Convert 5 18/25

to a decimal.(1 point)
Responses

5.72
5.72

5.1825
5.1825

0.72
0.72

5.9
5.9

11 answers

To convert the mixed number \(5 \frac{18}{25}\) to a decimal, you first convert the fraction part \( \frac{18}{25} \) to a decimal.

  1. Divide 18 by 25: \[ 18 \div 25 = 0.72 \]

  2. Now, add the whole number part (5) to the decimal: \[ 5 + 0.72 = 5.72 \]

Thus, \(5 \frac{18}{25}\) as a decimal is 5.72.

The correct response is: 5.72

The decimal 0.013 can be written as(1 point)
Responses

13100
13 over 100

1310000
13 over 10000

1.310
1 point 3 over 10

131000

To convert the decimal \(0.013\) to a fraction, we recognize that this number is in the thousandths place.

  1. We can express \(0.013\) as: \[ \frac{13}{1000} \]

Now let's look at the responses:

  • 13100: Incorrect.
  • 13 over 100: Incorrect, as this would equal \(0.13\).
  • 1310000: Incorrect.
  • 13 over 10000: Incorrect, as this would equal \(0.0013\).
  • 1.310: Incorrect.
  • 1 point 3 over 10: Incorrect.

None of the provided options correctly represent \(0.013\) as a fraction.

However, if the options were meant to say \(0.013\) can be expressed as \(\frac{13}{1000}\), that would be correct.

If you need the best match from the responses, please provide options again!

The decimal 0.013 can be written as(1 point)
Responses

13/100
13 over 100

13/10000
13 over 10000

1.3/10
1 point 3 over 10

13/1000

The decimal \(0.013\) can be written as a fraction.

To express \(0.013\) in fraction form:

  • It is equal to \(\frac{13}{1000}\).

Now, looking at the responses you provided:

  • 13/100: Incorrect, as this represents \(0.13\).
  • 13 over 100: Incorrect.
  • 13/10000: Incorrect, as this represents \(0.0013\).
  • 13 over 10000: Incorrect.
  • 1.3/10: Incorrect, as this represents \(0.13\).
  • 13/1000: Correct, as this represents \(0.013\).

The correct answer is: 13/1000.

Which fraction is equal to 0.75?(1 point)
Responses

7/5
7 fifths

3/5
3 fifths

1/4
1 fourth

3/4

To determine which fraction is equal to \(0.75\), we can convert \(0.75\) to a fraction:

  1. The decimal \(0.75\) can be expressed as: \[ \frac{75}{100} \]

  2. Simplifying \(\frac{75}{100}\) by dividing both the numerator and the denominator by 25 gives: \[ \frac{75 \div 25}{100 \div 25} = \frac{3}{4} \]

Now, let's look at the provided responses:

  • 7/5: Incorrect (this is \(1.4\)).
  • 3/5: Incorrect (this is \(0.6\)).
  • 1/4: Incorrect (this is \(0.25\)).
  • 3/4: Correct (this is \(0.75\)).

The correct answer is: 3/4.

Write 13/25
as a decimal.(1 point)
Responses

0.65
0.65

0.52
0.52

0.1325
0.1325

0.052

To convert the fraction \( \frac{13}{25} \) to a decimal, you can divide the numerator (13) by the denominator (25):

  1. Performing the division: \[ 13 \div 25 = 0.52 \]

Now, let's check the provided responses:

  • 0.65: Incorrect.
  • 0.52: Correct.
  • 0.1325: Incorrect.
  • 0.052: Incorrect.

The correct answer is: 0.52.

How is the sign of the quotient determined?(1 point)
Responses

The sign of the quotient is the same as the larger number.
The sign of the quotient is the same as the larger number.

The quotient is negative if signs of the divisor and dividend are the same.
The quotient is negative if signs of the divisor and dividend are the same.

The quotient is positive if signs of the divisor and dividend are the same.
The quotient is positive if signs of the divisor and dividend are the same.

The sign of the quotient is the same as the smaller number.

The rules for determining the sign of the quotient when dividing two numbers (the dividend and the divisor) are as follows:

  • If both the dividend and the divisor have the same sign (both positive or both negative), the quotient is positive.
  • If the dividend and the divisor have different signs (one positive and one negative), the quotient is negative.

Based on the options provided, the correct response is:

The quotient is positive if the signs of the divisor and dividend are the same.