Часть 2 страница 26, ГДЗ по математике за 4 класс к рабочей тетради Дорофеева
Умножение на круглые десятки, сотни и тысячи
\[\begin{array}{cr} & \vphantom{\overset{\bullet}{0}}412\phantom{00} \\ \smash{\raisebox{0.62em}{$\times$}} & 700 \\ \hline & \textcolor{#e03131}{\mathbf{2}\kern-0.075em\mathbf{8}\kern-0.075em\mathbf{8}\kern-0.075em\mathbf{4}\kern-0.075em\mathbf{0}\kern-0.075em\mathbf{0}\kern-0.075em} \end{array} \quad \begin{array}{cr} & \vphantom{\overset{\bullet}{0}}2674\phantom{0} \\ \smash{\raisebox{0.62em}{$\times$}} & 30 \\ \hline & \textcolor{#e03131}{\mathbf{8}\kern-0.075em\mathbf{0}\kern-0.075em\mathbf{2}\kern-0.075em\mathbf{2}\kern-0.075em\mathbf{0}\kern-0.075em} \end{array} \quad \begin{array}{cr} & \vphantom{\overset{\bullet}{0}}1835\phantom{00} \\ \smash{\raisebox{0.62em}{$\times$}} & 400 \\ \hline & \textcolor{#e03131}{\mathbf{7}\kern-0.075em\mathbf{3}\kern-0.075em\mathbf{4}\kern-0.075em\mathbf{0}\kern-0.075em\mathbf{0}\kern-0.075em\mathbf{0}\kern-0.075em} \end{array} \quad \begin{array}{cr} & \vphantom{\overset{\bullet}{0}}359\phantom{000} \\ \smash{\raisebox{0.62em}{$\times$}} & 2000 \\ \hline & \textcolor{#e03131}{\mathbf{7}\kern-0.075em\mathbf{1}\kern-0.075em\mathbf{8}\kern-0.075em\mathbf{0}\kern-0.075em\mathbf{0}\kern-0.075em\mathbf{0}\kern-0.075em} \end{array}\]
Вычисли разность наибольшего и наименьшего значений выражений. Вычти из результата 780. Раздели полученное число на \(1\,000\). Проверь, должно получиться 653.
\(\textcolor{#808080}{{734\,000 - 80\,220 = 653\,780}\text{,}}\) \(\textcolor{#808080}{{653\,780 - 780 = 653\,000}\text{,}}\) \(\textcolor{#808080}{{653\,000 : 1\,000 = 653}}\)
1) В коробке 245 воздушных шаров. Из них \({\frac{2}{7}}\) составляют красные шары. Сколько красных шаров в коробке?
\[\begin{matrix} \hspace{1.04em}\mathclap{1)}\hspace{1.04em}\enspace \underbrace{\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{1.643em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.643em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.643em}{0.1em}}}^{\mathclap{?}}\rule[0.2em]{1.643em}{0.1em}\rule[0.2em]{1.643em}{0.1em}\rule[0.2em]{1.643em}{0.1em}\rule[0.2em]{1.643em}{0.1em}\mathllap{\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}}}_{245\text{ ш.}} \\[14pt] \hspace{1.04em}\mathclap{2)}\hspace{1.04em}\enspace \underbrace{\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{1.438em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.438em}{0.1em}}}^{\mathclap{?}}\rule[0.2em]{1.438em}{0.1em}\rule[0.2em]{1.438em}{0.1em}\rule[0.2em]{1.438em}{0.1em}\rule[0.2em]{1.438em}{0.1em}\rule[0.2em]{1.438em}{0.1em}\rule[0.2em]{1.438em}{0.1em}\mathllap{\mathclap{\bullet}\hspace{1.438em}\mathclap{\bullet}\hspace{1.438em}\mathclap{\bullet}\hspace{1.438em}\mathclap{\bullet}\hspace{1.438em}\mathclap{\bullet}\hspace{1.438em}\mathclap{\bullet}\hspace{1.438em}\mathclap{\bullet}\hspace{1.438em}\mathclap{\bullet}\hspace{1.438em}\mathclap{\bullet}}}_{245\text{ ш.}} \\[14pt] \hspace{1.04em}\mathclap{3)}\hspace{1.04em}\enspace \underbrace{\rule[0.2em]{1.643em}{0.1em}\rule[0.2em]{1.643em}{0.1em}\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{1.643em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.643em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.643em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.643em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.643em}{0.1em}}}^{\mathclap{?