4класс

Часть 2 страница 22, ГДЗ по математике за 4 класс к рабочей тетради Дорофеева

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Нахождение дроби от числа

1. Выбери и обведи кружком схему, которая подходит для данной задачи. Реши задачу.

1) Купили арбуз массой 8 кг. За обедом съели \({\frac{1}{4}}\) часть арбуза. Сколько килограммов арбуза съели? \[\begin{matrix} \hspace{1.04em}\mathclap{1)}\hspace{1.04em}\enspace \textcolor{transparent}{\left(\kern-0.15em\overgroup{\undergroup{\textcolor{#272727}{\vcenter{\kern0.2em\underbrace{\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{2.5em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{2.5em}{0.1em}}}^{\mathclap{?}}\rule[0.2em]{2.5em}{0.1em}\rule[0.2em]{2.5em}{0.1em}\mathllap{\mathclap{\bullet}\hspace{2.5em}\mathclap{\bullet}\hspace{2.5em}\mathclap{\bullet}\hspace{2.5em}\mathclap{\bullet}\hspace{2.5em}\mathclap{\bullet}}}_{8\text{ кг}}\kern0.2em}}}}\kern-0.15em\right)} \\[14pt] \hspace{1.04em}\mathclap{2)}\hspace{1.04em}\enspace \textcolor{transparent}{\left(\kern-0.15em\overgroup{\undergroup{\textcolor{#272727}{\vcenter{\kern0.2em\underbrace{\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{2.5em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{2.5em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{2.5em}{0.1em}}}^{\mathclap{?}}\rule[0.2em]{2.5em}{0.1em}\mathllap{\mathclap{\bullet}\hspace{2.5em}\mathclap{\bullet}\hspace{2.5em}\mathclap{\bullet}\hspace{2.5em}\mathclap{\bullet}\hspace{2.5em}\mathclap{\bullet}}}_{8\text{ кг}}\kern0.2em}}}}\kern-0.15em\right)} \\[14pt] \hspace{1.04em}\mathclap{3)}\hspace{1.04em}\enspace \textcolor{transparent}{\left(\kern-0.15em\overgroup{\undergroup{\textcolor{#272727}{\vcenter{\kern0.2em\underbrace{\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}}^{\mathclap{?}}\rule[0.2em]{1.25em}{0.1em}\rule[0.2em]{1.25em}{0.1em}\rule[0.2em]{1.25em}{0.1em}\rule[0.2em]{1.25em}{0.1em}\rule[0.2em]{1.25em}{0.1em}\rule[0.2em]{1.25em}{0.1em}\rule[0.2em]{1.25em}{0.1em}\mathllap{\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}}}_{8\text{ кг}}\kern0.2em}}}}\kern-0.15em\right)} \\[14pt] \hspace{1.04em}\mathclap{4)}\hspace{1.04em}\enspace \textcolor{#e03131}{\left(\kern-0.15em\overgroup{\undergroup{\textcolor{#272727}{\vcenter{\kern0.2em\underbrace{\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{2.5em}{0.1em}}}^{\mathclap{?}}\rule[0.2em]{2.5em}{0.1em}\rule[0.2em]{2.5em}{0.1em}\rule[0.2em]{2.5em}{0.1em}\mathllap{\mathclap{\bullet}\hspace{2.5em}\mathclap{\bullet}\hspace{2.5em}\mathclap{\bullet}\hspace{2.5em}\mathclap{\bullet}\hspace{2.5em}\mathclap{\bullet}}}_{8\text{ кг}}\kern0.2em}}}}\kern-0.15em\right)} \end{matrix}\] \(8 : 4 = \textcolor{#e03131}{\mathbf{2}}\text{ (кг)}\)
Ответ: \(\textcolor{#e03131}{\mathbf{2}}\) кг.
2) В книге 96 страниц. Маша прочитала \({\frac{3}{8}}\) этой книги. Сколько страниц ещё осталось прочитать? \[\begin{matrix} \hspace{1.04em}\mathclap{1)}\hspace{1.04em}\enspace \textcolor{transparent}{\left(\kern-0.15em\overgroup{\undergroup{\textcolor{#272727}{\vcenter{\kern0.2em\underbrace{\rule[0.2em]{1.25em}{0.1em}\rule[0.2em]{1.25em}{0.1em}\rule[0.2em]{1.25em}{0.1em}\rule[0.2em]{1.25em}{0.1em}\rule[0.2em]{1.25em}{0.1em}\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}}^{\mathclap{?}}\mathllap{\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}}}_{96\text{ с.}}\kern0.2em}}}}\kern-0.15em\right)} \\[14pt] \hspace{1.04em}\mathclap{2)}\hspace{1.04em}\enspace \textcolor{#e03131}{\left(\kern-0.15em\overgroup{\undergroup{\textcolor{#272727}{\vcenter{\kern0.2em\underbrace{\rule[0.2em]{1.25em}{0.1em}\rule[0.2em]{1.25em}{0.1em}\rule[0.2em]{1.25em}{0.1em}\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}}^{\mathclap{?}}\mathllap{\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}}}_{96\text{ с.}}\kern0.2em}}}}\kern-0.15em\right)} \\[14pt] \hspace{1.04em}\mathclap{3)}\hspace{1.04em}\enspace \textcolor{transparent}{\left(\kern-0.15em\overgroup{\undergroup{\textcolor{#272727}{\vcenter{\kern0.2em\underbrace{\rule[0.2em]{1.25em}{0.1em}\rule[0.2em]{1.25em}{0.1em}\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}}^{\mathclap{?}}\mathllap{\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}}}_{96\text{ с.}}\kern0.2em}}}}\kern-0.15em\right)} \\[14pt] \hspace{1.04em}\mathclap{4)}\hspace{1.04em}\enspace \textcolor{transparent}{\left(\kern-0.15em\overgroup{\undergroup{\textcolor{#272727}{\vcenter{\kern0.2em\underbrace{\rule[0.2em]{1.25em}{0.1em}\overbrace{\vphantom{\bullet}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}\textcolor{#ff8787}{\rule[0.2em]{1.25em}{0.1em}}}^{\mathclap{?}}\mathllap{\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}\hspace{1.25em}\mathclap{\bullet}}}_{96\text{ с.}}\kern0.2em}}}}\kern-0.15em\right)} \end{matrix}\] \(1)\ 96 : 8 \cdot 3 = \textcolor{#e03131}{\mathbf{36}}\text{ (с.)}\)
\(2)\ 96 - 36 = \textcolor{#e03131}{\mathbf{60}}\text{ (с.)}\)
Ответ: \(\textcolor{#e03131}{\mathbf{60}}\) страниц.

2. Сравни.

\[\begin{aligned} 30 \overset{\mathclap{\textcolor{#808080}{\scriptstyle 3\,000}}\rule[-0.35em]{0pt}{0.35em}}{\cdot} 100 &\mathrel{\hspace{0.72em}\mathclap{\vcenter{\Large\bigcirc}}\mathclap{\textcolor{#e03131}{\pmb{\boldsymbol{<}}}}\hspace{0.72em}} 30\,000 & \qquad 98\,000 \overset{\mathclap{\textcolor{#808080}{\scriptstyle 980}}\rule[-0.35em]{0pt}{0.35em}}{:} 100 &\mathrel{\hspace{0.72em}\mathclap{\vcenter{\Large\bigcirc}}\mathclap{\textcolor{#e03131}{\pmb{\boldsymbol{>}}}}\hspace{0.72em}} 980 \overset{\mathclap{\textcolor{#808080}{\scriptstyle 98}}\rule[-0.35em]{0pt}{0.35em}}{:} 10 \\ 2\,000 \overset{\mathclap{\textcolor{#808080}{\scriptstyle 200}}\rule[-0.35em]{0pt}{0.35em}}{:} 10 &\mathrel{\hspace{0.72em}\mathclap{\vcenter{\Large\bigcirc}}\mathclap{\textcolor{#e03131}{\pmb{\boldsymbol{>}}}}\hspace{0.72em}} 20 & \qquad 170\,000 \overset{\mathclap{\textcolor{#808080}{\scriptstyle 170}}\rule[-0.35em]{0pt}{0.35em}}{:} 1\,000 &\mathrel{\hspace{0.72em}\mathclap{\vcenter{\Large\bigcirc}}\mathclap{\textcolor{#e03131}{\pmb{\boldsymbol{=}}}}\hspace{0.72em}} 17 \overset{\mathclap{\textcolor{#808080}{\scriptstyle 170}}\rule[-0.35em]{0pt}{0.35em}}{\cdot} 10 \\ 52 \overset{\mathclap{\textcolor{#808080}{\scriptstyle 5\,200}}\rule[-0.35em]{0pt}{0.35em}}{\cdot} 100 &\mathrel{\hspace{0.72em}\mathclap{\vcenter{\Large\bigcirc}}\mathclap{\textcolor{#e03131}{\pmb{\boldsymbol{>}}}}\hspace{0.72em}} 502 \overset{\mathclap{\textcolor{#808080}{\scriptstyle 5\,020}}\rule[-0.35em]{0pt}{0.35em}}{\cdot} 10 \\ 4\,600 \overset{\mathclap{\textcolor{#808080}{\scriptstyle 460}}\rule[-0.35em]{0pt}{0.35em}}{:} 10 &\mathrel{\hspace{0.72em}\mathclap{\vcenter{\Large\bigcirc}}\mathclap{\textcolor{#e03131}{\pmb{\boldsymbol{<}}}}\hspace{0.72em}} 406 \overset{\mathclap{\textcolor{#808080}{\scriptstyle 4\,060}}\rule[-0.35em]{0pt}{0.35em}}{\cdot} 10 \end{aligned}\]

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