Rates And Ratios Pretest

  • CCSS.Math
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1) 3.899 rounded to 2 decimal places is _____

Explanation

When rounding a number to 2 decimal places, we look at the digit in the third decimal place. If this digit is 5 or greater, we round up the second decimal place, and if it is less than 5, we leave the second decimal place as it is. In this case, the digit in the third decimal place is 9, which is greater than 5. Therefore, we round up the second decimal place to 0, resulting in 3.90. Additionally, 3.9 is also a valid answer as it is the rounded version of 3.899 to 1 decimal place.

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About This Quiz
Rates And Ratios Pretest - Quiz

The 'Rates and Ratios Pretest' assesses foundational mathematics skills, focusing on unit conversions, simplifying fractions, and decimal rounding. This quiz is designed to evaluate and enhance learners' understanding of basic mathematical concepts and their practical applications.

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2) If 2/3 = 8/x, what is x?

Explanation

The given equation states that the fraction 2/3 is equal to 8 divided by x. To find the value of x, we can cross multiply. By multiplying 2 and x, we get 2x, and by multiplying 3 and 8, we get 24. Therefore, the equation becomes 2x = 24. To isolate x, we divide both sides of the equation by 2, resulting in x = 12. Hence, the value of x is 12.

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3) Convert 3.6km to m.

Explanation

To convert kilometers to meters, you need to multiply the value by 1000. In this case, 3.6 kilometers multiplied by 1000 equals 3600 meters. Therefore, the correct answer is 3600m.

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4) 30% of 150 is ______

Explanation

To find 30% of a number, we multiply the number by 0.30. In this case, 30% of 150 is calculated as 150 * 0.30 = 45. Therefore, the answer is 45.

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5) Convert 2000mm to cm

Explanation

To convert mm to cm, we need to divide the value in mm by 10. In this case, we have 2000mm, so dividing it by 10 gives us 200cm. Therefore, the correct answer is 200cm.

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6)  2 1/7 as an improper fraction is 23/7

Explanation

The given statement is false. To convert a mixed number to an improper fraction, we multiply the whole number by the denominator of the fraction and add the numerator. In this case, 2 multiplied by 7 is 14, and adding 1 gives us 15. So, 2 1/7 as an improper fraction is 15/7, not 23/7.

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7) Simplify the following: 36/48

Explanation

The given expression can be simplified by dividing both the numerator and denominator by their greatest common divisor, which in this case is 12. Simplifying each fraction step by step, we get 36/48 = 3/4. Therefore, the answer is 3/4.

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8) If x/2 = 21/6, what is x?

Explanation

The equation x/2 = 21/6 can be simplified by multiplying both sides by 2, resulting in x = 21/3. Simplifying further, we find that x equals 7.

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9) Match the following fractions with their correct decimal:
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10) 0.52517 rounded to 2 decimal places is:

Explanation

The number 0.52517, when rounded to 2 decimal places, would be 0.53. This is because the digit in the third decimal place, 5, is greater than or equal to 5, so it causes the digit in the second decimal place, 2, to be rounded up to 3.

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3.899 rounded to 2 decimal places is _____
If 2/3 = 8/x, what is x?
Convert 3.6km to m.
30% of 150 is ______
Convert 2000mm to cm
 2 1/7 as an improper fraction is 23/7
Simplify the following: 36/48
If x/2 = 21/6, what is x?
Match the following fractions with their correct decimal:
0.52517 rounded to 2 decimal places is:
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