Math

When you click in the answer box, a blue answer tip may appear which gives instructions on what kind of answers are acceptable. It may indicate that the answer should be entered as a whole number, mathematical expression, decimal, fraction, algebraic expression, interval, list, etc. Example tip: Enter a mathematical expression The blue answer tip might also give examples of possible entries as well as special instructions for certain cases. Click on [more] to see that information before you submit your answer. Example tip: Enter your answer as an integer or decimal number. Examples 3, -4, 5.5172, Enter DNE for Does Not Exist or oo for Infinity. Generally, if you are entering a decimal answer, it should contain 4 significant digits (e.g. 2.718 or 12.34) to get 0.1% precision, unless otherwise specified in the exercise. If the answer tip says to enter a "mathematical expression", you can enter an answer like or 1.414, but unless it's the exact answer, 1.41 would generally not be accepted. Let's review What type of answer is the box below expecting according to the blue answer tip below the box? $Example tip: Enter a mathematical expression The box accepts Select an answer Which of the following would be acceptable answer formats according to the expanded answer tip below? Example tip: Enter your answer as an integer or decimal number. Examples 3, -4, 5.5172, Enter DNE for Does Not Exist or oo for Infinity. 1/7 1 - 6/7 0.1429 DNE 0.14

Step-by-step solution with explanation

Final Answer

Q1: The box accepts a **mathematical expression** (exact forms or precise decimals like 1.414). Q2: Acceptable answers from the list are **0.1429** and **DNE** only. (1/7, 1 - 6/7, and 0.14 are not acceptable formats for that tip.)

Step-by-step solution

1

Read the first answer tip carefully

The first blue tip says the box expects 'a mathematical expression.' This means you can type things like square roots, fractions written with symbols, or decimals with enough digits.
2

Identify what 'mathematical expression' accepts

A mathematical expression allows exact forms like square roots or precise decimals. A rounded decimal like 1.41 (only 3 significant digits) would NOT be accepted because it lacks enough precision.
3

Read the second expanded answer tip

The second tip says: enter an integer or decimal number. Examples given are 3, -4, 5.5172. Special entries: DNE for Does Not Exist, oo for Infinity.
4

Check each option against the second tip

The tip asks for an integer or decimal (not a fraction or expression). So 1/7 and 1 - 6/7 are fractions/expressions, not plain decimals or integers. 0.1429 has 4 significant digits — acceptable. DNE is explicitly listed — acceptable. 0.14 has only 2 significant digits — not enough precision, not acceptable.
5

Finalize acceptable answers for both questions

For question 1, the box accepts mathematical expressions. For question 2, only 0.1429 and DNE are acceptable from the list given.

Understanding this problem

Learning Insight

Answer boxes in online math systems are picky about format because they use exact matching or precision checks. Knowing the difference between a 'mathematical expression' and an 'integer or decimal' helps you avoid losing points on correct math entered in the wrong format.

Quick Tip

When a tip says 'decimal,' count your significant digits — 4 is the standard minimum. When it says 'mathematical expression,' you can use symbols like √ or fractions.

Common Mistake

Students often enter 0.14 thinking it's close enough, but 2-digit decimals fail the 4-significant-digit precision requirement — always carry at least 4 significant figures in your decimal answer.