§ 3. Упражнение 697. «Математика. 6 класс. Учебник для общеобразовательных организаций. В 2 частях. Часть 1»

    Упражнение 697

    Выполните действия:

      • $${\largeа)}\ (1{,}704:0{,}8-1{,}73)\cdot7{,}16-2{,}64;$$$${\largeб)}\ 227{,}36:(865{,}6-20{,}8\cdot40{,}5)\cdot8{,}38+1{,}12;$$$${\largeв)}\ (0{,}9464:(3{,}5\cdot0{,}13)+3{,}92)\cdot0{,}18;$$$${\largeг)}\ 275{,}4:(22{,}74+9{,}66)\cdot(937{,}7-30{,}6\cdot30{,}5).$$

    Источник заимствования: Математика. 6 класс. Учебник для общеобразовательных организаций. В 2 частях. Часть 1 / – Мнемозина, 2019. – 121 c. ISBN 978-5-346-03720-0
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    Решение:

      • $${\largeа)}\ (1{,}704:0{,}8-1{,}73)\cdot7{,}16-2{,}64=(2{,}13-1{,}73)\cdot7{,}16-2{,}64=0{,}4\cdot7{,}16-2{,}64=2{,}864-2{,}64=0{,}224$$

      • $$\begin{array}{l}\begin{array}{}1)\\[0.2ex]\\\end{array}\begin{array}{r}-\begin{array}{l}17{,}04\\16\\\hline\end{array}\begin{array}{|l}8\\\hline2{,}13\end{array}\\\end{array}\\\phantom{\ 000}\begin{array}{r}-\begin{array}{r}10\\8\\\hline\end{array}\end{array}\\\phantom{\ 0000}\begin{array}{r}-\begin{array}{r}24\\24\\\hline\end{array}\end{array}\\\phantom{\ 0000000}\begin{array}{r}0\end{array}\end{array}$$
      • $$\begin{array}{}2)\\[3.5ex]\\\end{array}\begin{array}{r}-\begin{array}{r}2{,}13\\1{,}73\\\hline\end{array}\\\begin{array}{r}0{,}40\end{array}\end{array}$$
      • $$\begin{array}{}3)\\[3.5ex]\\\end{array}\begin{array}{r}\times\begin{array}{r}7{,}16\\0{,}4\\\hline\end{array}\\\begin{array}{r}2{,}864\end{array}\end{array}$$
      • $$\begin{array}{}4)\\[3.5ex]\\\end{array}\begin{array}{r}-\begin{array}{r}2{,}864\\2{,}640\\\hline\end{array}\\\begin{array}{r}0{,}224\end{array}\end{array}$$

      • $${\largeб)}\ 227{,}36:(865{,}6-20{,}8\cdot40{,}5)\cdot8{,}38+1{,}12=227{,}36:(865{,}6-842{,}4)\cdot8{,}38+1{,}12=227{,}36:23{,}2\cdot8{,}38+1{,}12=9{,}8\cdot8{,}38+1{,}12=82{,}124+1{,}12=83{,}244$$

      • $$\begin{array}{}1)\\[10.5ex]\\\end{array}\begin{array}{r}\times\begin{array}{r}20{,}8\\40{,}5\\\hline\end{array}\phantom{0}\\\begin{array}{r}+\begin{array}{r}1040\\832\phantom{00}\\\hline\end{array}\\\begin{array}{r}842{,}40\end{array}\end{array}\end{array}$$
      • $$\begin{array}{}2)\\[3.5ex]\\\end{array}\begin{array}{r}-\begin{array}{r}865{,}6\\842{,}4\\\hline\end{array}\\\begin{array}{r}23{,}2\end{array}\end{array}$$
      • $$\begin{array}{l}\begin{array}{}3)\\[0.2ex]\\\end{array}\begin{array}{r}-\begin{array}{l}2273{,}6\\2088\\\hline\end{array}\begin{array}{|l}232\\\hline9{,}8\end{array}\\\end{array}\\\phantom{\ 000}\begin{array}{r}-\begin{array}{r}1856\\1856\\\hline\end{array}\end{array}\\\phantom{\ 00000000}\begin{array}{r}0\end{array}\end{array}$$
      • $$\begin{array}{}4)\\[10.5ex]\\\end{array}\begin{array}{r}\times\begin{array}{r}8{,}38\\9{,}8\\\hline\end{array}\phantom{0}\\\begin{array}{r}+\begin{array}{r}6704\\7542\phantom{0}\\\hline\end{array}\\\begin{array}{r}82{,}124\end{array}\end{array}\end{array}$$
      • $$\begin{array}{}5)\\[3.5ex]\\\end{array}\begin{array}{r}+\begin{array}{r}82{,}124\\1{,}120\\\hline\end{array}\\\begin{array}{r}83{,}244\end{array}\end{array}$$

