Divide a two-digit number by a single digit

### 1.1. Knowledge to remember

**96 : 3 = ?**

Calculate and calculate as follows:

\(\begin{array}{l}

\left. {\underline {\begin{array}{*{20}{c}}

{96}\\

9

\end{array}} } \right|\begin{array}{*{20}{c}}

3\\

\hline

{32}

\end{array}\\

\underline {\begin{array}{*{20}{c}}

{06}\\

{\,\,\,6}

\end{array}} \\

\,\,\,0

\end{array}\)

- 9 divided by 3 get 3, write 3.

3 times 3 equals 9; 9 minus 9 equals 0.

- Lower 6; 6 divided by 3 get 2, write 2.

2×3 = 6; 6 minus 6 equals 0.

### 1.2. Solving Textbook Exercises

**Lesson 1: **Calculate

\(\left. {\begin{array}{*{20}{c}}

{48}\\

{}

\end{array}} \right|\begin{array}{*{20}{c}}

4\\

\hline

{}

\end{array}\) \(\left. {\begin{array}{*{20}{c}}

{84}\\

{}

\end{array}} \right|\begin{array}{*{20}{c}}

2\\

\hline

{}

\end{array}\) \(\left. {\begin{array}{*{20}{c}}

{66}\\

{}

\end{array}} \right|\begin{array}{*{20}{c}}

6\\

\hline

{}

\end{array}\) \(\left. {\begin{array}{*{20}{c}}

{36}\\

{}

\end{array}} \right|\begin{array}{*{20}{c}}

3\\

\hline

{}

\end{array}\)

**Solution guide:**

- Divide the digits of the divisor in turn by the divisor
- Perform the steps of mental division – multiplication – subtraction in each division

\(\begin{array}{l}

\left. {\underline {\begin{array}{*{20}{c}}

{48}\\

4

\end{array}} } \right|\begin{array}{*{20}{c}}

4\\

\hline

{twelfth}

\end{array}\\

\underline {\begin{array}{*{20}{c}}

{08}\\

{\,\,\,8}

\end{array}} \\

\,\,\,0

\end{array}\) \(\begin{array}{l}

\left. {\underline {\begin{array}{*{20}{c}}

{84}\\

8

\end{array}} } \right|\begin{array}{*{20}{c}}

2\\

\hline

{42}

\end{array}\\

\underline {\begin{array}{*{20}{c}}

{04}\\

{\,\,\,4}

\end{array}} \\

\,\,\,0

\end{array}\) \(\begin{array}{l}

\left. {\underline {\begin{array}{*{20}{c}}

{66}\\

6

\end{array}} } \right|\begin{array}{*{20}{c}}

6\\

\hline

{11}

\end{array}\\

\underline {\begin{array}{*{20}{c}}

{06}\\

{\,\,\,6}

\end{array}} \\

\,\,\,0

\end{array}\) \(\begin{array}{l}

\left. {\underline {\begin{array}{*{20}{c}}

{36}\\

3

\end{array}} } \right|\begin{array}{*{20}{c}}

3\\

\hline

{twelfth}

\end{array}\\

\underline {\begin{array}{*{20}{c}}

{06}\\

{\,\,\,6}

\end{array}} \\

\,\,\,0

\end{array}\)

**Lesson 2:** a) Find \(\frac{1}{3}\) of: \(69kg; 36m; 93l\).

b) Find \(\frac{1}{2}\) of: \(24\) hours; \(48\) minutes; \(44\) days.

**Solution guide:**

To find \(\frac{1}{a}\) of the number \(b\) we take \(b:a\).

a) \(\frac{1}{3}\) of \(69kg\) is \(69:3 = 23\,\left( {kg} \right)\)

\(\frac{1}{3}\) of \(36m\) is \(36:3 = 12\,\left( {m} \right)\)

\(\frac{1}{3}\) of \(93l\) is \(93:3 = 31\,\left( {l} \right)\)

b) \(\frac{1}{2}\) of \(24\) is now \(24:2=12\) (hour)

\(\frac{1}{2}\) of \(48\) minutes is \(48:2=24\) (minutes)

\(\frac{1}{2}\) of \(44\) date is \(44:2=22\) (date)

**Lesson 3:** Mom picked it up

oranges, mom gave her \(\frac{1}{3}\) that number of oranges. How many oranges did mom give her?

**Solution guide:**

*Summary*

Picking mother:

$36$Orange

Mother gave her:

Orange ?

*Solution*

Mother gave her the number of oranges:

$\mathrm{twelfth}$

(fruit)

Answer:

$\mathrm{twelfth}$Orange

.

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