Math / Numbers & Operations

QuestionA) -1.1 B) 0.1
2. Which number is a not a rational number?
2. $\qquad$ C) -0.1 A) $\sqrt{16}$ B) $\pi$ C) -5 D) 2
3. What number is equivlant to $\frac{-2}{3}$ ?
3. $\qquad$ A) $\frac{2}{3}$ B) $\frac{-3}{6}$ C) $\frac{-4}{-6}$ D) $\frac{-4}{6}$
4. $\qquad$
4. Evaluate: $\frac{-2}{5}+\left(\frac{3}{5}\right)$ A) $\frac{1}{10}$ B) $\frac{1}{5}$ C) $\frac{-1}{5}$ D) $\frac{-6}{25}$ 5.

Studdy Solution

STEP 1

1. Rational numbers can be expressed as a fraction of two integers.
2. The number $\pi$ is known to be irrational.
3. Equivalent fractions have the same value when simplified.
4. Addition of fractions requires a common denominator.

STEP 2

1. Identify the irrational number.
2. Determine the equivalent fraction.
3. Evaluate the sum of fractions.

STEP 3

Identify which number is not a rational number from the list.
- A rational number can be expressed as a fraction of two integers. - $\sqrt{16} = 4$ , which is rational. - $\pi$ is known to be irrational. - $-5$ is an integer, hence rational. - $2$ is an integer, hence rational.
The number that is not a rational number is:
$\boxed{\pi}$

STEP 4

Determine which fraction is equivalent to $\frac{-2}{3}$ .
- $\frac{2}{3}$ is positive, not equivalent. - $\frac{-3}{6}$ simplifies to $\frac{-1}{2}$ , not equivalent. - $\frac{-4}{-6}$ simplifies to $\frac{2}{3}$ , not equivalent. - $\frac{-4}{6}$ simplifies to $\frac{-2}{3}$ , equivalent.
The equivalent fraction is:
$\boxed{\frac{-4}{6}}$

STEP 5

Evaluate the expression $\frac{-2}{5} + \frac{3}{5}$ .
- Both fractions have the same denominator, so add the numerators:
$\frac{-2 + 3}{5} = \frac{1}{5}$
The result of the evaluation is:
$\boxed{\frac{1}{5}}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms