Verify
false
Quiz
Arithmetic
5 problems similar to:
\frac { 5 } { 1 } = \quad 100 \div \frac { 2 } { 3 } = \quad 88
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5=\frac{100}{\frac{2}{3}}\text{ and }\frac{100}{\frac{2}{3}}=88
Anything divided by one gives itself.
5=100\times \frac{3}{2}\text{ and }\frac{100}{\frac{2}{3}}=88
Divide 100 by \frac{2}{3} by multiplying 100 by the reciprocal of \frac{2}{3}.
5=\frac{100\times 3}{2}\text{ and }\frac{100}{\frac{2}{3}}=88
Express 100\times \frac{3}{2} as a single fraction.
5=\frac{300}{2}\text{ and }\frac{100}{\frac{2}{3}}=88
Multiply 100 and 3 to get 300.
5=150\text{ and }\frac{100}{\frac{2}{3}}=88
Divide 300 by 2 to get 150.
\text{false}\text{ and }\frac{100}{\frac{2}{3}}=88
Compare 5 and 150.
\text{false}\text{ and }100\times \frac{3}{2}=88
Divide 100 by \frac{2}{3} by multiplying 100 by the reciprocal of \frac{2}{3}.
\text{false}\text{ and }\frac{100\times 3}{2}=88
Express 100\times \frac{3}{2} as a single fraction.
\text{false}\text{ and }\frac{300}{2}=88
Multiply 100 and 3 to get 300.
\text{false}\text{ and }150=88
Divide 300 by 2 to get 150.
\text{false}\text{ and }\text{false}
Compare 150 and 88.
\text{false}
The conjunction of \text{false} and \text{false} is \text{false}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}