Question

What type of number is 12/3


A.
whole number

B.
integer

C.
rational

D.
irrational

Answer 1

The number \( \frac{12}{3} \) simplifies to \( 4 \).

- A whole number is a positive integer or zero, so 4 is a whole number.
- An integer includes both positive and negative whole numbers and zero, so 4 is an integer.
- A rational number is any number that can be expressed as the quotient of two integers, so \( \frac{12}{3} \) is a rational number.
- An irrational number is a number that cannot be expressed as a fraction of two integers.

Given the options, the correct answers would be:

A. whole number
B. integer
C. rational

So, \( \frac{12}{3} \) is a whole number, an integer, and a rational number.

Answer 2

sovle √64

Answer 3

The square root of \( 64 \) is \( 8 \), since \( 8 \times 8 = 64 \). So, \( \sqrt{64} = 8 \).

Answer 4

√27is between which two whole numbers on the number line?


A.
3 and 4

B.
4 and 5

C.
5 and 6

D.
6 and 7

Answer 5

To determine between which two whole numbers \( \sqrt{27} \) falls, we can find the squares of the whole numbers around it.

- \( 3^2 = 9 \)
- \( 4^2 = 16 \)
- \( 5^2 = 25 \)
- \( 6^2 = 36 \)

Since \( 27 \) is between \( 25 \) (which is \( 5^2 \)) and \( 36 \) (which is \( 6^2 \)), it follows that:

\[
5 < \sqrt{27} < 6
\]

Thus, \( \sqrt{27} \) is between **5 and 6**.

The correct answer is:

**C. 5 and 6**.

Answer 6

solve √64/121 A.
64/121

B.
8/11

C.
4/11

D.
32/

Answer 7

To solve \( \sqrt{\frac{64}{121}} \), we can use the property of square roots that states:

\[
\sqrt{\frac{a}{b}} = \frac{\sqrt{a}}{\sqrt{b}}
\]

Applying this property:

\[
\sqrt{\frac{64}{121}} = \frac{\sqrt{64}}{\sqrt{121}}
\]

We know that:

\[
\sqrt{64} = 8 \quad \text{and} \quad \sqrt{121} = 11
\]

Thus:

\[
\sqrt{\frac{64}{121}} = \frac{8}{11}
\]

So the answer is:

**B. \( \frac{8}{11} \)**.

Answer 8

Is the following number rational or irrational?
.0692


A.
rational

B.
irrational

Answer 9

The number \( 0.0692 \) can be expressed as a fraction. For example, it can be written as \( \frac{692}{10000} \). Since it can be represented as the quotient of two integers, it is classified as a rational number.

Thus, the correct answer is:

**A. rational**.