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.

7 answers

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

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

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.

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

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.

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.

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).