distance from Earth to Mars is 2.25 × 10 km, and the distance from Earth to Neptune is 4.3514 × 10° km. How much farther is Neptune from Earth than Mars? Express your answer in scientific notation. Do not round your answer. (1 point)
To find the difference in distance between Neptune and Mars, we subtract the distance to Mars from the distance to Neptune.
4.3514 × 10° km - 2.25 × 10 km
To subtract these numbers, we need to make sure the exponents (powers of 10) are the same. In this case, the exponent for Neptune is ° and the exponent for Mars is 1. To make them the same, we can rewrite the distance to Mars as 2.25 × 10° km.
Now that the exponents are the same, we can subtract the distances:
4.3514 × 10° km - 2.25 × 10° km = (4.3514 - 2.25) × 10° km = 2.1014 × 10° km.
Hence, Neptune is 2.1014 × 10° km farther from Earth than Mars.
Human hair grows at a rate of about 6.849 × 10-4 cm per hour to 2.329 x 10-2 cm per hour. The rate depends on gender, genetics, age, and health. Find the difference between the high end and the low end of the range. Express your answer in scientific notation. Do not round your answer.
To find the difference between the high end and low end of the range, we subtract the low end value from the high end value.
High end value: 2.329 × 10^(-2) cm per hour
Low end value: 6.849 × 10^(-4) cm per hour
Difference = High end value - Low end value
Difference = 2.329 × 10^(-2) cm per hour - 6.849 × 10^(-4) cm per hour
To subtract these numbers, we need to make sure the exponents (powers of 10) are the same. In this case, both numbers have -2 as the exponent. Therefore, we can subtract the coefficients:
2.329 - 6.849 = -4.52
Therefore, the difference between the high end and low end of the range is -4.52 × 10^(-2) cm per hour.
Find 0.078 (5.2 x 10 3). Express your answer in scientific notation. Do not round your answer.
To find the product of 0.078 and 5.2 x 10^3, we multiply the two numbers:
0.078 x (5.2 x 10^3)
To simplify this product, we can multiply the two coefficients (numbers) and add the exponents:
0.078 x 5.2 = 0.4056
10^3 x 10^0 = 10^(3+0) = 10^3
Therefore, the product of 0.078 and 5.2 x 10^3 is 0.4056 x 10^3 in scientific notation.
Find 0.078
(5.2 x 10-3). Express your answer in scientific notation. Do not round your answer. (1 point)
_ ×10-2