No. Algebra is not arithmetic and arithmetic is not algebra. They are two branches of mathematics, which are closely related in some respects.
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No, algebra is not arithmetic. While both algebra and arithmetic involve numbers and mathematical operations, algebra is a branch of mathematics that goes beyond the basic arithmetic operations (addition, subtraction, multiplication, and division) to include variables, equations, and abstract mathematical concepts.
Sure. There are other applications of arithmetic, but algebra without arithmetic is impossible. A broad knowledge of arithmetic is essential for mastery of algebra.
arithmetic
Arithmetic, algebra
The study of algebra is commonly referred to as arithmetic. This is a branch of mathematics which is a broad science.
Of course. Formulas are not encountered until the student progresses from arithmetic to algebra.