Вправи: 569

569. Спростіть вираз:

1) 45- 4,510-1 = 4,5•10- 4,510-1 = 4,5(10-1)10-1 = 4,5;

2) 48+ 226+1 = 8•6+ 86+1 = 8(6+1)6+1 = 8;

3) 3- 270,12+ 3 = 3- 9•30,04•3+3 = 3- 330,23+3 = 3(1-3)3(0,2+1) = -21,2 = –2012 = –53 = –123;

4) 225+ 2625169 = 15+2 •2513 = 6513 = 5;

5) 0,3-0,61- 2 = 0,3-0,3•21- 2 = 0,3(1- 2)1- 2 = 0,3;

6) 4,41- 22,1+ 1 1- 2,1 = (2,1)2- 22,1 •1+ 121- 2,1 = (2,1-1)21- 2,1 = (1- 2,1)21- 2,1 = 1 – 2,1.

7) 1,44+ 23,6+ 33+ 20,3 – 0,47,5 = (1,2)2+ 2• 3 • 1,2+ (3)23+ 1,2 – 0,16•7,5 = (1,2+ 3)23+ 1,2 – 1,2 = 1,2 + 3 – 1,2 = 3;

8) 2\5-265+26 + 2\5+265-26 = 10-46+ 10+465+26(5-26) = 2025-(26)2 = 2025-24 = 201 = 20;

9) 5+ 115 – 1\53 = 5+ 1- 515 = 115;

10) 1\8-278+27 + 1\8+278-27 = 8-27+ 8+278+27(8-27) = 1664-(27)2 = 1664-28 = 1634 = 49.