i-Ready Grade 8 The Number System Practice

The Number System skills

Know that there are numbers that are not rational, and approximate them by rational numbers

Work with radicals and integer exponents

Standards basis

Common Core State Standards (CCSS-M)-aligned domains; also aligned to state standards such as Virginia 2023 Mathematics Standards of Learning — national

How the i-Ready reports it

i-Ready Diagnostic is a vendor-developed adaptive assessment, not a state test, but Curriculum Associates reports results and alignment against state standards such as Virginia SOL. The math coverage is organized by grade-level content domains that closely track Common Core-style strands rather than a single fixed claim structure.

Blueprint & weighting

No official per-domain blueprint or item-weight percentages were found on the official product page; i-Ready publishes adaptive diagnostic results and domain placements rather than a public fixed-item weight table.

Official sources

Curriculum Associates: i-Ready Learning
Virginia Department of Education: 2023 Mathematics Standards

8 free questions · 0/0 correct

Practice playeasy

Simplify: $\dfrac{b^{8}}{b^{4}}$ .

The Quotient of Powers Property says that powers with the same nonzero base are divided by subtracting the exponents, written $\dfrac{b^{m}}{b^{n}} = b^{m-n}\textsf{.}$ Here both the numerator and the denominator have base $b$ , so $\dfrac{b^{8}}{b^{4}} = b^{8-4} = b^{4}\textsf{.}$

Practice playhard

Let $f(t) = 3e^{2t} + 10$ . Which of the following approximations, written as $a \times 10^n$ with one significant digit, is closest to the value of $f(5)$ ?

Substitute $t = 5$ : $f(5) = 3e^{10} + 10$ . Since $e^{10} \approx 22{,}026$ , $f(5) \approx 3(22{,}026) + 10 = 66{,}088 \approx 7 \times 10^{4}$ .

Practice playeasy

Write $720{,}000$ as $a \times 10^n$ where $1 \le a < 10$ . What is $n$ ?

$720{,}000 = 7.2 \times 10^5$ , so $n = 5$ .

Practice playmedium

What is $\dfrac{9 \times 10^{-6}}{3 \times 10^{2}}$ ?

Divide coefficients and subtract exponents: $9 \div 3 = 3$ and $-6-2=-8$ . So $\dfrac{9 \times 10^{-6}}{3 \times 10^{2}}=3 \times 10^{-8}\textsf{.}$

Practice playeasy

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

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

Practice playeasy

$\sqrt{27}$ lies between two consecutive integers. Enter the larger one.

$5^2 = 25 < 27 < 36 = 6^2$ , so $\sqrt{27}$ is between $5$ and $6$ ; the larger is $6$ .

Practice playeasy

Simplify: $y^0$ (where $y \neq 0$ ).

The Zero Exponent Property says that any nonzero base raised to the zero power equals one, written $y^{0} = 1\textsf{.}$ The stem states that $y \neq 0$ , so the property applies and the expression simplifies to $1\textsf{.}$

Practice playhard

Let $f(t) = 6e^{2t}$ . Which of the following approximations, written as $a \times 10^n$ with one significant digit, is closest to the value of $f(5)$ ?