Hello, this is Frank.

Well, it’s been a while! I’ve been extremely busy preparing English and Spanish online lesson tests for the 2025 academic year, as well as drafting budget plans for my business consulting work.

The test materials for the online lessons ended up reaching an incredible total of around 3,000 PDF pages, and I’ve completed all the tests scheduled through March 2026. I tend to charge straight ahead once I set my mind to something, so I hope you’ll understand!

Starting today, I’ll be studying math again, using “Mō Ichido Kōkō Sūgaku” as a reference.

Since I’m not exactly confident in math, I’ll be sticking to the core topics outlined in the book. I’ll explain the content in my own simplified terms, so I hope you won’t mind.

Reference Book: “Mō Ichido Kōkō Sūgaku” by Kazuo Takahashi, Nihon Jitsugyō Publishing Co., Ltd.

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Review of Number Terminology:
1. Natural numbers (counting number; natural number; non-negative integer) – positive integers
2. Integers (integer; regular number; whole number) – including 0, ±1, ±2, etc.
3. Fractions (common fraction [numerator and denominator are both integers];
fraction [includes both common fractions and decimal fractions]; vulgar fraction = common fraction)
4. Terminating decimal
5. Repeating (recurring) decimal
6. Rational numbers (rational; a rational number)
7. Irrational numbers (irrational; an irrational number)
8. Real numbers (real; a real number)
9. Imaginary numbers (imaginary; an imaginary number)
10. Complex numbers (complex number [includes both real and imaginary numbers])

I started with Exercise 1, which covers how to simplify repeating decimals and convert them into fractions—for example, 1.235235235… I’m happy to say I got both of the sample questions right.

The part “235235235…” is called the recurring period; repetend [répitènd].

In addition to the ten number types listed above, the word prime (a prime number) also comes up often in math, so I’ll make sure to remember that as well.

A prime number is a natural number that has no divisors other than 1 and itself. Note that 1 is not a prime number.

Thank you for reading today.

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