Answered

Connect with knowledgeable individuals and get your questions answered on IDNLearn.com. Ask your questions and receive comprehensive and trustworthy answers from our experienced community of professionals.

Fill in the blanks.

1. [tex]13 \times (26 + 45) = 13 \times 26 + 13 \times 45[/tex]

2. [tex](57 + 82) \times 64 = (57 \times 64) + (82 \times 64)[/tex]

3. [tex]93 \times 102 = 93 \times (100 + 2) = 93 \times 100 + 93 \times 2[/tex]

4. [tex]\ \textless \ br/\ \textgreater \ \begin{aligned}\ \textless \ br/\ \textgreater \ 99 \times 76 & = (100 - 1) \times 76 \\\ \textless \ br/\ \textgreater \ & = (100 \times 76) - (1 \times 76) \\\ \textless \ br/\ \textgreater \ & = 7600 - 76 \\\ \textless \ br/\ \textgreater \ & = 7524\ \textless \ br/\ \textgreater \ \end{aligned}\ \textless \ br/\ \textgreater \ [/tex]

5. [tex]\ \textless \ br/\ \textgreater \ \begin{aligned}\ \textless \ br/\ \textgreater \ 112 \times 998 & = 112 \times (1000 - 2) \\\ \textless \ br/\ \textgreater \ & = (112 \times 1000) - (112 \times 2) \\\ \textless \ br/\ \textgreater \ & = 112000 - 224 \\\ \textless \ br/\ \textgreater \ & = 111776\ \textless \ br/\ \textgreater \ \end{aligned}\ \textless \ br/\ \textgreater \ [/tex]

Sagot :

GinnyAnsweridn
Let's carefully fill in the blanks step-by-step for each section.

### 1) [tex]\( 13 \times (26 + 45) = \)[/tex]
- Expression: [tex]\( 13 \times (26 + 45) \)[/tex]
- [tex]\( \quad (13 \times 26) + (13 \times 45) \)[/tex]
- We have: [tex]\( x26 + 13 \times \square ) \)[/tex]
- Thus, [tex]\( 13 \times (26 + 45) = (13 \times 26) + (13 \times 45) \)[/tex]

### 2) [tex]\( (57 + 82) \times 64 = \)[/tex]
- Expression: [tex]\( (57 + 82) \times 64 \)[/tex]
- [tex]\( \quad (57 \times 64 ) + ( 82 \times 64) \)[/tex]
- Fill in: [tex]\( (57 \times \quad \square ) + ( \square \times 64) \)[/tex]
- Thus, [tex]\( (57 + 82) \times 64 = (57 \times 64) + (82 \times 64) \)[/tex]

### 3) [tex]\( 93 \times 102 = \)[/tex]
- Expression: [tex]\( 93 \times 102 \)[/tex]
- [tex]\( \quad 93 \times (100 + 2) \)[/tex]
- Fill in: [tex]\( \quad 93 \times (100 + \square) \)[/tex]
- That implies, [tex]\( \quad 93 \times (100 + 2) \)[/tex]
- Breaking down: [tex]\( 93 \times 100 + 93 \times 2 \)[/tex]
- Thus, [tex]\( 93 \times 102 = 93 \times 100 + 93 \times 2 \)[/tex]

### 4) [tex]\( 99 \times 76 = \)[/tex]
- Expression: [tex]\( 99 \times 76 \)[/tex]
- [tex]\( (100 - 1) \times 76 \)[/tex]
- Fill in: [tex]\( \quad (100 - \square) \times 76 \)[/tex]
- That should be: [tex]\( \quad (100 - 1) \times 76 \)[/tex]
- Breaking down: [tex]\( 100 \times 76 - 1 \times 76 \)[/tex]
- Thus, [tex]\( 99 \times 76 = (100 \times 76) - (1 \times 76) \)[/tex]

### 5) [tex]\( 112 \times 998 = \)[/tex]
- Expression: [tex]\( 112 \times 998 \)[/tex]
- Breaking down: [tex]\( 112 \times (1000 - 2) \)[/tex]
- Fill in: [tex]\( 112 \times (\ldots - \square) \)[/tex]
- Completing: [tex]\( 112 \times (1000 - 2) \)[/tex]
- Expanding: [tex]\( (112 \times 1000) - (112 \times 2) \)[/tex]
- Thus:
[tex]\[ \begin{aligned} 112 \times 998 &= 112 \times (1000 - 2) \\ &= (112 \times 1000) - (112 \times 2) \\ &= 111776 \end{aligned} \][/tex]

### Summary of the steps:

1. [tex]\( 13 \times (26 + 45) = (13 \times 26) + (13 \times 45) \)[/tex]

2. [tex]\( (57 + 82) \times 64 = (57 \times 64) + (82 \times 64) \)[/tex]

3. [tex]\( 93 \times 102 = 93 \times (100 + 2) = 93 \times 100 + 93 \times 2 = 94 + 189 \)[/tex]

4. [tex]\( 99 \times 76 = (100 - 1) \times 76 = (100 \times 76) - (1 \times 76) \)[/tex]

5. [tex]\( 112 \times 998 = 112 \times (1000 - 2) = (112 \times 1000) - (112 \times 2) = 111776 \)[/tex]
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. IDNLearn.com has the solutions you’re looking for. Thanks for visiting, and see you next time for more reliable information.