Comprehensive Study Notes on Hebrew Number Names and Prepositional Usage Letters

Pedagogical Approach and Introduction to the GOOL Study Guide

The GOOL exercise book is a culmination of extensive pedagogical experience in teaching Hebrew language and preparing students for the matriculation (Bagrut) exams for $2$ study units. The material is structured to reflect the current Ministry of Education curriculum, addressing common student errors and frequently asked questions to illuminate the correct path for examinees. The methodology of this guide emphasizes the critical importance of practice, offering a vast array of exercises. Solutions are provided via video with voice explanations to simulate a private lesson environment, fostering a systematic and simple understanding of the material. Each solution is designed to guide the student toward a correct way of thinking when encountering similar questions. The core goal is for this book to serve as a roadmap to success for Hebrew language students.

Chapter 2: The Number Name (Shem HaMispar) - Definitions and Classification

Shem HaMispar refers to the names of numbers, such as 'one' ($\text{achat}$), 'twelve' ($\text{shteym esre}$), or 'the fourth' ($\text{harevi'i}$). Within this category, specific types of numbers are defined:

Cardinal Number (Mispar Mone): A number indicating a total quantity of items, such as 'four rabbits' ($\text{arba'a arnavonim}$) or 'one hundred and two students' ($\text{mea u'shteym talmidot}$).

Gender (Min): In Hebrew, numbers must agree with the gender of the noun. Objects like a furnace ($\text{tanur}$) are male, while a pillow ($\text{karit}$) is female.

The Fundamental Rules of Cardinal Numbers (Mispar Mone)

The primary rule of Hebrew numbers is their counter-intuitive gender agreement. For the digits $1$ through $10$, the unit digit adapts to the gender of the counted noun but in a reversed manner compared to normal adjectives. A male noun receives a number ending in the letter '$H$' ($\text{ה}$), whereas a female noun receives a number without this ending. For example, 'three boys' is ($\text{shlosha yeladim}$) and 'four girls' is ($\text{arba yeladot}$).

This principle remains valid for the unit digit in all numbers from $3$ to $10$ (e.g., thirteen boys is $\text{shlosha asar yeladim}$, while thirteen girls is $\text{shlosh esre yeladot}$). In the numbers $11$ to $19$, male numbers take the suffix '$-asar$' ($\text{עשר}$), and female numbers take the suffix '$-esre$' ($\text{עשרה}$). Specific gender markers for low numbers include: Male ($\text{echad}$, $\text{shnayim}$, $\text{achad asar}$, $\text{shneym asar}$) and Female ($\text{achat}$, $\text{shtayim}$, $\text{achat esre}$, $\text{shteym esre}$).

Regarding higher orders of magnitude: Hundreds ($\text{me'ot}$) are always female, while Thousands ($\text{alafim}$), Millions ($\text{milyonim}$), and any higher numbers are always male.

Identifying Noun Gender and the 'Adjective Rule'

To correctly apply the number name, one must accurately identify the gender of the noun. The 'Adjective Rule' states that the gender is best identified by the adjective typically attached to it: 'a big pencil' ($\text{iparon gadol}$) is male, whereas 'a white dove' ($\text{yona levana}$) is female. It is recommended to use the adjectives 'first' or 'first female' ($\text{rishon/rishona}$) to check. There is a specific mnemonic, ETZEM DAG ($\text{עצ"ם ד"ג}$), for identifying several nouns that are specifically male: Pen ($\text{Et}$), Junction ($\text{Tzomet}$), Lighter ($\text{Matzit}$), Commandments ($\text{Dibrot}$), and Sock ($\text{Gerev}$).

When a noun phrase appears, the number name refers to the first word immediately following it. For instance, 'three bank clerks' would be ($\text{shalosh pekidot bankim}$), where the number agrees with 'clerks' ($\text{pekidot}$, female).

The Counted Noun and the Construct State (Smikhut)

The counted noun (Shem Ha'etzem HaNispar) can always be written in the plural form (e.g., $5$ shekels or $40$ girls). However, for quantities of $11$ and above, the counted noun may also be written in the singular form (e.g., $14$ shekel or $40$ boy).

When using the cardinal number in a construct state (Smikhut), which often occurs before a noun with the definite article ($\text{h-\text{ה}}$), minor changes occur. The most prominent change is that the '$H$' ($\text{ה}$) suffix in male numbers converts to a '$T$' ($\text{ת}$), such as in 'the eight puppies' ($\text{shmonat haklavlavim}$). This rule applies only to numbers $1-10$. Additionally, a possessive suffix is treated as a definite article (e.g., 'your cat' is 'the cat of you', so 'your eight cats' becomes $\text{shmonat chatulecha}$). Also, the mention of thousands is always written in the construct state (e.g., $\text{shmonat alafim}$, $\text{chameshet alafim}$).

