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http://matematicasparatodos.sev.gob.mx/ mailto:matematicasparatodos@msev.gob.mx 𝒎 𝟐𝒏 2 8 4 2 3 3 5 5 8 4 𝟏 𝟖 𝟒 . 𝟒 1 4 1 8 𝟏𝟔 8 32 𝟐, 𝟒, 𝟖, 𝟏𝟔 𝟑𝟐 𝟑, 𝟔 𝟏𝟐 8 2 4 8 4 8 2 8 3 4 7 8 3 4 15 16 2 4 2 4 6 2 8 2 2 8 4 4 𝟐 𝟖 𝟏 𝟒 2 8 2 8 𝟐 𝟖 2 6 2 2 6 1 3 2 6 2 6 2 6 1 3 1 3 𝟐 𝟔 𝟐 𝟔 𝟏 𝟑 8 4 8 12 6 6 16 8 𝒎 𝟐𝒏 𝟏 𝟏 𝟐 𝟒 2 𝟏 𝟐 4 1 4 𝟏 𝟒 8 𝟏 𝟖 16 𝟏 𝟏𝟔 1 8 1 2 𝟏 𝟐 𝟐 𝟒 𝟐 𝟖 1 4 2 𝟐 𝟒 𝟒 𝟖 𝟐 𝟒 𝟖 𝟏 𝟐 = 𝟐 𝟒 2 1 2 8 2 4 8 3 20 1 4 15 10 5 8 1 2 4 1 3 6 8 1 4 4 3 2 5 5 1 4 4 1 𝟏 𝟒 8 𝟏 𝟒 𝟏 𝟒 𝟏 𝟒 𝟐 𝟖 𝟏 𝟒 𝟐 𝟖 . 3 2 4 2 3 2 3 + = 𝟑 𝟐 𝟑 𝟐 = 𝟏 𝟏 𝟐 4 𝟑 𝟐 + = 𝟔 𝟒 𝟑 𝟐 𝟔 𝟒 𝟑 𝟐 𝟔 𝟒 . 9 8 16 8 9 9 𝟗 𝟖 = 𝟏 𝟏 𝟖 16 𝟗 𝟖 𝟗 𝟖 𝟏𝟖 𝟏𝟔 4, 8, 16 𝑜 32 1 2 13 8 3 4 2 2 5 4 1 4 3 2 9 4 3 8 3 2 6 8 10 16 2 4 1 1 4 3 2 1 16 7 4 1 4 5 16 2 3 8 4 𝟏 𝟐 𝟑 𝟒 𝟒 5 8 𝟏 5 8 40 1 𝟏 5 8 40 𝟐 𝟑 𝟒 6 𝟏 11 × 8 11 = 10 + 1 8 × 10 = 80 8 × 1 = 8 80 + 8 88 𝟐 𝟑 𝟒 𝟓 𝟖 𝟖 𝟓 𝟏 14 × 12 14 = 10 + 4 12 × 10 = 120 12 × 4 = 48 120 + 48 168 𝟐 11 × 13 𝟑 10 × 15 𝟒 12 × 16 𝟐𝟏𝟑 × 𝟓𝟏𝟒 1 100 𝟏𝟐 𝟒 × 𝟑 𝟑 × 𝟒 𝟔 × 𝟐 𝟐 × 𝟔 𝟏𝟐 × 𝟏 𝟑𝟔 𝟑𝟎 𝟒𝟓 𝟒𝟎 𝟐𝟎 𝟐𝟖 𝟐𝟓 × 𝟖 × 𝟏𝟎 × 𝟏𝟔 × 𝟑𝟓 × 𝟏𝟎𝟎 3 18 $35 23 𝟐𝟎 × 𝟔 = 𝟓𝟎𝟎 × 𝟖 = 𝟖𝟑 × 𝟏𝟎𝟎 = 𝟕 × 𝟕𝟎 = 𝟑𝟎 × 𝟐 = 𝟐𝟎𝟎 × 𝟖 = 𝟒𝟒 × 𝟏𝟎 = 𝟏𝟎 × 𝟏𝟎𝟎 = 𝟗𝟐 × 𝟏𝟎 = 𝟑𝟎 × 𝟕 = 12 × 15. 10 2 10 2 15 𝟏𝟓𝟎 + 𝟑𝟎 = 𝟏𝟖𝟎 𝟏𝟐 × 𝟏𝟓 = 𝟏𝟖𝟎. Factor A 𝟏𝟐 Factor B 𝟏𝟓 𝟏𝟐 𝟏𝟎 + 𝟐 𝟏𝟐 𝟏𝟎 + 𝟐 𝟏𝟓 𝟏𝟎 × 𝟏𝟓 𝟐 × 𝟏𝟓 𝟏𝟓𝟎 𝟑𝟎 14 × 7 10 4 𝟕𝟎 + 𝟐𝟖 = 𝟗𝟖 𝟏𝟒 × 𝟕 = 𝟗𝟖 Factor A 𝟏𝟒 Factor B 𝟕 𝟏𝟒 𝟏𝟎 + 𝟒 𝟏𝟒 𝟏𝟎 + 𝟒 𝟕 𝟏𝟎 × 𝟕 𝟒 × 𝟕 𝟕𝟎 𝟐𝟖 16 × 5 = 15 × 7 = 18 × 8 = 11 × 15 = 12 × 13 = 14 × 8 = 26 × 9 = 13 × 4 = 16 × 5 = 12 × 18 = 21 × 12 = 13 × 7 = 22 × 11 = 9 × 12 = 21 × 8 = 22 × 7 = 31 × 7 = 19 × 7 = 32 × 8 = 9 × 37 = 12 20 24 8 6 12 3 20 2 24 4 8 2 6 2 4 12 4 2 4 2 3 6 3 𝟏𝟐 𝟓 𝟐𝟎 𝟓 𝟎 𝟐𝟒 𝟓 𝟐𝟒 ÷ 𝟓 𝟖 𝟓 𝟔 𝟓 𝟏𝟐 2 ← ⟶ 5 12 ← 2 ← ÷ 12 ÷ 5 = 2 6 30 6 5 15 10 18 9 9 6 3 2 ÷ = ÷ = 36 4 𝟑𝟔 ÷ 𝟒 = 𝟒 𝟒 ÷ = ÷ = 25 4 25 4 4 4 25 24 1 𝟐𝟓 𝟒 𝟔 𝟐𝟓 ÷ 𝟒 = 𝟔 𝟏 4 8 12 16 20 24 6 + 6 + 6 + 6 = 24 1 24 1 = 25 23 3 23 3 3 𝟐𝟑 ÷ 𝟑 3 23 21 2 𝟐𝟑 𝟑 𝟕 𝟐𝟑 ÷ 𝟑 = 𝟕 𝟐 3 6 9 12 15 18 21 7 + 7 + 7 = 21 2 21 2 = 23 43 ÷ 4 = 26 ÷ 5 = 65 ÷ 3 = 27 ÷ 2 = 34 ÷ 4 = 25 ÷ 2 = 16 ÷ 3 = 32 ÷ 8 = 32 ÷ 5 = 11 ÷ 2 = 43 ÷ 5 = 54 ÷ 9 = 60 ÷ 10 = 27 ÷ 9 = 33 ÷ 6 = 76 ÷ 6 = 88 ÷ 4 = 95 ÷ 6 = 49 ÷ 4 = 38 ÷ 7 = 4. ° 