Pre-algebra Preview Readiness Test

1) Order numbers from least to greatest. 0.4, 4.4, 4.2, 1.4, 2.4

(Use commas to separate multiple answers.)

The given numbers are ordered from least to greatest by comparing the tenths place first. Since 0.4 has the smallest value in the tenths place, it is placed first. Then, the numbers are compared in the ones place. Among 1.4, 2.4, 4.2, and 4.4, 1.4 has the smallest value in the ones place, so it is placed second. Continuing this process, 2.4 is placed third, followed by 4.2 in the fourth position, and finally 4.4 in the fifth position. Therefore, the correct order is 0.4, 1.4, 2.4, 4.2, 4.4.

Explanation

The given numbers are ordered from least to greatest by comparing the tenths place first. Since 0.4 has the smallest value in the tenths place, it is placed first. Then, the numbers are compared in the ones place. Among 1.4, 2.4, 4.2, and 4.4, 1.4 has the smallest value in the ones place, so it is placed second. Continuing this process, 2.4 is placed third, followed by 4.2 in the fourth position, and finally 4.4 in the fifth position. Therefore, the correct order is 0.4, 1.4, 2.4, 4.2, 4.4.

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2) Round to the place value of the underlined digit. 100,234,222

The given number is 100,234,222. The underlined digit is the 2 in the millions place. To round to the place value of the underlined digit, we look at the digit to the right of it, which is 2. Since 2 is less than 5, we do not need to round up. Therefore, the rounded number is 100,234,200. The final answer is 100,234,200,100234200.

Explanation

The given number is 100,234,222. The underlined digit is the 2 in the millions place. To round to the place value of the underlined digit, we look at the digit to the right of it, which is 2. Since 2 is less than 5, we do not need to round up. Therefore, the rounded number is 100,234,200. The final answer is 100,234,200,100234200.

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4) Write improper fractions as mixed numbers and mixed numbers as improper fractions.

,

(Use commas to separate multiple answers.)

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Explanation

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5) Find the perimeter and area of a square with sides of length 9.2 centimeters.

Make sure to put the units.

(Use commas to separate multiple answers.) for cm² write cm2

The correct answer is 36.8 cm, 84.64 cm2. The perimeter of a square is found by adding up the lengths of all four sides, so the perimeter of this square with sides of length 9.2 cm is 4 * 9.2 cm = 36.8 cm. The area of a square is found by multiplying the length of one side by itself, so the area of this square is 9.2 cm * 9.2 cm = 84.64 cm2.

Explanation

The correct answer is 36.8 cm, 84.64 cm2. The perimeter of a square is found by adding up the lengths of all four sides, so the perimeter of this square with sides of length 9.2 cm is 4 * 9.2 cm = 36.8 cm. The area of a square is found by multiplying the length of one side by itself, so the area of this square is 9.2 cm * 9.2 cm = 84.64 cm2.

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6) Write number in standard decimal form. 6 X 1000 + 3 X100 + 5 X 1 = ?
and
Six hundred, twenty-four, and thirty-five hundredth = ?
(Use commas to separate multiple answers.)

The given equation 6 X 1000 + 3 X 100 + 5 X 1 can be simplified as 6000 + 300 + 5, which equals 6305. The second part of the answer, "Six hundred, twenty-four, and thirty-five hundredth," can be written in standard decimal form as 624.35. Therefore, the correct answer is 6305, 624.35.

Explanation

The given equation 6 X 1000 + 3 X 100 + 5 X 1 can be simplified as 6000 + 300 + 5, which equals 6305. The second part of the answer, "Six hundred, twenty-four, and thirty-five hundredth," can be written in standard decimal form as 624.35. Therefore, the correct answer is 6305, 624.35.

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7) Find the volume of a cube with edges of length 4.4 meters.

Make sure to put the units. For cm² write cm2

The volume of a cube is calculated by multiplying the length of one side by itself twice. In this case, the length of one side is given as 4.4 meters. Therefore, the volume of the cube can be calculated as 4.4 * 4.4 * 4.4 = 85.184 cubic meters.

Explanation

The volume of a cube is calculated by multiplying the length of one side by itself twice. In this case, the length of one side is given as 4.4 meters. Therefore, the volume of the cube can be calculated as 4.4 * 4.4 * 4.4 = 85.184 cubic meters.

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8) Write the conversion fraction from inches to feet.

The conversion fraction from inches to feet is 1 foot/12 inches or 1/12. This means that there are 12 inches in 1 foot. To convert inches to feet, you would divide the number of inches by 12.

Explanation

The conversion fraction from inches to feet is 1 foot/12 inches or 1/12. This means that there are 12 inches in 1 foot. To convert inches to feet, you would divide the number of inches by 12.

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9) Perform indicated operation. 4.9 + 5.5= ?
102.8 – 22.4 = ?
12.5 X 0.017= ?
8.4 ÷ 0.2 = ?
(Use commas to separate multiple answers.) and put them in order from top to bottom

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Explanation

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10) Use the conversion fraction from number seven to find the number of feet in 122 inches.

Make sure to put the units.

To find the number of feet in 122 inches, we can use the conversion fraction from number seven. The conversion fraction states that 12 inches is equal to 1 foot. So, we can divide 122 inches by 12 to get the equivalent in feet. This gives us 10 feet with a remainder of 2 inches. Since we want the answer in mixed fraction form, we can express the remainder as 2/12, which simplifies to 1/6. Therefore, the answer is 10 1/6 feet.

Explanation

To find the number of feet in 122 inches, we can use the conversion fraction from number seven. The conversion fraction states that 12 inches is equal to 1 foot. So, we can divide 122 inches by 12 to get the equivalent in feet. This gives us 10 feet with a remainder of 2 inches. Since we want the answer in mixed fraction form, we can express the remainder as 2/12, which simplifies to 1/6. Therefore, the answer is 10 1/6 feet.

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