Unit 1: Rational Numbers Review

Unit 1: Rational Numbers Test Review

7th Grade
Ms. Richardson


Please remember: This is a grade, and you will not be able to use this on your test.

​Rational Number Sets

​Rational

Integer

​

​Whole

​Natural

You need to know:

1. The order of the sets.

2. What kind of number belongs in each set.

Multiple Choice

Which diagram best represents the relationship among integers, rational numbers, and whole numbers?

Multiple Choice

Which number would most specifically belong to the Rational Number set?

• -9

• 5 $$\frac{1}{4}$$

• 0

• 10,000

Fill in the Blanks

If I had to classify 0 in the most specific number set, which category would it belong to: rational, integer, whole, natural

Multiple Choice

If I had to classify 150 in the most specific number set, which category would it belong to: rational, integer, whole, natural

• Rational

• Integer

• Whole

• Natural

Multiple Choice

If I had to classify $$-\frac{1}{5}$$ in the most specific number set, which category would it belong to: rational, integer, whole, natural

• Rational

• Integer

• Whole

• Natural

Multiple Choice

If I had to classify - $$\frac{8}{4}$$ in the most specific number set, which category would it belong to: rational, integer, whole, natural

• Rational

• Integer

• Whole

• Natural

​Rules:

​Multiplying and Dividing Integers

Multiplication-
DO NOT LINE UP, multiply, move decimal over total number of spaces.
 


Division-
You CANNOT have a decimal in the divisor. Decimal goes straight up to where you moved in the dividend.

​Fractions

​Multiplying and Dividing Fractions and Decimals

​Decimals

Fill in the Blanks

What is the value of the expression −8×3.3 in decimal form?

Fill in the Blanks

What is the value of the expression $5.5\times-11.5$

Fill in the Blanks

What is the value of the expression 48.65 $\div$ 3.5

Fill in the Blanks

Solve:
$2\ \frac{1}{3}\times5$

Fill in the Blanks

Solve: $1\ \frac{2}{3}\div\frac{1}{8}$

1. Multiply denominators

2. Cross multiply both fractions

3. Add or subtract products in the numerator, keep denominator & simplify

​Short Cut

1. Convert to improper

2. Find Least Common Denominator (LCD)

3. Create Equivalent Fractions

4. Follow operation for numerator, keep denominator and simplify if needed

​Steps:

Fraction- Addition and Subtraction

Multiple Choice

Solve:

$$\frac{1}{2}+2\ \frac{1}{3}+\frac{3}{4}$$

• $$3\ \frac{5}{3}$$

• $$3\ \frac{5}{6}$$

• $$3\ \frac{4}{12}$$

• $$3\ \frac{7}{12}$$

Multiple Choice

Solve:

$$35\ \frac{1}{4}-30\ \frac{3}{8}$$

• $$4\ \frac{7}{8}$$

• $$4\ \frac{1}{8}$$

• $$5\ \frac{7}{8}$$

• $$5\ \frac{1}{8}$$