7 $1000 5 $100 2 $1 2 $1000 7 $100 5 $10 4 $1000 4 $10 𝟐 𝟖 $𝟏𝟎𝟎𝟎 𝟐 $𝟏𝟎𝟎 𝟏𝟐 $𝟏 $𝟒𝟎𝟒𝟎 $𝟐𝟕𝟓𝟎 $𝟕𝟓𝟎𝟐 $𝟏𝟎𝟎𝟎 $𝟏𝟎𝟎 $𝟓𝟎𝟎 $𝟐𝟎 𝟏 𝟏 𝟏 Del 𝟏 al 𝟗 𝟏𝟎 10 10 0 9 𝟐 𝟏 𝟒 𝟓 1 2 7 5 2 0 5 0 7 2 2705 2750 7 2 > < > < 𝟕𝟓𝟎𝟐 > 𝟐𝟕𝟎𝟓 𝟐𝟕𝟎𝟓 < 𝟐𝟕𝟓𝟎 𝟑 𝟐 𝟏 𝟎 𝟎 𝟑 𝟒 𝟓 𝟎 𝟗 𝟑 𝟎 𝟗 𝟑 𝟐 𝟎 𝟓 𝟖 𝟒 𝟖 𝟐 𝟒 𝟏 𝟖 𝟔 𝟎 𝟔 𝟑 𝟐 𝟎 𝟑 𝟐 𝟎 𝟒 𝟐 𝟕 197 30 462 125 646 222 297 53 188 36 1 094 125 301 29 1 748 180 605 87 1 487 408 211 28 470 80 1 899 150 407 38 761 122 763 65 1 498 588 690 148 530 83 770 93 1 035 335 904 80 1 329 58 902 132 1 063 200 281 73 1 342 233 2 048 161 2 289 240 485 58 1 283 296 576 69 28 761 4 629 3893 y 3793, ¡𝟖 𝟕 𝟑 8 9 3 𝟑 7 9 3 𝟑 𝟖 9 3 𝟑 𝟕 9 3 5870 y 5876, 𝟎 𝟔 𝟑𝟖𝟗𝟑 𝟑𝟕𝟗𝟑 𝟓 8 7 0 𝟓 8 7 6 𝟓 𝟖 𝟕 𝟎 𝟓 𝟖 𝟕 𝟔 𝟓𝟖𝟕𝟎 𝟓𝟖𝟕𝟔 𝟓𝟖𝟔𝟕 𝟓𝟕𝟖𝟕 𝟗𝟓𝟔𝟕 𝟗𝟔𝟓𝟕 𝟖𝟕𝟒𝟓 𝟑𝟖𝟕𝟒 𝟕𝟗𝟐𝟑 𝟕𝟗𝟖𝟑 𝟐𝟔𝟑𝟒 𝟖𝟖𝟕𝟑 𝟏𝟏𝟐𝟑 𝟏𝟎𝟐𝟑 𝟕𝟓𝟔𝟒 𝟒𝟒𝟓𝟔 2 8 × 16 cm 5 2 4 8 16 1 2 1 2 𝟏 𝟐 + 𝟏 𝟐 = 𝟏 𝟏 𝟖 + 𝟏 𝟖 + 𝟏 𝟖 + 𝟏 𝟖 + 𝟏 𝟖 + 𝟏 𝟖 + 𝟏 𝟖 + 𝟏 𝟖 =1 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏𝟔 1 𝟏 𝟐 𝟏 𝟒 𝟏 𝟏𝟔 + 𝟏 𝟏𝟔 + 𝟏 𝟏𝟔 + 𝟏 𝟏𝟔 𝟏 4 9 𝟏 𝟗 1 𝟗 1 𝟗 1 𝟗 1 𝟗 1 𝟗 1 𝟗 1 𝟗 1 𝟗 1 𝟗 18 1 𝟏𝟖 𝟏 𝟗 𝟏 𝟏𝟖 𝟏 𝟐 𝟏 𝟗 = 𝟐 𝟏𝟖 𝟐 𝟐 𝟗 = 𝟏𝟖 𝟔 𝟗 = 𝟔 𝟏𝟖 𝟗 𝟗 = 𝟏𝟖 𝟐 𝟒 𝟔 𝟗 𝟏𝟖 𝟐 𝟒 = 𝟏 𝟐 𝟏 𝟒 𝟏 𝟒 𝟏 𝟐 3 4 3 4 11 1 4 1 4 1 8 1 8 1 8 1 8 𝟏 𝟐 , 𝟐 𝟑 , 𝟓 𝟕 𝟑 𝟑 , 𝟕 𝟓 , 𝟏𝟎 𝟔 𝟑 𝟏 𝟓 , 𝟐 𝟓 𝟕 2 1 2 𝟐 𝟐 2 × 2 𝟒 𝟏 𝟐 𝟐 𝟏 𝟐 = 𝟐 × 𝟐 + 𝟏 𝟐 = 𝟒 + 𝟏 𝟐 = 𝟓 𝟐 2 1 2 𝑁𝑢𝑚𝑒𝑟𝑎𝑑𝑜𝑟 𝐷𝑒𝑛𝑜𝑚𝑖𝑛𝑎𝑑𝑜𝑟 5 2 3 𝟓 𝟐 × 𝟑 𝟑 = 𝟓 𝟑 𝟓 𝟐 × 𝟑 𝟑 = 𝟓 × 𝟑 = 𝟏𝟓 𝟓 𝟐 × 𝟑 𝟑 = 𝟓 × 𝟑 𝟐 × 𝟑 = 15 6 𝟐 𝟏 𝟐 𝟏𝟓 𝟔 3 4 2 𝟑 𝟒 = 𝟑 𝟒 × 𝟐 𝟐 𝟑 𝟐 6 𝟑 𝟒 = 𝟑 𝟒 × 𝟐 𝟐 = 𝟑 × 𝟐 = 𝟔 𝟑 𝟒 = 𝟑 𝟒 × 𝟐 𝟐 = 𝟑 × 𝟐 𝟒 × 𝟐 = 𝟔 𝟖 𝟑 𝟒 𝟔 𝟖 2 5 6 𝟐 𝟓 = 𝟐 𝟓 × 𝟔 𝟔 = 𝟐 𝟔 12 𝟐 𝟓 = 𝟐 𝟓 × 𝟔 𝟔 = 𝟐 × 𝟔 = 𝟏𝟐 𝟐 𝟓 = 𝟐 𝟓 × 𝟔 𝟔 = 𝟐 × 𝟔 𝟓 × 𝟔 = 𝟏𝟐 𝟑𝟎 𝟐 𝟓 𝟏𝟐 𝟑𝟎 2 3 = 6 7 = 12 7 = 10 2 7 = 5 12 = 4 3 5 = 10 11 = 6 1 2 = 12 7 = 5 4 9 = 5 1 8 = 3 2 9 = 9 2 = 3 2 5 = 9 3 4 = 32 9 = 9 5 = 7 1 5 = 16 8 = 1 12 = $10 0.50ȼ $0.50 $1 0.20ȼ $0.20 0.10ȼ $0.10 $2 $0.20 20 100 $1 $ 𝟎. 𝟓𝟎 $ 𝟏. 𝟎𝟎 $ 𝟎. 𝟐𝟎 $ 𝟎. 𝟏𝟎 $ 𝟐. 𝟎𝟎 𝟐 $10 𝟎 ȼ $𝟏 $ 2.30 2 30 30 100 $1 𝟏 $𝟏. 𝟎𝟎 $𝟎. 𝟒𝟎 $𝟎. 𝟒𝟎 $𝟎. 𝟑𝟎 𝟐 $𝟎. 𝟔𝟎 $𝟎. 𝟒𝟎 $𝟎. 𝟕𝟎 $𝟏. 𝟏𝟎 𝟑 $𝟎. 𝟐𝟎 $𝟎. 𝟓𝟎 $𝟎. 𝟐𝟎 $𝟎. 𝟖𝟎 𝟒 $𝟎. 𝟓𝟎 $𝟎. 𝟕𝟎 $𝟏. 𝟎𝟎 $𝟎. 𝟔𝟎 𝟏 𝟎 𝟎 𝟎 𝟔 𝟎 𝟎 𝟐 𝟎 𝟎 𝟓 𝟎 𝟐 𝟑 𝟎 𝟎 . 𝟒 𝟎 𝟎 . 𝟒 𝟎 + 𝟎 . 𝟓 𝟎 𝟎 . 𝟕 𝟎 𝟐 . 0 𝟎 50 $10 𝟎 𝟎 𝟏𝟎 ȼ 𝟐𝟎 ȼ 𝟓𝟎 ȼ $𝟑. 𝟎𝟎 $𝟒. 𝟎𝟎 $𝟓. 𝟎𝟎 $𝟏𝟎. 𝟎𝟎 𝟏 𝟎 𝟎 𝟎 𝟔 𝟎 𝟎 𝟐 𝟎 𝟎 𝟓 𝟎 𝟐 𝟑 𝟎 $1.40 $3.00 $2.00 10 ȼ $12.50 $10 $5 𝟐. 