Mathematics

Question 1

Describe the result of adding a large positive number and a smaller negative number.

Answer 1

The result is a smaller positive number, and is the same as ignoring the signs and subtracting the smaller number from the larger.

Question 2

How do you convert a fraction into a decimal?

Answer 2

Divide the top number (numerator) by the bottom number (denominator)

Question 3

What is the key step that must be performed in order to add or subtract unlike fractions?

Answer 3

You must find the lowest (least) common denominator.

Question 4

How do you divide one fraction by another?

Answer 4

You invert the divisor and multiply the numerators together and the denominators.

Question 5

How can you convert a fraction into a percent?

Answer 5

Convert it to a decimal, move the decimal point two places to the right and add the percent sign.

Question 6

How can you convert a decimal into a percent?

Answer 6

(1) Multiply the decimal by 100 and add the percent sign. (or) (2) Move the decimal point two places to the right and add the percent sign.

Question 7

How do you change a decimal into the nearest equivalent fraction?

Answer 7

Multiply the decimal by the desired denominator. The result becomes the numerator in the fraction.

Question 8

What are two different ways that a ratio may be expressed?

Answer 8

(1) As a fraction. (2) By placing a colon (:) between the two numbers. (3) By using the word “to” between the two numbers.

Question 9

What is a proportion?

Answer 9

A statement of equality between two or more ratios.

Question 10

What is meant by the root of a number?

Answer 10

A root is two or more equal smaller numbers that, when multiplied together, equal the specified number.

Question 11

How do you find the square of a number?

Answer 11

Multiply the number by itself.

Question 12

What is a common method of making computations involving very large or very small numbers more manageable?

Answer 12

Convert the numbers into scientific notation by using powers of 10.

Question 13

How is 100,000 expressed as a power of 10?

Answer 13

105 (10 to the 5th power).

Question 14

What formula is used to find the area of a rectangle and of a triangle?

Answer 14

For a rectangle, A = L x W, For a triangle, A = 1/2 (B x H).

Question 15

Define Pi.

Answer 15

Pi is a constant that expresses the relationship between the circumference of a circle and its diameter and is approximately equal to 3.1416

Question 16

Describe a trapezoid.

Answer 16

A trapezoid is a closed, four-sided figure having two parallel sides and two sides that are not parallel.

Question 17

What is the formula for computing the area of a circle?

Answer 17

A=Pi(r)squared

Question 18

What is a mixed number?

Answer 18

A combination of a whole number and a fraction.

Question 19

What is a parallelogram?

Answer 19

A four sided figure with two pairs of parallel sides.

Question 20

What is an equilateral triangle?

Answer 20

A triangle with three equal sides.

Question 21

Name three of the six types of triangles.

Answer 21

Equilateral, Isosceles, Acute, Right, Obtuse, and Scalene.

Question 22

How do you find the volume of a cylinder?

Answer 22

Volume = Pi(r)squared x Height

Question 23

What is the hypotenuse in a right triangle?

Answer 23

The side opposite the right angle.