1.
Change 2 36/100 to a decimal.
Correct Answer
C. 2.36
Explanation
To change a fraction to a decimal, divide the numerator (36) by the denominator (100). In this case, 36 divided by 100 equals 0.36. Therefore, the correct decimal representation for 36/100 is 0.36.
2.
Write three hundred and sixteen thousandths as a decimal.
Correct Answer
A. 300.016
Explanation
The given question asks for the decimal representation of three hundred and sixteen thousandths. The correct answer is 300.016, as it represents 300 whole units, 1 tenth, and 6 thousandths.
3.
Change 3 2/3 to a decimal.
Correct Answer
C. 3.66
Explanation
To change a mixed number to a decimal, we first convert the whole number to a decimal by simply writing it as it is. Then, we divide the numerator of the fraction by the denominator to get the decimal part. In this case, the whole number is 3. The fraction is 2/3. Dividing 2 by 3 gives us 0.66. Therefore, the decimal representation of 3 2/3 is 3.66.
4.
Change 0.4 to a fraction in lowest terms.
Correct Answer
B. 2/5
Explanation
To change 0.4 to a fraction in lowest terms, we need to express it as a fraction with a numerator and denominator that have no common factors other than 1. The decimal 0.4 can be written as 4/10. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2. Dividing both 4 and 10 by 2 gives us 2/5. Therefore, the fraction 2/5 is the lowest term representation of 0.4.
5.
Change 8.9 to a fraction in lowest terms.
Correct Answer
A. 8 9/10
Explanation
The given number, 8.9, can be written as a mixed number, 8 9/10. In this form, the whole number part is 8, and the fraction part is 9/10. The fraction 9/10 cannot be simplified any further, so it is already in its lowest terms. Therefore, the correct answer is 8 9/10.
6.
Change 9.75 to a fraction in lowest terms.
Correct Answer
C. 9 3/4
Explanation
The given decimal number 9.75 can be written as a mixed number by separating the whole number part (9) from the decimal part (0.75). The decimal part can be converted to a fraction by placing the digits after the decimal point (75) over a denominator of 100. Simplifying this fraction gives us 3/4. Therefore, the correct answer is 9 3/4.
7.
Change .68 to a percent.
Correct Answer
B. 68%
Explanation
The given answer is 68% because to convert a decimal to a percentage, we move the decimal point two places to the right and add the percentage symbol. In this case, we move the decimal point in .68 two places to the right, resulting in 68%.
8.
Change 7 to a percent.
Correct Answer
A. 700%
Explanation
To change a number to a percent, we move the decimal point two places to the right and add a percent symbol. In this case, the number 7 is changed to 700% by moving the decimal point two places to the right.
9.
Change 17/100 to a percent.
Correct Answer
C. 17%
Explanation
To change a decimal to a percent, we move the decimal point two places to the right. In this case, 17/100 is already a decimal, so we can simply move the decimal point two places to the right to get 17%. Therefore, the correct answer is 17%.
10.
Change 21/25 to a percent.
Correct Answer
C. 84%
Explanation
To change a fraction to a percent, you need to divide the numerator (21) by the denominator (25) and then multiply the result by 100. In this case, 21 divided by 25 is 0.84. Multiplying 0.84 by 100 gives us 84%. Therefore, the correct answer is 84%.
11.
Change 6/6 to a percent.
Correct Answer
B. 100%
Explanation
The answer is 100% because when we change a fraction with a denominator of 6 to a percent, we divide the numerator (6) by the denominator (6) and multiply by 100. This gives us 100%.
12.
Change .37 to a percent.
Correct Answer
A. 37%
Explanation
To change a decimal to a percent, we multiply it by 100. In this case, we need to change .37 to a percent. By multiplying .37 by 100, we get 37%. Therefore, the correct answer is 37%.
13.
Change 1.2 to a percent.
Correct Answer
B. 120%
Explanation
The given question asks for the conversion of 1.2 to a percent. The correct answer is 120%. This is because to convert a decimal to a percent, we multiply it by 100. So, 1.2 multiplied by 100 equals 120, and adding the percent symbol gives us 120%.
14.
Change 74% to a fraction in lowest terms.
Correct Answer
A. 37/50
Explanation
To convert a percentage to a fraction, we divide the percentage by 100 and simplify the resulting fraction. In this case, dividing 74 by 100 gives us 37/50. Therefore, the correct answer is 37/50.
15.
Change 2.5% to a fraction in lowest terms.
Correct Answer
C. 2 1/2
Explanation
The given answer, 2 1/2, is the correct fraction in lowest terms for the decimal 2.5%. To convert a decimal to a fraction, we divide it by 100 and simplify if possible. In this case, 2.5% is equal to 2.5/100, which simplifies to 1/40. However, the fraction 1/40 is an improper fraction, so we can convert it to a mixed number by dividing the numerator (1) by the denominator (40). The quotient is 0 with a remainder of 1, so the mixed number is 0 1/40, which can be further simplified to 2 1/2.
16.
For each fraction shown above write their value as a fraction, a decimal and a percent.
Correct Answer
A. 1/3, .33, 33%
B. 1/2, .5, 50%.
C. 3/6, .5, 50%
Explanation
The fractions in answer A, B, and C are all correctly converted into decimals and percentages. In answer A, 1/3 is equal to 0.33 as a decimal and 33% as a percentage. In answer B, 1/2 is equal to 0.5 as a decimal and 50% as a percentage. In answer C, 3/6 simplifies to 1/2, which is equal to 0.5 as a decimal and 50% as a percentage.
17.
What is 10% of $24.00?
Correct Answer
B. $2.40
Explanation
To find 10% of $24.00, we can multiply $24.00 by 0.10. This gives us $2.40, which is the correct answer.
18.
What is 50% of 94?
Correct Answer
C. 47
Explanation
To find 50% of a number, we divide the number by 2. In this case, dividing 94 by 2 gives us 47, which is the correct answer.
19.
What is 11% of $35.00?
Correct Answer
A. $3.85
Explanation
To find 11% of $35.00, you can multiply $35.00 by 0.11. This calculation gives you $3.85, which is the correct answer.
20.
16 is 10% of what number?
Correct Answer
C. 160
Explanation
The question asks for a number that is 10% of 16. To find this number, we divide 16 by 0.10 (which is the decimal form of 10%). Dividing 16 by 0.10 gives us 160, which means that 16 is indeed 10% of 160. Therefore, the correct answer is 160.
21.
$2.40 is 1% of what number?
Correct Answer
B. $240
Explanation
To find the number, we need to divide $2.40 by 1% (or 0.01). When we do this calculation, we get $240. Therefore, $2.40 is 1% of $240.
22.
What is 200% of 19?
Correct Answer
C. 38
Explanation
To find 200% of a number, you multiply the number by 2. In this case, 19 multiplied by 2 equals 38. Therefore, 38 is 200% of 19.
23.
Jean got 6 out of 10 on her Math quiz. What percent did she get?
Correct Answer
C. 60%
Explanation
Jean got 6 out of 10 on her Math quiz, which means she answered 6 questions correctly. To find the percentage, we divide the number of correct answers (6) by the total number of questions (10) and multiply by 100. Therefore, Jean got 60% on her Math quiz.
24.
50% of a number is 12, What is the number?
Correct Answer
A. 24
Explanation
If 50% of a number is 12, it means that half of the number is equal to 12. To find the whole number, we can double 12, which gives us 24. Therefore, the number is 24.