𝟓 𝟏. 𝟐 𝟐. 𝟏 𝟏. 𝟖 14.343 12.25 12.25 0 14.343 1 4 . 3 4 3 1 2 . 2 5 1 4 . 3 4 3 1 2 . 2 5 0 + + 𝟏𝟒. 𝟑𝟒𝟑 𝟏𝟐. 𝟐𝟓 𝟐𝟔. 𝟓𝟗𝟑 58.473 21.32 0 21.32 0 58.473 1 4 . 3 4 3 1 2 . 2 5 0 2 6 . 5 9 3 5 8 . 4 7 3 2 1 . 3 2 + +𝟓𝟖. 𝟒𝟕𝟑 𝟐𝟏. 𝟑𝟐 𝟕𝟗. 𝟕𝟗𝟑 20.55 + 12.4 = 45.89 + 34.5 = 66.45 + 22.8 = 76.12 + 34.5 = 89.25 + 21.1 = 85.786 + 67.34 = 67.876 + 13.45 = 37.671 + 32.12 = 90.945 + 65.67 = 87.672 + 45.22 = 89.22 + 60.1 = 99.99 + 88.8 = 76.87 + 43.7 = 17.82 + 12.6 = 36.66 + 28.1 = 37.988 + 16.78 = 5 8 . 4 7 3 2 1 . 3 2 0 5 8 . 4 7 3 2 1 . 3 2 0 7 9 . 7 9 3 + + $10 𝟏𝟐 𝟏𝟓 𝟐 5 $10 𝟏 $𝟏𝟎 𝟐 $𝟏𝟎 3 $𝟏𝟎 𝟔 $𝟏𝟎 12 18 24 $10 24 10 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 + 𝟏𝟎 × 10 $10 24 4 0 4 × 0 = 0 4 4 1, , 4 × 1 = 4 2 10, 12 15 $𝟐𝟓 𝟔𝟎 12 × 10 10 × 12 120 × 11 21 $231 $42 $211 $33 32 24 $12 96 25 $18 365 $3285 $6570 $3650 $2920 43 × 15 43 15 𝟓 × 3 = 15 5 1 𝟒 𝟑 × 𝟏 𝟓 𝟏 𝟒 𝟑 × 𝟏 𝟓 𝟓 5 × 4 = 20 20 + 1 = 21 1 2 1 1 × 3 = 3 215 3 1 1 × 4 = 4 3 𝟏 𝟒 𝟑 × 𝟏 𝟓 𝟐 𝟏 𝟓 𝟒 𝟑 × 𝟏 𝟓 𝟐 𝟏 𝟓 𝟑 𝟒 𝟑 × 𝟏 𝟓 𝟐 𝟏 𝟓 𝟒 𝟑 𝟒𝟑 𝟏𝟓 𝟔𝟒𝟓 37 × 24 37 24 4 × 7 = 28 8 2 𝟒 𝟑 × 𝟏 𝟓 𝟐 𝟏 𝟓 𝟒 𝟑 𝟔 𝟒 𝟓 𝟐 𝟑 𝟕 × 𝟐 𝟒 𝟖 4 × 3 = 12 2 12 + 2 = 14 2 × 7 = 𝟏𝟒 𝟒 148 𝟏 2 × 3 = 6 6 + 1 = 7 𝟐 𝟑 𝟕 × 𝟐 𝟒 𝟏 𝟒 𝟖 𝟏 𝟑 𝟕 × 𝟐 𝟒 𝟏 𝟒 𝟖 𝟒 𝟏 𝟑 𝟕 × 𝟐 𝟒 𝟏 𝟒 𝟖 𝟕 𝟒 𝟑𝟕 𝟐𝟒 𝟖𝟖𝟖 1) 76 × 37 = 2) 39 × 47 = 3) 35 × 21 = 4) 87 × 23 = 5) 27 × 43 = 6) 34 × 14 = 7) 59 × 10 = 8) 26 × 20 = 9) 44 × 54 = 10) 23 × 15 = 11) 18 × 15 = 12) 83 × 11 = 13) 85 × 12 = 14) 28 × 35 = 15) 19 × 33 = 16) 72 × 18 = 17) 61 × 21 = 18) 53 × 31 = 19) 27 × 43 = 20) 25 × 15 = 𝟑 𝟕 × 𝟐 𝟒 𝟏 𝟒 𝟖 𝟕 𝟒 𝟖 𝟖 𝟖 𝟑 10 4 10 2 3 4 5 6 7 8 9 10 𝑎 = 1 𝑏 = 2 𝑐 = 1 𝑑 = 1 𝑒 = 2 𝑓 = 3 4 2 1 3 𝑎 = 1 𝑏 = 2 𝑑 = 1 𝑒 = 2 𝑓 = 3 𝑐 = 1 2 1 8 2 20 2 6 4 20 𝟏 10 18 12 14 8 𝑐𝑚 6𝑐𝑚 𝟖 + 𝟖 + 𝟔 + 𝟔 = 𝟐𝟖 Perímetro = 𝟐𝟖 𝐜𝐦 𝑏 × ℎ = 8 × 6 = 48 Área = 𝟒𝟖 𝒄𝒎𝟐 𝟐𝟖 𝐜𝐦 𝟒𝟖 𝒄𝒎𝟐 𝟏𝟐 + 𝟏𝟐 + 5 + 5 = 34 Perímetro = 𝟑𝟒 𝒄𝒎 𝑏 × ℎ = 12 × 5 = 60 Área = 𝟔𝟎𝒄𝒎𝟐 𝟑𝟒 𝐜𝐦 𝟔𝟎 𝒄𝒎𝟐 8 32 48 8 2 𝟒 𝟒 𝟐 𝟒 ÷ 𝟐 𝟒 𝟐 𝟔 ÷ 𝟐 𝟖 𝟐 𝟑𝟐 𝟒𝟖 𝒏 𝒎 2, 3, 5, 7 … 32 8 2 𝟖 𝟐 𝟏𝟔 𝟎 𝟐 𝟏𝟔 ÷ 𝟖 𝟏𝟔 𝟖 𝟐 𝟏𝟔 𝟖 16 8 = 8 4 = 4 2 = 2 1 = 2 𝟐 32 ÷ 8 32 8 16 4 2 8 2 2 𝟑𝟐 ÷ 𝟖 𝟒 𝟒𝟖 𝟏𝟔 𝟏𝟔 𝟖 𝟐 𝟐𝟒 𝟒𝟎 𝟒𝟎 𝟖 35 14 8 4 3 𝟖 𝟐 𝟖 𝟐 𝟒 𝟏𝟐𝟓 𝟐𝟓 𝟏𝟐𝟓 𝟐𝟓 𝟓 𝟒𝟖 𝟔 𝟏𝟐 𝟔 𝟒𝟖 𝟖 𝟏𝟒 𝟕 𝟑𝟓 𝟓 𝟏𝟓 𝟑 𝟒𝟓 𝟗 𝟏𝟔 𝟖 