Calculating the Product of Two Scientific Notation Numbers
Explanation:
To calculate the product of 6.626 à 10â»Â³â´ J · s and 2.9979 à 10⸠m/s, we need to multiply these two values. The multiplication of numbers in scientific notation involves multiplying the numbers and adding the exponents of 10.
Let's calculate it step by step:
Multiply the significant figures: 6.626 Ã 2.9979 = 19.8675094.
Add the exponents of 10: (-34) + (8) = -26.
Combine to create the final answer in scientific notation: 19.8675094 à 10â»Â²â¶.
Since the answer should be in normalized scientific notation (where the significant figure is between 1 and 10), we adjust the significant figures to two decimal places and adjust the exponent accordingly to get 1.987 à 10â»Â²âµ J · m/s. Rounding this off matches it to the answer choice of 1.986 à 10â»Â²âµ J · m/s given.