Number Theory and Fractions Unit Test

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Question
Mary ate 412 pears and Carmie ate 724 pears. If they finished all the pears in a box, how many pears were in the box?(1 point)
Responses

1136
11 Start Fraction 3 over 6 End Fraction

12
12

11
11

1114
11 Start Fraction 1 over 4 End Fraction
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To find the total number of pears in the box, we need to add the number of pears Mary ate (412) to the number of pears Carmie ate (724).

412 + 724 = 1136

Therefore, the correct answer is 1136.

A group of students was surveyed about their favorite vegetable. Green beans were chosen by 0.35 of the students, broccoli was chosen by 0.2 of the students, peas were chosen by 14 of the students, and corn was chosen by 20% of the students. Which vegetable was chosen by the greatest number of students? In your response, enter 1 for green beans, 2 for broccoli, 3 for peas, or 4 for corn.(1

To find the vegetable chosen by the greatest number of students, we need to compare the percentages given for each vegetable.

0.35 is equal to 35%, 0.2 is equal to 20%, 14 is equal to 14%, and 20% is equal to 20%.

Comparing these percentages, we see that peas were chosen by the greatest number of students with a percentage of 14%.

Therefore, the correct answer is 3 for peas.

What is the fractional equivalent of 2.125?(1 point)

Responses

218
2 Start Fraction 1 over 8 End Fraction

128
1 Start Fraction 2 over 8 End Fraction

238
2 Start Fraction 3 over 8 End Fraction

216

To find the fractional equivalent of 2.125, we need to express it as the sum of whole numbers and fractional parts.

2.125 is equal to 2 + 0.1 + 0.02 + 0.005.

Simplifying this, we get 2 + 1/10 + 2/100 + 5/1000.

Combining the fractions, we get 2 + 1/10 + 2/100 + 5/1000 = 2 + 125/1000.

Simplifying the fraction, we get 2 + 125/1000 = 2 + 1/8.

Therefore, the correct answer is 2 1/8.