𝟐𝟒 𝟖 𝟐𝟏 𝟕 𝟓𝟔 𝟒 𝟑𝟔 𝟗 𝟏𝟒 𝟐 14) 𝟑𝟐 𝟖 𝟐𝟎 𝟒 16) 𝟒𝟓 𝟓 𝟏𝟎 𝟓 18) 𝟑𝟔 𝟏𝟐 𝟐𝟒 𝟒 20) 𝟗 𝟑 3 12 4 3 3 3 6 4 5 2 2 2 3 𝟓 𝟔 𝟒 = 𝐍𝐮𝐦𝐞𝐫𝐚𝐝𝐨𝐫 𝐃𝐞𝐧𝐨𝐦𝐢𝐧𝐚𝐝𝐨𝐫 𝟏 𝟐 𝟔 𝟒 + 𝟐 𝟑 𝟏 𝟏 𝟒 − 𝟏 𝟐 𝟏 𝟐 + 𝟏 𝟐 + 𝟏 𝟐 + 𝟏 𝟐 + 𝟏 𝟐 = 𝟓 𝟐 2 2 3 − 1 2 4 = 8 3 − 6 4 = 32 − 18 12 = 14 12 = 7 6 = 1 1 6 𝟐 𝟐 𝟑 = 𝟖 𝟑 − 𝟖 𝟑 − 𝟔 𝟒 = 𝟑𝟐 − 𝟏𝟖 𝟏𝟐 𝟏𝟒 𝟏𝟐 = 𝟕 𝟔 • • • 2 × 6 = 12 5 2 − 3 6 = 30 12 − 6 12 = 30 12 − 6 12 = 24 12 • • 5 2 + 3 2 = 8 2 2 3 2 + 2 6 + 2 2 3 5 + 4 3 + 3 7 5 3 + 2 3 + 1 3 3 2 + 2 5 + 2 1 3 6 7 + 2 7 2 5 7 − 4 9 2 4 3 − 1 5 7 − 2 3 1 5 7 − 4 9 5 7 − 2 7 3 3 2 7 4 4 2 9 4 2 3 4 1 3 2 1 5 1 3 4 1 2 2 3 𝑚 6 4 𝑚 7 8 𝑚 𝟒 𝟕 + 𝟓 𝟕 𝟒 𝟕 + 𝟓 𝟕 = 𝟕 𝟒 𝟕 + 𝟓 𝟕 = 𝟗 𝟕 𝟒 𝟕 + 𝟓 𝟕 𝟗 𝟕 = 𝟏 𝟐 𝟕 𝟏𝟐 𝟏𝟓 − 𝟏 𝟓 𝟏𝟐 𝟏𝟓 − 𝟏 𝟓 𝟓 𝟓 𝟏𝟓 𝟑 1 5 𝟏 × 𝟑 𝟓 × 𝟑 = 𝟑 𝟏𝟓 𝟏𝟓 𝟏𝟐 𝟏𝟓 − 𝟑 𝟏𝟓 = 𝟏𝟓 𝟏𝟐 𝟏𝟓 − 𝟑 𝟏𝟓 = 𝟗 𝟏𝟓 𝟏𝟐 𝟏𝟓 − 𝟏 𝟓 𝟗 𝟏𝟓 𝟒 𝟑 𝟒 + 𝟐 𝟐 𝟑 𝟑 𝟒 + 𝟐 𝟑 𝟑 𝟒 + 𝟐 𝟑 = 𝟑 × 𝟑 𝟒 × 𝟑 = 𝟗 𝟏𝟐 𝟑 𝟒 + 𝟐 𝟑 = 𝟐 × 𝟒 𝟑 × 𝟒 = 𝟖 𝟏𝟐 𝟗 𝟏𝟐 + 𝟖 𝟏𝟐 = 𝟏𝟕 𝟏𝟐 = 𝟏 𝟓 𝟏𝟐 4 2 𝟒 + 𝟐 + 𝟏 + 𝟓 𝟏𝟐 = 𝟕 𝟓 𝟏𝟐 𝟒 𝟑 𝟒 + 𝟐 𝟐 𝟑 𝟕 𝟓 𝟏𝟐 2 1 2 − 1 2 5 𝟏 𝟐 − 𝟐 𝟓 = 𝟏 × 𝟓 𝟐 × 𝟓 = 𝟓 𝟏𝟎 𝟏 𝟐 − 𝟐 𝟓 = 𝟐 × 𝟐 𝟓 × 𝟐 = 𝟒 𝟏𝟎 𝟓 𝟏𝟎 − 𝟒 𝟏𝟎 = 𝟏 𝟏𝟎 2 1 𝟐 − 𝟏 = 𝟏 𝟏 + 𝟏 𝟏𝟎 = 𝟏 𝟏 𝟏𝟎 𝟐 𝟏 𝟐 − 𝟏 𝟒 𝟏𝟎 𝟏 𝟏 𝟏𝟎 3 4 + 1 2 = 2 8 + 5 8 = 5 2 4 − 2 1 8 = 3 4 6 + 2 3 9 5 4 + 2 8 1 7 12 − 5 12 7 9 + 2 3 12 9 + 2 9 5 8 15 − 3 7 = 13 4 + 11 2 = 2 1 3 + 7 9 = 4 18 + 16 5 8 = 5 4 + 2 9 18 = 3 − 2 3 5 2 8 + 4 8 8 13 + 8 2 17 8 + 2 13 13 81 + 2 9 6 9 12 − 1 5 = 3 81 + 16 38 = 35 0.325 44 0.225 0 . 3 2 5 3 5 1 6 2 5 + 9 7 5 1 1 3. 7 5 0 . 2 2 5 4 4 9 0 0 + 9 0 0 1. 8 0 𝟏 𝟎. 𝟑𝟐𝟓 𝟎. 𝟑𝟐𝟓 𝒍 𝟐 𝟑 𝟒 𝟎. 𝟑𝟐𝟓 + 𝟎. 𝟑𝟐𝟓 + 𝟎. 𝟑𝟐𝟓 + 𝟎. 𝟑𝟐𝟓 𝟓 𝟏𝟎 𝟏𝟓 35 0.325 44 0.225 2 10 3.250 𝑙 0.325 𝑙 10 3.250 𝑙 𝟎. 𝟑𝟐𝟓 𝟎. 𝟐𝟐𝟓 𝟑 𝟗 𝟏𝟓 𝟐𝟏 𝟑𝟓 𝟏𝟏. 𝟑𝟕𝟓 𝟕. 𝟖𝟕𝟓 𝟓𝟎 2.25 85 $945.75 15 $7.75 8 $𝟔. 𝟑𝟓 $𝟕. 𝟓𝟎 $𝟓. 𝟓𝟎 $𝟔. 𝟓𝟎 $𝟏𝟎. 𝟕𝟎 $𝟏𝟐. 𝟓𝟎 46 14 10 20 3.42 24 𝟑. 𝟒𝟐 𝟏𝟐 𝟒𝟏. 𝟎𝟒 21.6 24 𝟐𝟏. 𝟔 𝟐𝟒 𝟓𝟏𝟖. 𝟒 1.17 × 8 = 0.98 × 5 = 0.365 × 7 = 0.617 × 9 = 0.1792 × 4 = 1.17 × 8 = 3.54 × 5 = 9.432 × 3 = 8.167 × 8 = 3.8241 × 6 = 2.56 × 34 = 7.347 × 12 = 14.726 × 67 = 35.825 × 121 = 154.31 × 246 = $96 32 $3 $125 25 $5 $168 42 $5 $72 12 $4 $75 15 $5 32 $96 25 $125 42 $168 12 $72 15 $75 𝟐 𝟑𝟐 $𝟑 𝟔 𝟔 48 8 6 0 𝟒𝟖 𝟖 𝟒𝟖 ÷ 𝟖 $96 32 $125 25 $168 42 $72 12 $75 15 $96 32 $125 25 $168 42 $72 12 $75 15 315 ÷ 21 21 315 15 × 21 = 315 𝟏𝟓 $14,400 $1,300 $1,200 $4,308 $2,000 378 21 ? 