Number System

Evaluate $(-1)^{25}$.

What is the successor of $-1$?

If you are at $-2$ on the number line and move $5$ units to the left, you reach:

What is the value of $a \times (-1)$ if $a$ is a positive integer?

Evaluate the following: $(-50) \div [25 \div (-5)]$.

If the sum of two integers is $0$, what is the relationship between the two integers?

Fill in the blank to satisfy the property: $(-11) \times [(-5) + \dots ] = 0$.

Which property of multiplication is used in: $x \times (y \times z) = (x \times y) \times z$?

What is the product of the successor of $-5$ and the predecessor of $5$?

Find the value of $m$ if $m \div (-4) = -12 + 8$.

What is the value of $(-5) \times 4 \times (-1)$?

Divide $40$ by $(-8)$.

What is the product of $(-1)$ used as a factor $6$ times?

Find the quotient: $(-8) \div (-1)$.

What is the result of dividing an integer by itself (where the integer is not zero)?

Simplify: $(-18) \times (-10) \times 0$.

Find $k$ if $k \times (-1) = 99$.

Evaluate: $[\{(-24) \div (-3)\} \times (-2)] \div [(-4) \times 1]$.

If $a \times b = -48$, which of the following could be the values of $a$ and $b$?

A hike starts at an elevation of $-50\text{ feet}$ (below sea level) and ends at an elevation $1200\text{ feet}$ higher. If the hike took $5$ hours, what was the average change in elevation per hour?

Find $\frac{5}{8}$ of $32$.

What is $14.4 \div 12$?

Calculate $0.07 \times 0.7$.

What is the product of $\frac{3}{10}$ and $\frac{10}{3}$?

Simplify the following expression: $0.8 \times 0.5 \div 0.2$.

Calculate the product of the reciprocal of $2$ and the reciprocal of $3$.

Divide the mixed number $4\frac{1}{5}$ by the whole number $7$.

Simplify: $(2.5)^2 - (1.5)^2 \div 0.5$

Solve for $y$: $y \times 0.25 = 12.5 \div 0.5$

If $15$ copies of a book weigh $6.3$ kg, what is the weight of $2 \frac{1}{3}$ dozen such books?

Which integer is equivalent to the rational number $\frac{-18}{6}$?

Find the standard form of $\frac{21}{-35}$.

Between which two integers is the rational number $\frac{11}{3}$ located?

In standard form, the denominator of a rational number must be a:

If the rational number $\frac{162}{-270}$ is expressed in its standard form $\frac{p}{q}$, what is the value of $q - p$?

What is the standard form of the rational number $\frac{-75}{-100}$?

If the unit distance between $1$ and $2$ on the number line is divided into $4$ equal parts, what is the value of the third division point moving to the right from $1$?

If $\frac{P}{Q}$ is a rational number such that $P$ is the smallest two-digit prime number and $Q$ is the largest two-digit even number, the standard form is:

Find the product of the numerator and denominator of the standard form of $\frac{210}{-315}$.

If $n$ is a natural number, then $\frac{-n}{n+1}$ is always:

Find the product: $\frac{1}{2} \times \frac{1}{2}$.

Simplify: $\frac{3}{8} + \frac{1}{4}$.

Divide $\frac{-2}{5}$ by $\frac{1}{5}$.

Calculate: $\frac{5}{12} \times \frac{12}{5}$.

Subtract the additive inverse of $\frac{-5}{12}$ from the product of $\frac{1}{2}$ and $\frac{1}{3}$.

Find the value of $a$ if $\frac{a}{5} \times \frac{-2}{3} = \frac{4}{15}$.

Calculate the following: $(\frac{1}{3} - \frac{1}{4}) \div (\frac{1}{3} + \frac{1}{4})$.

If $2x + \frac{1}{3} = \frac{1}{2}x - 1$, find the value of $x$.

Evaluate: $(\frac{2}{3} \times \frac{-9}{4}) - (\frac{-5}{6} \div \frac{5}{2})$.

The difference between a rational number and its reciprocal is $\frac{3}{2}$. If the number is greater than 1, find it.

What is the value of $(\frac{7}{5})^2$?

Express $5,00,00,000$ in scientific notation.

Using the power of a power law, what is $(p^3)^4$?

Evaluate $4^1 + 4^0$.

Simplify $(2^4 \times 3^4) \div 6^2$.

If $10^n = 1$, what is the value of $n$?

Find the value of $(\frac{1}{3})^{-2} + (\frac{1}{4})^{-2}$.

Simplify: $\frac{a^{-1} + b^{-1}}{(ab)^{-1}}$.

Find the value of $x$ such that $25^{x-1} = 5^{2x-2}$.

If $x = (3/2)^2 \times (2/3)^{-4}$, find $x$.