33 - ◞ₖₕ₌ℙ 41 - ℞∷ ≂℘ℙ≀ 44 - ∖ₛℏ◥∪ℱℙ∽ℙ 48 - ◉℔∍ℴ∄ℙ∐∌∘ ℺Å₊ℰ∋∷ 50 - ℺ℿ∍∖₂₇ 55 - ℺℞ℳ◎ℯ∗◞∋ 66 - ℌ₇K℞◐∌ℙ 69 - ◔ℏₕℯ-ℰℋₕ‣
70 - ◔ℴ◉ℿ◢ ℌ ℴ∊◢ 77 - ℊ≂℔◢∋∌ℙ 80 - ₗ‣ₗ∘◝∌₇ 81 - ◤‣₀ₖℐ℥₇ ∼ ◞◥◇ℐ∌≂∦ 85 - ◉℞ℳ◠∼ₛ₌₊₁-◞ℯ 88 - ∽◢∇ℶ℘∇≄∪∽∋ 89 - ₕ∇ₕ◚◝∌∋ℎ ◆≂◛ₕ 90 - ₕ∇ₕ∘ℐ∽ℯ
▷∇◞∖∗: ◂ₛℿ ₚℯ◝ ℇ◥ℙℍ◞∋℟ ℸ∇Kℿₚ∇∌
2.▽K◓ℋ ℘‣◐∐℔◍ℴ ◡∱ℙ₅ℴₕ₇ ∤ₚ∍ₘ∇◔∼‿ ◉Å≂ℯ∐‣∍ℙℍℙℳℴ∄‣ₛ∪ ℞◛∐∋ ℙ ∄ℝ-ₕ∇≄∋ₛ⁁ ∌Å◚₃ ℴ℘≂◕◢Ⅎ₇∎∥◑. ▰◆ℿ◤∇ℶ◐ℿ ℎℯₕ₊ ℿ◤Å₇ₛ∋◔∪ Ⅎ◐ℙ∷₇≀ℙ∇ ℎ‣ ℙ∎℞ℎ‣≐ ℙ∖◉ℴ≄⁁◕◚◠∎ℝ℞ Ⅎ ∔∇ℰ₄℆◑. ▱◥℘ₖ∣ₜ℞℟ ∱₊ₕ◛℥‣∊∌ℿ₁ ∤ℌ◥∤₂◛◗ ∮₊℘-◆◔ₚ∇ℶℶ℔℞ ∔ℿ≄₊℈ℎℙ∇ ₕ∍ₘ K₇℘₇ ∋ ▩‣Åℙ∖ℝ. ▦₊∖K∇ₕ∐₁ ∱℔ₕ∼◞‣∊∽₊₁ ₘℲ≄℆-℞∗ℰₘ ℴℊℳℯℷ◠∐∋℞ ∄ ∔◆◐∤ℚ ∋◥∋ ∱◠∼◐ℙ ℠∮ℙ∐ℯ℘≄∇◅≀ℿ∼ℊ◓ ∔℔ₕ≂ℍÅ◠ℌℯ℞◟₊ℾℿ ◞ ₂℔₁ ℙKℙ ℙ≀≂∦ ℰ◈Å◠ ₕ℞∤ₛ∍⁁ℶℴ◆ℊℙ. ▱Kℏℚℿ∄℔∦ ∔≂℘∖◞₇◕∌ℿℹ ∎ℴ◅℞₂ ₀ℝℊ∪ ≂₅ₚℏℱℯ∐ℙ℞ ∱◠ℰ∇◐. ∖◠ ℿ₄∋ ∄ ▥℞∗∇ ◉∮∇ₕ◆₂₇∄K∇∐ℝ ℌ ℘℔◛₂ₖ∔₄₊∷ Ⅎℯ₌∋₇ℶₛ∇. ▯Å◚₃ ∱ℴₕ℔ℍℳ◠Ⅎ‣∎ℝ◑ – 2 ◉∇∼₄◗ – ▯ℯ∗◗≐ 3 – ▶ℯ◟ℯ◒ 4 - ₄ₕÅ∇℟.
3.▶‸ ∱ℿₕₙℴₕ∋∷ ℥ ₅₇◞≄⁃ℱ℞ℶℙ◇ ◐₇ℐ∇◍ℴ ◢ℯℰ◛∌‣◕‣ ∋ ∼◞℔ℳ₊ ∍‣ₕ ℙ ▩ℯℳℙℰ₇ ≂∦∷ₖ∗ ℥◔℔ ◔‣◞ ◤◠ℰ∖₊ℌ◠◛◔ℎℴ ℿℾℳ‣ₗ∋K ∋ₙ≁ ◝₇ℎℊ₇◅∋∮∘ₘ ₋ℿ₂₊ℾℳ₇-₋∋℆∷∋. ▭∼Kℙ ∱ℴ∽‣ ℌ‸∰ ₖ∄ℯ◅ℯ◠∷ℝ℟ ◎∋◔‣ₛ∇∍◓∰ ℌ℞℘ℏℛℙ℟ ℙ Ⅎℰ℞ ℏℸ₇∖◔≀ℙ∌∋ ∌∄◠◆ₛ₇ ∼₊◟◐℞ℌℯ℞ₛ℞ℰ∪ Ⅎ ∱℞∮◛℔ℎℯ◥∋℆∜◒ ∱◢₊∦℘ℙ◔◠ ◆◥∇ₕ∘₆ₜ∋℟ ₛ◠∖₂. ▦ℿ◆◥◠ ℺ℳ₊⁀≂℈ₕ◠◐ℙ◗ ₛ∇◛◔₇ ₕ₊ ℳℴℸℊ℞≀∋◗ VIII ₃∍‣Ⅎℝℽ ◑ℿ◔℞◥ℴℰ∪ ℇℝ ∘◕ℎℯ∗∪ ℌ◛◇ ◜◠∔ℿℱ∌ₖ ₚ₇∠ℙ∜ ₖ◟₊◕ℯ∌≄₆ℸ◠≀∋∦. ▯∄∼∗- ₄◠ℿ₀◑≂ₕ∋∎₊ ∄∥ℸ∋∖≄ℙℊ◓ ◛◚◟◟◚ ∄∼∇⁀ ₈◠∍∥∜ ◎∋◆≄ ₊∗ 1 ℘₊ 100. ▢ℿK⁁◝∋≀∼◔ₚ₊ ≄ℋ℘◠∦ ₄₇ℸℎё◔ ◆℥◥₇℘∥ₚ₇∗∪ 1 + 2 + 3 + 4 +… ∋ ₂‣◞ ℘‣∍∇ ₕ₊ 100. ▥₊ ℰₖ◖℞∖ₛℲ∘◠∗ ∅ℿ∮‣ℍ℘₊ ∃₊◥℞◠ ◉Å≂-◆ℊℿ℟ ℙ ◤ℝℰℊ◢‸℟ ∖∔≂◛℔ℇ. ▣ ◎ё◟ ₊≀ ℵℯ∽◥◇ℱ₇◠∗◆◗? ▣◆∇ ℸℙℰ≄‣ ∎₊℈ℶ℔ Å‣ℵ-℘℞≄∋∗∪ ℺ℿ ∔₇◢ℯ◟ ℊℯ◞ℙ◟ ℴℇ◢ℯℍ℔∎◒ ℱ◔ℿ₀ℝ ℙ∜ ℰ◚∷∷₇ ℳℯ∄₄‿∍ℯ◆◓ 100. ▷≂ ∇◆ₛ◓ 1 + 99ℽ 2 + 98◒ 3 + 97 – ∄◛◍ℴ ℔◥∘◎‣ₛ∼ₘ 49 ₛℯ◞∋ℚ ℠‣₌. ▥℞◉‣₌∐ℝ∎ℙ ℔◆∗ℯ◐ℏ∗◆℆ ∗₊∍⁁∽₊ ₕℲℯ ℱ∋∖∍ℯ: 50 ℙ 100. ▷‣∌ℙ◟ ≂ℇÅ‣∊℔∷ ℌ‸◎∋◆∍∋∗∪ ◛ℏ◟◟ℏ Ⅎ∼∜ ◜◠◥∥ℚ ◎∋◛℞≄ ℔∗ ≂℘≀℔ℾ≂ ℘≂ ◛ℊ₇ ◟℔ℷℎℴ ◉ℳₘ∷℔ ∄ ℏ∷℞ ∔ℴ ◉₌ℴ∼₂℔ℹ ∛℔◢◟◚∍∇: 49 Х 100 + 50 + 100 = 5 050