Ordinal Numbers (Mispar Sodor) and Nominal Numbers (Mispar Stami)

An ordinal number indicates the position of an item in a series, such as 'the second rabbit' or 'the thirty-sixth student.' These numbers always appear after the counted noun. For numbers $11$ and above, the ordinal number is written exactly like the cardinal number (one must not write 'the twenty-fifth' in an ordinal-specific format). The gender of the ordinal number is determined by the first word of the noun it counts.

A nominal number (Mispar Stami) is the name of the number itself when it is not counting anything (e.g., 'two plus two equals four'). Nominal numbers are always written in the female form ($\text{chamesh}$, $\text{shlosh esre}$). Any number preceded by the word 'number' ($\text{mispar}$) is a nominal number (e.g., 'page number $3$', 'house number $41$'). Even if the word 'number' is not explicit but can be added, it is still treated as nominal (e.g., Page $3$, Line $6$, Room $218$).

Chronological and Mathematical Contexts

Specific rules apply to various contexts:

1. Years: A year is always female (e.g., the year sixty-three B.C.E.).
2. Age: Age is always female (e.g., 'the boy reached age five', where five is feminine).
3. Dates: Dates within a month count days, and because the word 'day' is male, dates are always male cardinal numbers (e.g., Ninth of Av, Tenth of Tevet, Fifth of November, Second of January).

Mathematical rules include:

1. Multipliers: After the word 'Pi' ($\text{פי}$, meaning 'times'), the number must be male (e.g., $Pi 6$, $Pi 23$).
2. Percentages: Percentages are always male (e.g., $5$ percent, $41$ percent).
3. Fractions: Fractions are generally female ($5/7$, $10/22$).
4. Exceptions: The terms 'half' ($\text{chetzi}$), 'third' ($\text{shlish}$), and 'quarter' ($\text{reva}$) are male (e.g., two thirds, three quarters).

Usage Letters: Otiyot Ve-Kalav (וכל"ב)

Hebrew uses specific letters to indicate relationships between words. These are Vav ($\text{ו}$), Kaf ($\text{כ}$), Lamed ($\text{ל}$), and Bet ($\text{ב}$). Examples include: 'pepper AND tomato' (Vav), 'fast AS a tiger' (Kaf), 'flight TO Eilat' (Lamed), and 'drives BY motorcycle' (Bet).

Generally, these letters are vocalized with a Shva Na (pronounced like 'e'). However, changes occur based on the first letter of the word they are attached to. The letter Vav ($\text{ו}$) originates from the lips. When it precedes another labial consonant (BUMF: Bet, Vav, Mem, Pe), it is vocalized as a Shuruk (sound 'U'), such as in 'quiet AND strange' ($U'muzar$).

If a word already starts with a Shva, two Shvas cannot appear consecutively at the beginning of a word. In this case, Kalav letters ($\text{כ, ל, ב}$) take a Chiriq (sound 'i'), such as in 'to a different time' ($L'izman$) or 'as eight crows' ($K'ishmone$). For the letter Vav in this scenario, it changes to a Shuruk ($U're'amim$).

Special vocalization occurs before the letter Yod ($\text{י}$) with a Shva: all usage letters take a Chiriq, and the Shva under the Yod disappears (e.g., 'to Jerusalem' becomes $L'iyrushalayim$). Before a Chataf vowel, the usage letters receive the corresponding vowel of the Chataf without its Shva (e.g., 'and defense' becomes $V'hagana$). In cases of multiple usage letters, they are vocalized from right to left (left to right from the perspective of their attachment sequence).

The 'Lazy Student' Rule: Explosion of Clusters

A simplified rule for the matriculation exam is the 'Explosion of Clusters.' A 'cluster' is defined as two consecutive Shvas or two labial consonants (BUMF) at the start of a word. The rule states that in questions regarding Otiyot Ve-Kalav, any option containing such a cluster at the beginning of the word is automatically incorrect. For example, 'to the siren' ($L'tzfira$) is correct while ($Le-tzfira$) is incorrect; ($U'ma'ader$) is correct while ($Ve-ma'ader$) is incorrect. This provides a quick method to eliminate wrong answers in exam conditions.