Forward Grade 8 The Number System. Practice it free.

Knows that there are numbers that are not rational and works with rational and irrational numbers. This Grade 8 reporting domain maps to 3 practice skills and 8 representative questions from the playable bank.

Grade 83 mapped skills

What the test measures

The Number System skills

Know that numbers that are not rational are called irrational
Approximate irrational numbers by rational numbers
Use numbers expressed in the form of a single square root to represent numbers
Perform operations with scientific notation
Use rational approximations of irrational numbers to compare the size of irrational numbers

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 integer is closest to $\sqrt{120}$ ?

$11^2 = 121$ sits right above $120$ and $\sqrt{120} \approx 10.95$ , so the closest integer is $11$ .

Practice playmedium

What is $(5 \times 10^{-3})(4 \times 10^{-2})$ in scientific notation?

Multiply coefficients and add exponents: $5 \cdot 4 = 20$ and $-3+(-2)=-5$ , giving $20 \times 10^{-5}$ . Rewrite $20=2 \times 10^{1}$ , so $2 \times 10^{1} \times 10^{-5}=2 \times 10^{-4}\textsf{.}$

Practice playeasy

What is $\sqrt{144}$ ?

$12 \times 12 = 144$ , so $\sqrt{144} = 12$ .

Practice playeasy

What is the integer part of $\sqrt{10} + 2$ ?

$\sqrt{10} \approx 3.16$ , so $\sqrt{10} + 2 \approx 5.16$ ; the integer part is $5$ .

Practice playmedium

$\dfrac{6.3 \times 10^{-4}}{2.1 \times 10^{-9}}=$

Divide coefficients and subtract exponents: $6.3 \div 2.1 = 3$ and $-4-(-9)=5$ . So the quotient is $3 \times 10^{5}\textsf{.}$

Practice playeasy

Evaluate $\sqrt[3]{125}$ .

$5 \times 5 \times 5 = 125$ , so $\sqrt[3]{125} = 5$ .

Practice playeasy

Which is closest to $\pi$ ?

$\pi \approx 3.14159$ .

Practice playmedium

$(4 \times 10^{3})(5 \times 10^{4})$ equals

Multiply coefficients and add exponents: $4 \cdot 5 = 20$ and $3+4=7$ , giving $20 \times 10^{7}$ . Rewrite as $2 \times 10^{1} \times 10^{7}=2 \times 10^{8}\textsf{.}$