This document contains step-by-step workings and solutions for factorizing and developing several mathematical expressions. It shows the factorizations of 14 × 101, 25 × 102, and 60 × 99. It also shows the developments of the expressions 9.4 × 2 + 9.4 × 8 and 37 × 18 - 37 × 8. The document provides the full calculations and solutions to these examples.

1. Calcul mental
N°11
“développer et factoriser”

2. Diapositive 1Diapositive 1
14 × 101

4. Diapositive 2Diapositive 2
25 × 102

6. Diapositive 3Diapositive 3
60 × 99

8. 9,4 × 2 + 9,4 × 8
Diapositive 4Diapositive 4

10. 37 × 18 - 37 × 8
Diapositive 5Diapositive 5

12. FIN

13. CORRECTION

14. Diapositive 1Diapositive 1
14 × 101 = 14 × (100+1)
=14 × 100 + 14 × 1
=1400 + 14 = 1414

15. 25 × 102 = 25 × (100+2)
=25 × 100 + 25 × 2
=2500 + 50 = 2550
Diapositive 2Diapositive 2

16. 60 × 99 = 60 × (100 - 1)
=60 × 100 - 60 × 1
=6000 – 60 = 5940
Diapositive 3Diapositive 3

17. 9,4 × 2 + 9,4 × 8
= 9,4 × (2 + 8)
= 9,4 × 10 = 94
Diapositive 4Diapositive 4

18. 37 × 18 - 37 × 8
= 37 × (18 - 8)
= 37 × 10 = 370
Diapositive 5Diapositive 5