Final answer:
The given mathematics problem requires following the BIDMAS or PEDMAS order of operations to be evaluated. Perform the division and subtraction in brackets first, then divide 2 by 9, and finally, multiply the results. The final approximate answer is 0.1555.
Step-by-step explanation:
In Mathematics, the correct order of operations is often represented by the acronym BIDMAS or PEDMAS, which stands for Brackets, Indices/Exponents, Division and Multiplication (from left to right), Addition and Subtraction (from left to right). By remembering this acronym, we can properly evaluate the given expression. So the expression 2/(9)(7/5-7/10) needs to be solved in the following way:
- First, solve the calculations inside the brackets, i.e., perform the division:7/5=1.4 and 7/10=0.7
- Subtract the result: 1.4 - 0.7 = 0.7
- Next, divide 2 by 9: 2/9=0.2222
- Last, multiply the results from step 2 and 3: 0.2222 * 0.7 = 0.1555 (approximately).
Learn more about Order of Operations