Grade 7 Rational Numbers Practice Test

Correct answer: A

The correct answer is A number that can be written as a ratio of two integers with a nonzero denominator.

1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
2. Use equivalent representations: A rational number can be written as $\frac{a}{b}$ where $a$ and $b$ are integers and $b\ne 0$.
3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Correct answer: B

The correct answer is $\frac{3}{4}$.

1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
2. Use equivalent representations: $0.75=\frac{75}{100}=\frac{3}{4}$ after simplifying by 25.
3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Correct answer: C

The correct answer is Division by zero is undefined..

1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
2. Use equivalent representations: A fraction represents division, and division by zero has no defined value.
3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Correct answer: D

The correct answer is $\frac{3}{4}$.

1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
2. Use equivalent representations: Divide the numerator and denominator of $\frac{6}{8}$ by 2 to get $\frac{3}{4}$.
3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Correct answer: A

The correct answer is $\frac{7}{3}$.

1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
2. Use equivalent representations: Multiply the whole number by the denominator and add the numerator: $2\cdot3+1=7$, so the result is $\frac{7}{3}$.
3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Correct answer: B

The correct answer is $\frac{2}{5}$.

1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
2. Use equivalent representations: $0.4=\frac{4}{10}=\frac{2}{5}$ after simplifying.
3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Correct answer: C

The correct answer is $\frac{-5}{1}$.

1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
2. Use equivalent representations: Every integer can be written over 1, so $-5=\frac{-5}{1}$.
3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Correct answer: D

The correct answer is $-\frac{3}{4}$.

1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
2. Use equivalent representations: A negative denominator can be moved to the numerator, so $\frac{3}{-4}=-\frac{3}{4}$.
3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Correct answer: A

The correct answer is The point halfway between -2 and -1.

1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
2. Use equivalent representations: The value $-1.5$ is halfway between $-2$ and $-1$.
3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.

Correct answer: B

The correct answer is $-\frac{1}{2}$.

1. Identify the rational number operation: Determine whether the question asks about a representation, comparison, absolute value, addition, subtraction, multiplication, division, or an equation.
2. Use equivalent representations: $-1<-\frac{1}{2}<0$, so $-\frac{1}{2}$ lies between the two integers.
3. Check the sign and value: Confirm the denominator is nonzero, apply the operation in the correct order, and check whether the result is reasonable.