Introduction to Rational Numbers Quick Check
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Question
How can you describe a rational number as a quotient when the divisor is not zero?(1 point)
Responses
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.
All numbers are rational numbers.
All numbers are rational numbers.
A rational number is a fraction that includes all integers.
How do you write 14 programming errors for every 56 programmers as a rational number? Select the simplified rational number that represents this scenario.(1 point)
Responses
56
56
14
14
14
Start Fraction 1 over 4 End Fraction
1456
To write the given scenario as a rational number, we can use the fact that a rational number is a fraction.
The number of programming errors (14) can be the numerator of the fraction, and the number of programmers (56) can be the denominator.
Therefore, the simplified rational number that represents this scenario is:
14/56 or, simplifying it further, 1/4.
Use the image to answer the question.
A number line ranging from negative five to five with arrows at both ends shows 0 labeled in the middle. Points upper A through upper D are plotted from left to right. Points upper A and upper B are located in between negative 2 and negative 1. Point upper A is approximately half-way between the first and second tick mark to the left of zero. Point upper B is just beyond the tick mark to the left of zero. Points upper C and upper D are in between positive 1 and positive 2. Point upper C is just beyond the first tick mark to the right of zero. Point D is closer to the second tick mark to the right of zero.
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
1.03, −1.1, −1.5, 134
1.03, negative 1.1 , negative 1.5 , 1 Start Fraction 3 over 4 End Fraction
−1.5, −1.1, 1.03, 134
negative 1.5 , negative 1.1 , 1.03, 1 Start Fraction 3 over 4 End Fraction
134, −1.5, −1.1, 1.03
1 Start Fraction 3 over 4 End Fraction , negative 1.5 , negative 1.1 , 1.03
−1.1, −1.5, 1.03, 134
negative 1.1 , negative 1.5 , 1.03, 1 Start Fraction 3 over 4 End Fraction
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Based on the given information, the correct order for the numbers on the number line from left to right would be:
−1.5, −1.1, 1.03, 134
Use the image to answer the question.
A number line with arrows at both ends shows 0 labeled in the middle. Three tick marks are evenly spaced before and after the 0. Points upper A through upper E are plotted from left to right. Points upper A and upper B are to the left of 0 and are plotted in between the second and third tick marks. Point upper A is closer to the second tick mark to the left of zero. Point upper B is closer to the first tick mark to the left of zero. Points upper C through upper E are to the right of 0. Point upper C is in between 0 and the first tick mark. Point upper D is in between the second and third tick marks and and upper E is located after the third tick mark.
The following numbers are shown on the number line: −1.8, 0.8, 3.1, −1.2, 234. Which number is represented by point B?
(1 point)
Responses
234
2 Start Fraction 3 over 4 End Fraction
−1.8
negative 1.8
−1.2
negative 1.2
0.8
0.8
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Based on the given information, the number represented by point B is -1.8.
Which of the following is a rational number?(1 point)
Responses
7.8
7.8
7–√
square root of 7
7.9837377283...
7.9837377283...
π
The rational number among the given options is 7.8.
How do you write 14 programming errors for every 56 programmers as a rational number? Select the simplified rational number that represents this scenario.(1 point)
Responses
56
56
1456
Start Fraction 14 over 56 End Fraction
14
Start Fraction 1 over 4 End Fraction
14
To write the given scenario as a rational number, we can use the fact that a rational number is a fraction.
The number of programming errors (14) can be the numerator of the fraction, and the number of programmers (56) can be the denominator.
Therefore, the simplified rational number that represents this scenario is:
14/56 or, simplifying it further, 1/4.