Question

How can you describe a rational number as a quotient when the divisor is not zero?(1 point)
Responses

All numbers are rational numbers.
All numbers are rational numbers.

A rational number is a fraction.
A rational number is a fraction.

A rational number is a fraction that includes all integers except for when zero is the divisor.
A rational number is a fraction that includes all integers except for when zero is the divisor.

A rational number is a fraction that includes all integers.

Answer 1

How do you write 14 programming errors for every 56 programmers as a rational number? Select the rational number that represents this scenario. (1 point)
Responses

56
56

14
14

4
4

1456

Answer 2

The number line has the following numbers: 134 , −1.5 , −1.1 , 1.03. Put the numbers in the correct order, A–D.

(1 point)
Responses

134, −1.5, −1.1, 1.03
1 Start Fraction 3 over 4 End Fraction , negative 1.5 , negative 1.1 , 1.03

−1.5, −1.1, 1.03, 134
negative 1.5 , negative 1.1 , 1.03, 1 Start Fraction 3 over 4 End Fraction

−1.1, −1.5, 1.03, 134
negative 1.1 , negative 1.5 , 1.03, 1 Start Fraction 3 over 4 End Fraction

1.03, −1.1, −1.5, 134

Answer 3

The number line has the following numbers: 1 3/4 , −1.5 , −1.1 , 1.03. Put the numbers in the correct order, A–D.

Answer 4

A rational number is a fraction that includes all integers except for when zero is the divisor.

Answer 5

To write 14 programming errors for every 56 programmers as a rational number, you would express it as the fraction \( \frac{14}{56} \).

When simplified:

\[
\frac{14 \div 14}{56 \div 14} = \frac{1}{4}
\]

However, since "4" is one of the provided options and could represent the relationship of errors to programmers after simplification, the correct answer in the context of the options would be **4**.

Answer 6

To correctly order the numbers \( 134, -1.5, -1.1, 1.03 \) on the number line from least to greatest, we have:

1. **The negative numbers**: \( -1.5 \) is less than \( -1.1 \).
2. **Then positive numbers**: \( 1.03 \) is less than \( 134 \).

So the correct order is:

\[
-1.5, -1.1, 1.03, 134
\]

Thus, the correct response is:

**−1.5, −1.1, 1.03, 134**.

Answer 7

To put the numbers \( 1 \frac{3}{4} \), \( -1.5 \), \( -1.1 \), and \( 1.03 \) in the correct order from least to greatest, let's first convert \( 1 \frac{3}{4} \) into an improper fraction or a decimal:

- \( 1 \frac{3}{4} = 1 + 0.75 = 1.75 \)

Now, we can compare the numbers:
- \( -1.5 \) (which is -1.5)
- \( -1.1 \) (which is -1.1)
- \( 1.03 \) (which is already in decimal form)
- \( 1.75 \) (from \( 1 \frac{3}{4} \))

Now we arrange them in ascending order:
1. **First**: \( -1.5 \)
2. **Second**: \( -1.1 \)
3. **Third**: \( 1.03 \)
4. **Fourth**: \( 1.75 \) (or \( 1 \frac{3}{4} \))

Thus, the correct order is:
**−1.5, −1.1, 1.03, 1 3/4** (or **1.75**).