Name: [tex]$\quad$[/tex]
Date: [tex]$\quad$[/tex]

Fill in the correct numbers:

1. [tex]$7 \times 13 = 7 \times (3 + 10)$[/tex]

2. [tex]$9 \times 11 = 9 \times (\_ + 1)$[/tex]

3. [tex]$11 \times 15 = 11 \times (\ldots + 10)$[/tex]

4. [tex]$12 \times 12 = 12 \times (10 + \qquad)$[/tex]



Answer :

Let's fill in the correct numbers step by step:

2. For the equation [tex]\(9 \times 11 = 9 \times \left(\_+1\right)\)[/tex]:
We know that [tex]\(9 \times 11\)[/tex] can be expressed using a factor that plus 1 gives 11. Hence, [tex]\(11 - 1 = 10\)[/tex].
Therefore, [tex]\(9 \times 11 = 9 \times (10 + 1)\)[/tex].

3. For the equation [tex]\(11 \times 15 = 11 \times (\ldots + 10)\)[/tex]:
We know that [tex]\(11 \times 15\)[/tex] can be expressed using a factor that plus 10 gives 15. Hence, [tex]\(15 - 10 = 5\)[/tex].
Therefore, [tex]\(11 \times 15 = 11 \times (5 + 10)\)[/tex].

4. For the equation [tex]\(12 \times 12 = 12 \times (10 + \quad )\)[/tex]:
We know that [tex]\(12 \times 12\)[/tex] can be expressed using 10 plus a factor that gives 12. Hence, [tex]\(12 - 10 = 2\)[/tex].
Therefore, [tex]\(12 \times 12 = 12 \times (10 + 2)\)[/tex].

So, filling in the blanks:

2. [tex]\(9 \times 11 = 9 \times (10 + 1)\)[/tex]
3. [tex]\(11 \times 15 = 11 \times (5 + 10)\)[/tex]
4. [tex]\(12 \times 12 = 12 \times (10 + 2)\)[/tex]

These equations now hold true with the numbers correctly filled in.