18 21 20 30 𝟐𝟎 $𝟑𝟎𝟎 𝟑𝟎𝟎 ÷ 𝟐𝟎 = 𝟏𝟒 𝟏𝟓 𝟐𝟓 𝟑𝟎 𝟒𝟑 $𝟖𝟏𝟕 𝟖𝟏𝟕 ÷ 𝟒𝟑 = 𝟏𝟗 𝟏𝟓 𝟏𝟐 𝟏𝟒 810 ÷ 9 = 99 90 ÷ 9 = 10 840 ÷ 10 = 48 840 ÷ 10 = 48 744 ÷ 93 = 18 315 ÷ 15 = 21 𝟏𝟐 $𝟑𝟔𝟎 𝟑𝟔𝟎 ÷ 𝟏𝟐 = 𝟑𝟓 𝟐𝟓 𝟑𝟎 𝟐𝟎 𝟏𝟔 $𝟖𝟎 𝟖𝟎 ÷ 𝟏𝟔 = 𝟕 𝟗 𝟓 𝟖 𝟐𝟎𝟎 $𝟏𝟒𝟎𝟎 𝟏𝟒𝟎𝟎 ÷ 𝟐𝟎𝟎 = 𝟏𝟕 𝟕 𝟐𝟕 𝟑𝟕 𝟏𝟓 $𝟔𝟎𝟎 𝟔𝟎𝟎 ÷ 𝟏𝟓 = 𝟒𝟎 𝟓𝟎 𝟔𝟎 𝟕𝟎 12 𝟗𝟏𝟐 ÷ 𝟐𝟒 912 24 𝟑𝟑𝟔 𝟏𝟐 𝟐𝟏 𝟐𝟏 𝟑𝟎𝟎 𝟐𝟕𝟔 𝟐𝟖𝟖 𝟐𝟒𝟎 𝟑𝟗𝟔 91 𝟑, 0 𝟗𝟏𝟐 𝟐𝟒 𝟑𝟖 1856 ÷ 58 58 18 185 𝟑 2 3 0 𝟏𝟖𝟓𝟔 𝟓𝟖 𝟑𝟐 168 ÷ 56 = 10488 ÷ 23 = 936 ÷ 78 = 24075 ÷ 25 = 224 ÷ 16 = 34086 ÷ 46 = 697 ÷ 41 = 72288 ÷ 96 = 1128 ÷ 94 = 30618 ÷ 63 = 1134 ÷ 27 = 28842 ÷ 38 = 8 8 30 32 34 𝟐 𝟏 𝟐 𝟑 𝟑 𝟒 𝟓 𝟏 𝟏 𝟒 8 𝟐 8 𝟑 𝟒 𝟓 𝟔 24 𝟕 𝟖 4 5 5 6 10 40 𝟖, 𝟏𝟐, 𝟏𝟔, 𝟐𝟎,𝟐𝟒, … 𝟕 𝟖 4 1 2 𝟖 𝟐𝟒𝟐𝟎𝟏𝟔𝟏𝟐 1 2 𝟕 𝟐 𝟏 𝟐 𝟎. 𝟓 𝟑 𝟑 𝟒 𝟒 𝟓 𝟔 𝟏. 𝟓 𝟕 𝟖 𝟐 𝟏 𝟐 𝟏 𝟐 1.30, 1.55, 1.75, 1.80, 2.05, 2.25, 2.30, … 2 8 , 1 2 , 6 8 , 7 8 , 1, 1 1 8 , 1 2 8 , 1 2 8 , … 0.20 5.15 𝟏 𝟐 𝟑 𝟒 𝟓 𝟔 𝟓. 𝟏𝟓 2 6 2 3 𝟏 𝟐 𝟑 𝟒 𝟓 𝟔 𝟕 𝟖 𝟐 𝟔 𝟏 𝟐 𝟑 𝟒 𝟓 𝟔 𝟕 $𝟏𝟒𝟐 $𝟏𝟓𝟔 $𝟏𝟖𝟒 $𝟏𝟗𝟖 $𝟐𝟏𝟐 55 5 4. 5. 4. 8. 𝟐. 𝟓, 𝟓. 𝟓, 𝟖. 𝟓. 𝟏𝟏. 𝟓, 𝟏𝟒. 𝟓, … 𝟑 𝟑 4, 12, 20, 28, 36, … 𝟖 𝟖 1) 26, 36, 46, 56, … 8) 6, 13, 20, 27, … 2) 11, 13, 15, 17, 19, … 9) 2.3, 2.6, 2.9, 3.2, … 3) 16, 26, 36, 46, … 10) 4, 24, 44, 64, … 4) 11, 16, 21, 26, 31, … 11) 2.0, 2.5, 3.0, 3.5, … 5) 2, 6, 10, 14, … 12) 3, 8, 13, 18, … 6) 4, 14, 24, 34, … 13) 1.2, 1.9, 2.6, 3.3, … 7) 11, 22, 33, … 14) 12, 19, 26, 33, … 8 𝟖 𝟎 𝟖 𝟏 𝟏𝟔 𝟐 𝟑𝟐 𝟑 𝟒 𝟓 𝟐𝟓𝟔 𝟔 𝟕 𝟖 1024 𝟖 𝟏𝟐𝟖𝟔𝟒𝟑𝟐𝟏𝟔 𝑝𝑜𝑟 2 8 𝟏 𝟏 𝟐 𝟑 𝟒 𝟓 𝟔 𝟖 1, 4, 16, 64 … 1 × 4 = 4 4 × 4 = 16 4 64 × 4 = 256 256 × 4 = 1024 1, 4, 16, 64, 256, 1024 16 ÷ 4 = 4 64 ÷ 16 = 4 4 8 5 8 512 𝟏, 𝟒, 𝟏𝟔, 𝟔𝟒, 𝟐𝟓𝟔 … 11 8 $300 𝟏, 𝟑, 𝟗, 𝟐𝟕 … 𝟒, 𝟖, 𝟏𝟔, 𝟑𝟐, 𝟔𝟒 … 𝟒, 𝟖, 𝟏𝟔, 𝟑𝟐, 𝟔𝟒, … 𝟑𝟐 ÷ 𝟏𝟔 = 𝟐 𝟐 𝟑, 𝟏𝟐, 𝟒𝟖, 𝟏𝟗𝟐, 𝟕𝟔𝟖, … 𝟑, 𝟏𝟐, 𝟒𝟖, 𝟏𝟗𝟐, 𝟕𝟔𝟖 … 𝟒𝟖 ÷ 𝟏𝟐 = 𝟒 𝟒 1, 5, 25, 125, … 7, 21, 63, 189, 567, … 2, 6, 18, 54, 162, … 2, 4, 8, 16, 32, … 1 8 , 2 8 , 1 2 , 1, 2, … 2.5, 0.625, 0.15625, 0.0390625, … Figura A 𝟕 𝟒𝟎 𝑎 = 4 𝑚 𝑏 = 5 𝑚 𝑐 = 6.4 𝑚 + + + + + 𝑷 = + + + 𝑨 = 𝒃 × 𝒉 1 2 2 2 1 2 𝟏 + + 𝟐 + + 2 1 𝑇𝑟𝑖á𝑛𝑔𝑢𝑙𝑜 1 = 𝑇𝑟𝑖á𝑛𝑔𝑢𝑙𝑜 2 = 𝑨 = 𝒃 × 𝒉 𝑨 = 𝒃 × 𝒉 𝟐 90° 3 1 2 𝟏 𝟐 • • 𝐴 = 𝑏𝑥ℎ 2 • • 24 11 60 24 𝑐𝑚2 20 30 𝑨 = 𝒃 × 𝒉 𝑷 = 𝒍 + 𝒍 + 𝒍 + 𝒍 𝑨 = 𝒍 × 𝒍 𝑷 = 𝒍 + 𝒍 + 𝒍 + 𝒍 𝑨 = 𝒃 × 𝒉 𝟐 𝑷 = 𝒍 + 𝒍 + 𝒍 𝑷 = 𝒍 + 𝒍 + 𝒍 = 𝟑 𝒄𝒎 + 𝟖 𝒄𝒎 + 𝟑 𝒄𝒎 + 𝟖𝒄𝒎 = 𝟐𝟐 𝒄𝒎 𝟐𝟐 𝒄𝒎. 