}}\mathllap{\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}}}_{245\text{ ш.}} \\[14pt] \hspace{1.04em}\mathclap{\vcenter{\textcolor{#e03131}{\huge\bigcirc}}}\mathclap{4)}\hspace{1.04em}\enspace \underbrace{\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{1.643em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.643em}{0.1em}}}^{\mathclap{?}}\rule[0.2em]{1.643em}{0.1em}\rule[0.2em]{1.643em}{0.1em}\rule[0.2em]{1.643em}{0.1em}\rule[0.2em]{1.643em}{0.1em}\rule[0.2em]{1.643em}{0.1em}\mathllap{\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}\hspace{1.643em}\mathclap{\bullet}}}_{245\text{ ш.}} \end{matrix}\]
\(245 : 7 \cdot 2 = \textcolor{#e03131}{\mathbf{70}}\text{ (ш.)}\)
Ответ: \(\textcolor{#e03131}{\mathbf{70}}\) шаров.
2) Маша и Витя идут по дорожке длиной 180 м навстречу друг другу. Маша прошла \({\frac{1}{5}}\) пути, а Витя — \({\frac{3}{5}}\) пути. Определи в метрах расстояние, которое им осталось пройти до встречи.
\[\begin{matrix} \hspace{1.04em}\mathclap{1)}\hspace{1.04em}\enspace \underbrace{\rule[0.2em]{2.3em}{0.1em}\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{2.3em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{2.3em}{0.1em}}}^{\mathclap{?}}\rule[0.2em]{2.3em}{0.1em}\rule[0.2em]{2.3em}{0.1em}\mathllap{\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}}}_{180\text{ м}} \\[14pt] \hspace{1.04em}\mathclap{2)}\hspace{1.04em}\enspace \underbrace{\rule[0.2em]{2.3em}{0.1em}\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{2.3em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{2.3em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{2.3em}{0.1em}}}^{\mathclap{?}}\rule[0.2em]{2.3em}{0.1em}\mathllap{\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}}}_{180\text{ м}} \\[14pt] \hspace{1.04em}\mathclap{3)}\hspace{1.04em}\enspace \underbrace{\rule[0.2em]{1.917em}{0.1em}\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{1.917em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.917em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.917em}{0.1em}}}^{\mathclap{?}}\rule[0.2em]{1.917em}{0.1em}\rule[0.2em]{1.917em}{0.1em}\mathllap{\mathclap{\bullet}\hspace{1.917em}\mathclap{\bullet}\hspace{1.917em}\mathclap{\bullet}\hspace{1.917em}\mathclap{\bullet}\hspace{1.917em}\mathclap{\bullet}\hspace{1.917em}\mathclap{\bullet}\hspace{1.917em}\mathclap{\bullet}}}_{180\text{ м}} \\[14pt] \hspace{1.04em}\mathclap{\vcenter{\textcolor{#e03131}{\huge\bigcirc}}}\mathclap{4)}\hspace{1.04em}\enspace \underbrace{\rule[0.2em]{2.3em}{0.1em}\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{2.3em}{0.1em}}}^{\mathclap{?}}\rule[0.2em]{2.3em}{0.1em}\rule[0.2em]{2.3em}{0.1em}\rule[0.2em]{2.3em}{0.1em}\mathllap{\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}\hspace{2.3em}\mathclap{\bullet}}}_{180\text{ м}} \end{matrix}\]
\(1)\ 180 : 5 = \textcolor{#e03131}{\mathbf{36}}\text{ (м)}\)
\(2)\ 180 : 5 \cdot 3 = \textcolor{#e03131}{\mathbf{108}}\text{ (м)}\)
\(3)\ 180 - 36 - 108 = \textcolor{#e03131}{\mathbf{36}}\text{ (м)}\)
Ответ: \(\textcolor{#e03131}{\mathbf{36}}\) м.