Question

choose the correct answer.
the key words “remainder, factor, integrate, slope” belong to the field of __________.
○ chemistry
○ astronomy
○ math
○ physics

Explanation:

• "Remainder" is related to division in mathematics. For example, when \(a = bq + r\) (\(0\leq r\lt b\)), \(r\) is the remainder.
• "Factor" is used in algebra (e.g., factoring polynomials \(ax + bx=x(a + b)\)) and number - theory (e.g., factors of a number \(n\)).
• "Integrate" is a key operation in calculus, which is a branch of mathematics. The integral \(\int f(x)dx\) is used to find the area under a curve, among other applications.
• "Slope" is a fundamental concept in coordinate - geometry (a part of mathematics). For a line \(y=mx + c\), \(m\) is the slope, calculated as \(m=\frac{y_2 - y_1}{x_2 - x_1}\) for two points \((x_1,y_1)\) and \((x_2,y_2)\) on the line.

Answer:

math