DC CAPE Grades 6-8 The Number System. Practice it free.

This domain addresses operations with fractions, integers, and rational numbers. This Grades 6-8 reporting domain maps to 5 practice skills and 8 representative questions from the playable bank.

Grades 6-8The Number System5 mapped skills

What the test measures

The Number System skills

apply and extend previous understandings of multiplication and division to divide fractions by fractions
compute fluently with multi-digit numbers and find common factors and multiples
apply and extend previous understandings of numbers to the system of rational numbers

Standards basis

Common Core State Standards (CCSS-M) — District of Columbia

How the DC CAPE reports it

DC CAPE math continues DC’s PARCC-era alignment to the Common Core State Standards and uses the same general development/review approach described by OSSE. The page says DC Math follows the same rigorous development and review process and measures the knowledge and skills that matter most for DC students, while also explicitly tying the assessments to CCSS.

Blueprint & weighting

DC CAPE uses the PARCC-derived / Common Core-based framework (by grade domains structure).

Official sources

OSSE DC CAPE
OSSE DC CAPE page content on CCSS and test specifications

Practice by skill

Topics mapped to this domain

Try it now

8 free questions · 0/0 correct

Practice playeasy

What is $|8|$ ?

The absolute value of a non-negative number is itself: $|8| = 8$ .

Practice playeasy

What is $6.07 - 4.71$ ?

$6.07 - 4.71 = 1.36$ .

Practice playeasy

What is $-5 + 8$ ?

Result: $3$ .

Practice playeasy

What is $\dfrac{3}{9} \div \dfrac{5}{8}$ ?

Multiply by the reciprocal: $\dfrac{3}{9} \times \dfrac{8}{5} = \dfrac{24}{45} = \dfrac{8}{15}$ .

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.