      • $${\largeв)}\ (0{,}9464:(3{,}5\cdot0{,}13)+3{,}92)\cdot0{,}18=(0{,}9464:0{,}455+3{,}92)\cdot0{,}18=(2{,}08+3{,}92)\cdot0{,}18=6\cdot0{,}18=1{,}08$$

      • $$\begin{array}{}1)\\[10.5ex]\\\end{array}\begin{array}{r}\times\begin{array}{r}3{,}5\\0{,}13\\\hline\end{array}\phantom{0}\\\begin{array}{r}+\begin{array}{r}105\\35\phantom{0}\\\hline\end{array}\\\begin{array}{r}0{,}455\end{array}\end{array}\end{array}$$
      • $$\begin{array}{l}\begin{array}{}2)\\[0.2ex]\\\end{array}\begin{array}{r}-\begin{array}{l}946{,}40\\910\\\hline\end{array}\begin{array}{|l}455\\\hline2{,}08\end{array}\\\end{array}\\\phantom{\ 000}\begin{array}{r}-\begin{array}{r}364\\0\\\hline\end{array}\end{array}\\\phantom{\ 000}\begin{array}{r}-\begin{array}{r}3640\\3640\\\hline\end{array}\end{array}\\\phantom{\ 00000000}\begin{array}{r}0\end{array}\end{array}$$
      • $$\begin{array}{}3)\\[3.5ex]\\\end{array}\begin{array}{r}+\begin{array}{r}2{,}08\\3{,}92\\\hline\end{array}\\\begin{array}{r}6{,}00\end{array}\end{array}$$
      • $$\begin{array}{}4)\\[3.5ex]\\\end{array}\begin{array}{r}\times\begin{array}{r}0{,}18\\6\\\hline\end{array}\\\begin{array}{r}1{,}08\end{array}\end{array}$$

      • $${\largeг)}\ 275{,}4:(22{,}74+9{,}66)\cdot(937{,}7-30{,}6\cdot30{,}5)=275{,}4:32{,}4\cdot(937{,}7-30{,}6\cdot30{,}5)=275{,}4:32{,}4\cdot(937{,}7-933{,}3)=275{,}4:32{,}4\cdot4{,}4=8{,}5\cdot4{,}4=37{,}4$$

      • $$\begin{array}{}1)\\[3.5ex]\\\end{array}\begin{array}{r}+\begin{array}{r}22{,}74\\9{,}66\\\hline\end{array}\\\begin{array}{r}32{,}40\end{array}\end{array}$$
      • $$\begin{array}{}2)\\[10.5ex]\\\end{array}\begin{array}{r}\times\begin{array}{r}30{,}6\\30{,}5\\\hline\end{array}\phantom{0}\\\begin{array}{r}+\begin{array}{r}1530\\918\phantom{00}\\\hline\end{array}\\\begin{array}{r}933{,}30\end{array}\end{array}\end{array}$$
      • $$\begin{array}{}3)\\[3.5ex]\\\end{array}\begin{array}{r}-\begin{array}{r}937{,}7\\933{,}3\\\hline\end{array}\\\begin{array}{r}4{,}4\end{array}\end{array}$$
      • $$\begin{array}{l}\begin{array}{}4)\\[0.2ex]\\\end{array}\begin{array}{r}-\begin{array}{l}2754{,}0\\2592\\\hline\end{array}\begin{array}{|l}324\\\hline8{,}5\end{array}\\\end{array}\\\phantom{\ 000}\begin{array}{r}-\begin{array}{r}1620\\1620\\\hline\end{array}\end{array}\\\phantom{\ 00000000}\begin{array}{r}0\end{array}\end{array}$$
      • $$\begin{array}{}5)\\[10.5ex]\\\end{array}\begin{array}{r}\times\begin{array}{r}8{,}5\\4{,}4\\\hline\end{array}\phantom{0}\\\begin{array}{r}+\begin{array}{r}340\\340\phantom{0}\\\hline\end{array}\\\begin{array}{r}37{,}40\end{array}\end{array}\end{array}$$