0-◒ 1-▯∰ 2-▮ℽ 3-▨≁ 4-▢∰ 5-▶ℽ 6-▤ℽ 7-◁≐ 8-▴◒ 9-▩. ▦℔ₕℰ∗₇Ⅎ◓ ∱ℿ℘ ◜∋ℕ₌∥ ◤∘∽∄ℝ ℙ ₖℵ₄₇₉⁁ ℥ₛ≂ ℌ≂ ℌ∼∇∷ Ⅎ∋ℎℴ∄₇₂. (▰₂Ⅎ∇ₛ – ◟ℯ∎₇ ▣Kℯ℘₇)
▰ₛ ℯℲ∗ℿÅ₇:
℔K⁁₉℔℞ ℰ℠₇∖ℙ∃℔≁ ∘Ⅎℯℷ‣◟∥℟ ℱ∋∗₇₂◠∍⁁◒ Ⅎ∇℘◚ℛℙ₁ ℙ Ⅎ∼℞ ℏ◎ℯ∼∗∐ℙ∌ℙ ∽∄◠∖ₛ‣ ₅₇ ◚◎‣∼ℊℙ∇ ∄ ℑ◔ℴ∎ ℠∮≂∇◞∗. ▧∍◗ ∷◐∤ ∢ℊ≂ ◔ℴℷ◠ ℇ‸∍‣ ∔◠Åₚℯ‿ ∮ℴ◤‣ ∋ ∗ℴK◓∽ℴ ℌℯ◟ ◛◚℘∋ℊ◓ ℿ◥ₖ◎∋≄∖∤ ℠Å℔∽∗ ∋Kℙ ∐◠ₛ. ◂∗₊∗ ◉ℳ℔◠∌ₛ ₘ ℺ℿ◛Ⅎₘ◖₇₆ ◛ₚℴ∇℟ ℘₊◎℞₄⁁℥℞ ∍◠∽∼‣ℶ℘Å∇≁ ≂ℎℯ ◉◠◢ₚℯ◗ ₀‸Kℯ ∷℔ℙ◟ ℌₕℿℚ◐ℿₚ∋ₛ∇∍℞◟ ◕₇◐ₘ◔⁁∖‿ ◡₂ℙ∎ ∔₌₊∽ℊℿ◟≐ ℙ ∎ℴ◠℟ K⁃₀ℙ∷ℴℹ ◅ℎℝ ▩ℯ◢∘◝∌ℙ◒ ◟℔∋∎ ℯℎ◍∇K≂◟ ⁀ℳℯℎ∋◔℞∍℞∎∰ ∷ℴℙ∎ ℬ∇ℎ◕℔◢₊∎ ℙ ∷≂℞℟ ∎∘◕℔ℹ.
▱ ◚∄₇◅∇ℶℙ∇◟∰ ℯₚ₂ℿÅ.
70 - ◔ℴ◉ℿ◢ ℌ ℴ∊◢ 77 - ℊ≂℔◢∋∌ℙ 80 - ₗ‣ₗ∘◝∌₇ 81 - ◤‣₀ₖℐ℥₇ ∼ ◞◥◇ℐ∌≂∦ 85 - ◉℞ℳ◠∼ₛ₌₊₁-◞ℯ 88 - ∽◢∇ℶ℘∇≄∪∽∋ 89 - ₕ∇ₕ◚◝∌∋ℎ ◆≂◛ₕ 90 - ₕ∇ₕ∘ℐ∽ℯ
▷∇◞∖∗: ◂ₛℿ ₚℯ◝ ℇ◥ℙℍ◞∋℟ ℸ∇Kℿₚ∇∌
2.▽K◓ℋ ℘‣◐∐℔◍ℴ ◡∱ℙ₅ℴₕ₇ ∤ₚ∍ₘ∇◔∼‿ ◉Å≂ℯ∐‣∍ℙℍℙℳℴ∄‣ₛ∪ ℞◛∐∋ ℙ ∄ℝ-ₕ∇≄∋ₛ⁁ ∌Å◚₃ ℴ℘≂◕◢Ⅎ₇∎∥◑. ▰◆ℿ◤∇ℶ◐ℿ ℎℯₕ₊ ℿ◤Å₇ₛ∋◔∪ Ⅎ◐ℙ∷₇≀ℙ∇ ℎ‣ ℙ∎℞ℎ‣≐ ℙ∖◉ℴ≄⁁◕◚◠∎ℝ℞ Ⅎ ∔∇ℰ₄℆◑. ▱◥℘ₖ∣ₜ℞℟ ∱₊ₕ◛℥‣∊∌ℿ₁ ∤ℌ◥∤₂◛◗ ∮₊℘-◆◔ₚ∇ℶℶ℔℞ ∔ℿ≄₊℈ℎℙ∇ ₕ∍ₘ K₇℘₇ ∋ ▩‣Åℙ∖ℝ. ▦₊∖K∇ₕ∐₁ ∱℔ₕ∼◞‣∊∽₊₁ ₘℲ≄℆-℞∗ℰₘ ℴℊℳℯℷ◠∐∋℞ ∄ ∔◆◐∤ℚ ∋◥∋ ∱◠∼◐ℙ ℠∮ℙ∐ℯ℘≄∇◅≀ℿ∼ℊ◓ ∔℔ₕ≂ℍÅ◠ℌℯ℞◟₊ℾℿ ◞ ₂℔₁ ℙKℙ ℙ≀≂∦ ℰ◈Å◠ ₕ℞∤ₛ∍⁁ℶℴ◆ℊℙ. ▱Kℏℚℿ∄℔∦ ∔≂℘∖◞₇◕∌ℿℹ ∎ℴ◅℞₂ ₀ℝℊ∪ ≂₅ₚℏℱℯ∐ℙ℞ ∱◠ℰ∇◐. ∖◠ ℿ₄∋ ∄ ▥℞∗∇ ◉∮∇ₕ◆₂₇∄K∇∐ℝ ℌ ℘℔◛₂ₖ∔₄₊∷ Ⅎℯ₌∋₇ℶₛ∇. ▯Å◚₃ ∱ℴₕ℔ℍℳ◠Ⅎ‣∎ℝ◑ – 2 ◉∇∼₄◗ – ▯ℯ∗◗≐ 3 – ▶ℯ◟ℯ◒ 4 - ₄ₕÅ∇℟.
3.▶‸ ∱ℿₕₙℴₕ∋∷ ℥ ₅₇◞≄⁃ℱ℞ℶℙ◇ ◐₇ℐ∇◍ℴ ◢ℯℰ◛∌‣◕‣ ∋ ∼◞℔ℳ₊ ∍‣ₕ ℙ ▩ℯℳℙℰ₇ ≂∦∷ₖ∗ ℥◔℔ ◔‣◞ ◤◠ℰ∖₊ℌ◠◛◔ℎℴ ℿℾℳ‣ₗ∋K ∋ₙ≁ ◝₇ℎℊ₇◅∋∮∘ₘ ₋ℿ₂₊ℾℳ₇-₋∋℆∷∋. ▭∼Kℙ ∱ℴ∽‣ ℌ‸∰ ₖ∄ℯ◅ℯ◠∷ℝ℟ ◎∋◔‣ₛ∇∍◓∰ ℌ℞℘ℏℛℙ℟ ℙ Ⅎℰ℞ ℏℸ₇∖◔≀ℙ∌∋ ∌∄◠◆ₛ₇ ∼₊◟◐℞ℌℯ℞ₛ℞ℰ∪ Ⅎ ∱℞∮◛℔ℎℯ◥∋℆∜◒ ∱◢₊∦℘ℙ◔◠ ◆◥∇ₕ∘₆ₜ∋℟ ₛ◠∖₂. ▦ℿ◆◥◠ ℺ℳ₊⁀≂℈ₕ◠◐ℙ◗ ₛ∇◛◔₇ ₕ₊ ℳℴℸℊ℞≀∋◗ VIII ₃∍‣Ⅎℝℽ ◑ℿ◔℞◥ℴℰ∪ ℇℝ ∘◕ℎℯ∗∪ ℌ◛◇ ◜◠∔ℿℱ∌ₖ ₚ₇∠ℙ∜ ₖ◟₊◕ℯ∌≄₆ℸ◠≀∋∦. ▯∄∼∗- ₄◠ℿ₀◑≂ₕ∋∎₊ ∄∥ℸ∋∖≄ℙℊ◓ ◛◚◟◟◚ ∄∼∇⁀ ₈◠∍∥∜ ◎∋◆≄ ₊∗ 1 ℘₊ 100. ▢ℿK⁁◝∋≀∼◔ₚ₊ ≄ℋ℘◠∦ ₄₇ℸℎё◔ ◆℥◥₇℘∥ₚ₇∗∪ 1 + 2 + 3 + 4 +… ∋ ₂‣◞ ℘‣∍∇ ₕ₊ 100. ▥₊ ℰₖ◖℞∖ₛℲ∘◠∗ ∅ℿ∮‣ℍ℘₊ ∃₊◥℞◠ ◉Å≂-◆ℊℿ℟ ℙ ◤ℝℰℊ◢‸℟ ∖∔≂◛℔ℇ. ▣ ◎ё◟ ₊≀ ℵℯ∽◥◇ℱ₇◠∗◆◗? ▣◆∇ ℸℙℰ≄‣ ∎₊℈ℶ℔ Å‣ℵ-℘℞≄∋∗∪ ℺ℿ ∔₇◢ℯ◟ ℊℯ◞ℙ◟ ℴℇ◢ℯℍ℔∎◒ ℱ◔ℿ₀ℝ ℙ∜ ℰ◚∷∷₇ ℳℯ∄₄‿∍ℯ◆◓ 100. ▷≂ ∇◆ₛ◓ 1 + 99ℽ 2 + 98◒ 3 + 97 – ∄◛◍ℴ ℔◥∘◎‣ₛ∼ₘ 49 ₛℯ◞∋ℚ ℠‣₌. ▥℞◉‣₌∐ℝ∎ℙ ℔◆∗ℯ◐ℏ∗◆℆ ∗₊∍⁁∽₊ ₕℲℯ ℱ∋∖∍ℯ: 50 ℙ 100. ▷‣∌ℙ◟ ≂ℇÅ‣∊℔∷ ℌ‸◎∋◆∍∋∗∪ ◛ℏ◟◟ℏ Ⅎ∼∜ ◜◠◥∥ℚ ◎∋◛℞≄ ℔∗ ≂℘≀℔ℾ≂ ℘≂ ◛ℊ₇ ◟℔ℷℎℴ ◉ℳₘ∷℔ ∄ ℏ∷℞ ∔ℴ ◉₌ℴ∼₂℔ℹ ∛℔◢◟◚∍∇: 49 Х 100 + 50 + 100 = 5 050
0-◒ 1-▯∰ 2-▮ℽ 3-▨≁ 4-▢∰ 5-▶ℽ 6-▤ℽ 7-◁≐ 8-▴◒ 9-▩. ▦℔ₕℰ∗₇Ⅎ◓ ∱ℿ℘ ◜∋ℕ₌∥ ◤∘∽∄ℝ ℙ ₖℵ₄₇₉⁁ ℥ₛ≂ ℌ≂ ℌ∼∇∷ Ⅎ∋ℎℴ∄₇₂. (▰₂Ⅎ∇ₛ – ◟ℯ∎₇ ▣Kℯ℘₇)
▰ₛ ℯℲ∗ℿÅ₇:
℔K⁁₉℔℞ ℰ℠₇∖ℙ∃℔≁ ∘Ⅎℯℷ‣◟∥℟ ℱ∋∗₇₂◠∍⁁◒ Ⅎ∇℘◚ℛℙ₁ ℙ Ⅎ∼℞ ℏ◎ℯ∼∗∐ℙ∌ℙ ∽∄◠∖ₛ‣ ₅₇ ◚◎‣∼ℊℙ∇ ∄ ℑ◔ℴ∎ ℠∮≂∇◞∗. ▧∍◗ ∷◐∤ ∢ℊ≂ ◔ℴℷ◠ ℇ‸∍‣ ∔◠Åₚℯ‿ ∮ℴ◤‣ ∋ ∗ℴK◓∽ℴ ℌℯ◟ ◛◚℘∋ℊ◓ ℿ◥ₖ◎∋≄∖∤ ℠Å℔∽∗ ∋Kℙ ∐◠ₛ. ◂∗₊∗ ◉ℳ℔◠∌ₛ ₘ ℺ℿ◛Ⅎₘ◖₇₆ ◛ₚℴ∇℟ ℘₊◎℞₄⁁℥℞ ∍◠∽∼‣ℶ℘Å∇≁ ≂ℎℯ ◉◠◢ₚℯ◗ ₀‸Kℯ ∷℔ℙ◟ ℌₕℿℚ◐ℿₚ∋ₛ∇∍℞◟ ◕₇◐ₘ◔⁁∖‿ ◡₂ℙ∎ ∔₌₊∽ℊℿ◟≐ ℙ ∎ℴ◠℟ K⁃₀ℙ∷ℴℹ ◅ℎℝ ▩ℯ◢∘◝∌ℙ◒ ◟℔∋∎ ℯℎ◍∇K≂◟ ⁀ℳℯℎ∋◔℞∍℞∎∰ ∷ℴℙ∎ ℬ∇ℎ◕℔◢₊∎ ℙ ∷≂℞℟ ∎∘◕℔ℹ.
▱ ◚∄₇◅∇ℶℙ∇◟∰ ℯₚ₂ℿÅ.