𝑷 = 𝒍 + 𝒍 + 𝒍 + 𝒍 𝑷 = 𝟑 𝒄𝒎 + 𝟖 𝒄𝒎 + 𝟑 𝒄𝒎 + 𝟖 𝒄𝒎 6 𝑐𝑚 3 𝑐𝑚 18 𝑐𝑚² 2 𝑨 = 𝟏𝟖 𝒄𝒎𝟐 𝟐 = 𝟗𝒄𝒎𝟐 𝑷 = 𝒍 + 𝒍 + 𝒍 = 𝟔 𝒄𝒎 + 𝟑 𝒄𝒎 + 𝟔. 𝟕 𝒄𝒎 6 𝑐𝑚 3 𝑐𝑚 6.7𝑐𝑚 15.7𝑐𝑚 𝑷 = 𝟔𝒄𝒎 + 𝟑𝒄𝒎 + 𝟔. 𝟕𝒄𝒎 = 𝟏𝟓. 𝟕𝒄𝒎 𝟗𝒄𝒎² 𝟏𝟓. 𝟕𝒄𝒎 𝑨 = 𝒃 × 𝒉 𝟐 𝑨 = 𝟔 𝒄𝒎 × 𝟑 𝒄𝒎 𝟐 72 815 km² 62 848 000 000 m 𝟗 1 𝑚𝑚 (1 mm2) (1 cm2) (1 dm2) 1 cm2? 1 dm2? 1 dm2 1 cm2 m2 1 000 000 m 10 000 m 100 m 1 m 0.01 m 0.000 1 m 0.000 001 m 100 km2 m2 100 mm2 cm2 72 815 62 848 000 000 100, 100 10 100 10 km2 × 100 × 100 × 100 = 10, 000, 000 m2 23 dam 1 953 m2 𝑚2 $12, 000, 000 12 𝟒𝟐 𝟎𝟎𝟎 𝟏𝟎 𝟖𝟎𝟎 𝟕𝟐𝟎 𝟎𝟎𝟎 𝟓𝟖. 𝟐𝟐 𝟏𝟓 𝟎𝟎𝟎 1994 18, 993, 400 247, 087 151, 571, 000, 000 2, 146, 100 27, 621 × × × 𝟑 𝒅𝒎𝟐 𝒎𝟐 𝑲𝒎𝟐 𝟏 𝟎𝟎𝟎 𝟎𝟎𝟎 𝒎𝟐 𝒉𝒎𝟐 𝟏𝟎 𝟎𝟎𝟎 𝒎𝟐 𝒅𝒂𝒎𝟐 𝟏 𝟎𝟎 𝒎𝟐 𝒎𝟐 𝟏 𝒎𝟐 𝒅𝒎𝟐 𝟎. 𝟎𝟏 𝒎𝟐 𝒄𝒎𝟐 𝟎. 𝟎𝟎𝟎𝟏 𝒎𝟐 𝒎𝒎𝟐 𝟎. 𝟎𝟎𝟎 𝟎𝟎𝟏 𝒎𝟐 𝟏𝟎𝟎 𝟑 ÷ 𝟏𝟎𝟎 𝟑 𝒅𝒎𝟐 = 𝟎. 𝟎𝟑 𝒎𝟐 𝟑 𝒉𝒎𝟐 𝒎𝟐 2 𝒉𝒎𝟐 𝒅𝒂𝒎𝟐 𝒅𝒂𝒎𝟐 𝒎𝟐 𝟏𝟎𝟎 2 100 𝟑 𝒉𝒎𝟐 × 𝟏𝟎𝟎 = 𝟑𝟎𝟎 𝒅𝒂𝒎𝟐 100 𝟑𝟎𝟎 𝒅𝒂𝒎𝟐 × 𝟏𝟎𝟎 = 𝟑𝟎 𝟎𝟎𝟎 𝒎𝟐 𝟑 𝒉𝒎𝟐 = 𝟑𝟎 𝟎𝟎𝟎 𝒎𝟐 5 𝑘𝑚2 𝑚2 3 𝑘𝑚2 ℎ𝑚2 ℎ𝑚2 𝑑𝑎𝑚2 𝑑𝑎𝑚2 𝑚2 𝟏𝟎𝟎 3 5 100 𝟓 × 𝟏𝟎𝟎 × 𝟏𝟎𝟎 × 𝟏𝟎𝟎 𝟓 𝒌𝒎𝟐 = 𝟓 𝟎𝟎𝟎 𝟎𝟎𝟎 𝒎𝟐 𝟓 𝒌𝒎𝟐 𝟓 𝟎𝟎𝟎 𝟎𝟎𝟎 𝒎𝟐 500 000 𝑚𝑚2 = 𝑐𝑚2 3 000 𝑚𝑚2 = 𝑑𝑚2 800 000 𝑚𝑚2 = 𝑑𝑚2 1 000 000 𝑐𝑚2 = 𝑚2 300 𝑑𝑎𝑚2 = ℎ𝑚2 400 𝑑𝑎𝑚2 = 𝑘𝑚2 1 𝑘𝑚2 = 𝑐𝑚2 80 ℎ𝑚2 = 𝑚2 5 000 𝑚2 = 𝑚𝑚2 80 ℎ𝑚2 = 𝑐𝑚2 2 40 50 500 250 4 500 8 250 250 500 250 1 500 1 1 500 250 2 𝟏 8 250 𝟐 50 500 𝟑 16 250 𝟏 4 500 𝟐 10 3 𝟑 12 250 1000 g 100 g 10 g 1 g 0.1 g 0.01 g 0.001 g 𝟏 30 1000 𝟑𝟎 𝐤𝐠 × 𝟏𝟎𝟎𝟎 = 𝟑𝟎𝟎𝟎𝟎 𝐠 30 kg 10 𝟑𝟎 𝐤𝐠 × 𝟏𝟎 = 𝟑𝟎𝟎 𝐡𝐠 30 000 1000 𝟑𝟎 𝟎𝟎𝟎 𝐠 𝟏𝟎𝟎𝟎 𝐠 ¿ ? 𝐤𝐠 𝟏 𝐤𝐠 𝟑𝟎 𝟎𝟎𝟎 𝐠 ÷ 𝟏𝟎𝟎𝟎 = 𝟑𝟎 𝐤𝐠 4 500 8 250 15 800 𝑔 68 ℎ𝑔 5 100 50 𝑘𝑔 500 ℎ𝑔 1, 600 𝑑𝑔 0.75 𝑘𝑔 50 18 𝑑𝑎𝑔 𝑑𝑔 𝑑𝑎𝑔 𝟏 𝒅𝒂𝒈 = 𝟏𝟎 × 𝟏𝟎 𝒅𝒈 100 𝟏𝟖 𝒅𝒂𝒈 × 𝟏𝟎𝟎 = 𝟏𝟖𝟎𝟎 𝒅𝒈 𝟏𝟖 𝟏𝟖𝟎𝟎 1300 10 𝟏𝟑𝟎𝟎 𝒄𝒈 ÷ 𝟏𝟎 = 𝟏𝟑𝟎 𝒅𝒈 10 𝟏𝟑𝟎 𝒅𝒈 ÷ 𝟏𝟎 = 𝟏𝟑 𝒈 𝟏𝟑𝟎𝟎 𝟏𝟑 170 000 𝑚𝑔 𝑔 10 𝟏𝟕𝟎 𝟎𝟎𝟎 𝒎𝒈 ÷ 𝟏𝟎 = 𝟏𝟕 𝟎𝟎𝟎 𝒄𝒈 10 𝟏𝟕 𝟎𝟎𝟎 𝒄𝒈 ÷ 𝟏𝟎 = 𝟏 𝟕𝟎𝟎 𝒅𝒈 10 𝟏 𝟕𝟎𝟎 𝒅𝒈 ÷ 𝟏𝟎 = 𝟏𝟕𝟎 𝒈 𝟏𝟕𝟎 𝟎𝟎𝟎 𝟏𝟕𝟎 3 dg = 12dg = 120 kg = 8.7 hg = 150 hg = 32.1 mg = 1000 mg = 1.2 dag = 8700 g = 43 kg = https://www.geogebra.org/m/mkejTc2R https://www.youtube.com/watch?v=lagza3rb2YU&t=49s https://www.superprof.co/blog/simbolo-vacio/ http://acofacien.org/images/files/BIBLIOTECA/Libros/LOS%20FRACCIONARIOS%20EN%20PRIMARIA.pdf http://acofacien.org/images/files/BIBLIOTECA/Libros/LOS%20FRACCIONARIOS%20EN%20PRIMARIA.pdf