Final answer:
The calculation given does not match the answer choices provided; thus, there may be a typographical error in the question. The proper scientific notation and significant figures could be key, yet the given calculation results in 1.131, which does not align with the provided options.
Step-by-step explanation:
The expression given is: ((2 × 100) + (7 × 1) + (2 × 10) + (9 × 100) + (4) ÷ 1000). To solve it, first, evaluate each multiplication, then sum the results and finally divide by 1000:
- (2 × 100) = 200
- (7 × 1) = 7
- (2 × 10) = 20
- (9 × 100) = 900
Adding these together gives us 200 + 7 + 20 + 900 = 1127. Then we add the 4 which was not multiplied by anything, resulting in 1127 + 4 = 1131. Finally, we divide by 1000:
1131 ÷ 1000 = 1.131
This number does not match any of the answer choices since these have three digits after the decimal, so it suggests a possible mistake in the question or the answer choices. If the expression was meant to be represented correctly, the numbers after the decimal should be considered, for example, (37 ÷ 217). Using a calculator, as per the added reference, you would get a number with more digits after the decimal and need to apply rounding rules. The correct calculation and rounding method should lead you to one of the given answer choices if typed correctly.
The proper scientific notation for expressing numbers is given by examples in several exercises referenced, specifying the need for correct significant figures and rounding.