Forward Grade 7 The Number System. Practice it free.

Applies and extends previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. This Grade 7 reporting domain maps to 3 practice skills and 8 representative questions from the playable bank.

Grade 73 mapped skills

What the test measures

The Number System skills

Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers
Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers
Solve real-world and mathematical problems involving the four operations with rational numbers
Understand that the absolute value of a rational number is its distance from 0 on the number line
Use properties of operations to generate equivalent expressions

Standards basis

Wisconsin Standards for Mathematics — Wisconsin

How the Forward reports it

Wisconsin’s Forward Exam is a state assessment designed to measure students against the recently updated Wisconsin Academic Standards, rather than a separate national framework. The official Forward Exam page confirms the math assessment is administered in grades 3-8 and is aligned to the Wisconsin Academic Standards, but it does not publish a math-specific blueprint on the page itself.

Blueprint & weighting

Not published in the official Forward Exam page content available here. The page confirms alignment to Wisconsin Academic Standards and administration in grades 3-8, but no math blueprint percentages or reporting-category weights are provided on the page content retrieved.

Official sources

Wisconsin DPI Forward Exam
Wisconsin DPI Mathematics in Wisconsin

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is $|0|$ ?

$0$ is its own distance from $0$ , so $|0| = 0$ .

Practice playeasy

What is $-2 - (-4)$ ?

Result: $2$ .

Practice playmedium

Which integer is closest to $-\dfrac{29}{6}$ on the real number line?

$-\dfrac{29}{6} \approx -4.83$ . Compare distances: $|{-5} - (-4.83)| \approx 0.17$ and $|{-4} - (-4.83)| \approx 0.83$ . The closest integer is $-5$ .

Practice playeasy

What is $|5 - 4|$ ?

First compute the difference: $5 - 4 = 1$ . Then take the absolute value: $|1| = 1$ .

Practice playeasy

What is $-5 + 8$ ?

Result: $3$ .

Practice playhard

How many integers satisfy $-\dfrac{11}{2} < x \leq 4$ ?

$-\dfrac{11}{2} = -5.5$ , so integers greater than $-5.5$ start at $-5$ ; the closed upper bound includes $4$ . Integers: $-5, -4, \ldots, 0, \ldots, 4$ ; $0$ is an integer and must be counted. Total: $4 - (-5) + 1 = 10$ ; the $+1$ counts both $-5$ and $4$ inclusive.