Final answer:
The division of 735.75 by 7.5 gives the result 98.1. This result is obtained by simplifying the division and applying long division, ensuring the answer maintains the correct number of significant figures.
Step-by-step explanation:
The result of the division of 735.75 by 7.5 can be calculated by performing the division operation either manually or by using a calculator. When we divide 735.75 by 7.5, we get 98.1 as the result. It's important to note that we round to the nearest tenth since both the divisor and dividend are given to the tenths place, maintaining consistency with the number of significant figures.
Here is a step-by-step breakdown to calculate this division using long division:
- First, simplify the division by removing the decimal point. To do this, multiply both the dividend and the divisor by 10 (to shift the decimal one place to the right), resulting in 7357.5 ÷ 75.
- Now perform the long division of 7357.5 by 75.
- The result is 98.1, which corresponds to option (b).