https://www.inee.edu.mx/wp-content/uploads/2019/01/P1D402.pdf http://www.revista-educacion-matematica.org.mx/descargas/Vol13/2/02Block.pdf http://www.revista-educacion-matematica.org.mx/descargas/Vol13/2/02Block.pdf https://www.redalyc.org/articulo.oa?id=40517204 https://archivos.csif.es/archivos/andalucia/ensenanza/revistas/csicsif/revista/pdf/Numero_24/MARIA%20DEL%20CARMEN_%20CABRERA%20MARTIN_1.pdf https://archivos.csif.es/archivos/andalucia/ensenanza/revistas/csicsif/revista/pdf/Numero_24/MARIA%20DEL%20CARMEN_%20CABRERA%20MARTIN_1.pdf https://www.redalyc.org/pdf/4757/475748666008.pdf https://www.youtube.com/watch?v=0B05Uy0Cj-c https://www.youtube.com/watch?v=ptnoVl3835I http://www.ugr.es/~jgodino/edumat-maestros/manual/2_Sistemas_numericos.pdf http://www.ugr.es/~jgodino/edumat-maestros/manual/2_Sistemas_numericos.pdf https://es.wikipedia.org/w/index.php?title=Sistema_de_numeraci%C3%B3n&oldid=134534338 https://es.wikipedia.org/w/index.php?title=Sistema_de_numeraci%C3%B3n&oldid=134534338 http://repositorio.uladech.edu.pe/bitstream/handle/123456789/4924/ESTRATEGIAS_HEURISTICAS%20_DIONICIO_ISIDRO_EDENITH_CENIA.pdf?sequence=4&isAllowed=y http://repositorio.uladech.edu.pe/bitstream/handle/123456789/4924/ESTRATEGIAS_HEURISTICAS%20_DIONICIO_ISIDRO_EDENITH_CENIA.pdf?sequence=4&isAllowed=y http://repositorio.uladech.edu.pe/bitstream/handle/123456789/4924/ESTRATEGIAS_HEURISTICAS%20_DIONICIO_ISIDRO_EDENITH_CENIA.pdf?sequence=4&isAllowed=y https://www.youtube.com/watch?v=vEtgv-xeeV0 https://www.youtube.com/watch?v=vEtgv-xeeV0 https://storyset.com/work https://storyset.com/illustration/calculator/amico https://storyset.com/work https://storyset.com/education https://storyset.com/education https://storyset.com/education https://storyset.com/education https://storyset.com/illustration/social-distance-at-school/brohttps://storyset.com/illustration/social-distance-at-school/bro https://storyset.com/illustration/choose/bro https://storyset.com/illustration/classroom/amicoi https://storyset.com/illustration/teaching/pana https://storyset.com/illustration/exams/amico https://storyset.com/illustration/deconstructed/bro https://storyset.com/illustration/pie-chart/pana https://storyset.com/illustration/reading-list/amico#842E88FF&hide=&hide=complete https://storyset.com/illustration/reading-list/amico#842E88FF&hide=&hide=complete https://storyset.com/people https://storyset.com/illustration/kids-studying-from-home/pana https://storyset.com/illustration/children-preparing-their-backpack/amico https://storyset.com/illustration/children-preparing-their-backpack/amico https://storyset.com/illustration/sorting-thoughts/rafiki https://storyset.com/illustration/credit-card-payment/rafiki https://storyset.com/computer https://storyset.com/education https://storyset.com/illustration/teaching/bro https://storyset.com/education https://storyset.com/illustration/teacher/amico https://storyset.com/illustration/teaching/amico https://www.cuentosyrecetas.com/numero-cero-valor-del-cero/ https://www.youtube.com/watch?v=4jP8-6nNThM https://www.youtube.com/watch?v=hLUWasKOJwQ https://academica-e.unavarra.es/xmlui/handle/2454/14964 https://academica-e.unavarra.es/xmlui/handle/2454/14964 https://www.youtube.com/watch?v=OQkYr6QF7vQ https://www.disfrutalasmatematicas.com/valor-posicional.html http://200.23.113.51/pdf/2431.pdf https://coleccion.siaeducacion.org/sites/default/files/files/4deg_fichero_matematicas.pdf https://coleccion.siaeducacion.org/sites/default/files/files/4deg_fichero_matematicas.pdf https://coleccion.siaeducacion.org/sites/default/files/files/3degfichero_matematicas.pdf https://coleccion.siaeducacion.org/sites/default/files/files/3degfichero_matematicas.pdf http://www.innoveduca.com/files/propis/mates_unidadmedida/1_introduccin.html https://www.youtube.com/watch?v=_VEPWET-ogQ https://www.youtube.com/watch?v=_VEPWET-ogQ http://relime.org/articulos/2101/201804a/index.html http://raza-kwfracc.blogspot.com/2012/07/la-fraccion-como-cociente.html http://raza-kwfracc.blogspot.com/2012/07/la-fraccion-como-cociente.html 𝟏 𝟐 + 𝟏 𝟐 + 𝟐 𝟐 + 𝟏 𝟑 + 𝟏 𝟑 = 1 1 2 + 2 2 = 1 2 8 + 1 4 = 𝟓 𝟐 𝟐 𝟐 𝟑 𝟔 𝟒 𝟏 𝟏 𝟏 𝟐 𝟏 𝟐 𝟏 𝟐 𝟏 𝟐 𝟏 𝟒 𝟏 𝟒 𝟏 𝟒 𝟏 𝟒 𝟏 𝟒 𝟏 𝟒 𝟏 𝟒 𝟏 𝟒 𝟏 𝟒 𝟏 𝟒 𝟏 𝟒 𝟏 𝟒
