Math

Question 1

Prime Number

Answer 1

Divisible by 1 and itself
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101

Question 2

Perfect Square

Answer 2

square number or perfect square is the product of some integer with itself:
2x2=4
3x3=9
4x4=16
5x5=25
6x6=36
7x7=49
8x8=64
9x9=81

Question 3

Square Root

Answer 3

A square root is a number that, when multiplied by itself, produces the original number:
√2 ≈1.414
√3 ≈1.732
√4 =2
√5 ≈2.236
√6 ≈2.449
√7 ≈2.646
√8 ≈2.828
√9 =3

Question 4

Coefficient

Answer 4

the number that multiplies a variable in an algebraic expression
2 is the coefficient in 2x

Question 5

Factor

Answer 5

a factor is a whole number that divides another whole number exactly, leaving no remainder.
54: 1, 2, 3, 6, 9, 18, 27, 54

Question 6

Greatest Common Factor (GCF)

Answer 6

The greatest number that is a factor of two or more given numbers.
8: 1,2,4,8
12: 1,2,3,4,6,12
The G.C.F. of 8 and 12 is 4

Question 7

The Least Common Multiple (LCM)

Answer 7

The Least Common Multiple (LCM) of two or more integers is the smallest positive integer divisible by all of them.

Note: The Lowest Common Denominator (LCD) is the same concept but specifically applied to the denominators of fractions. When you need to add or subtract fractions, you find the LCD, which is their LCM, to rewrite the fractions with a common base.

Question 8

When to use the Least Common Multiple (LCM) vs the Greatest Common Factor (GCF)

Answer 8

GCF : to find the largest number that can evenly divide two or more numbers. i.e. cutting two pieces of rope of different lengths into the largest possible equal-length pieces

LCM: to find the smallest number that is a multiple of two or more numbers. i.e. Two buses arrive at the same stop at different intervals. The LCM will tell you the next time they will both arrive at the stop at the same moment.

Question 9

Reciprocal

Answer 9

A reciprocal, also known as a multiplicative inverse, is a value that, when multiplied by a given number, equals 1
4 and 1/4
7/15 and 15/7

Question 10

Convert a percentage to a fraction in simplest form

Answer 10

1) rewrite the percentage as a fraction by placing the percentage number over 100.
2) find the greatest common divisor (GCD)
3) divide both the numerator and the denominator by GCD
75% = 75/100
GCF: 25
75/25 and 100/25 = 3/4

Question 11

Add or Subtract fractions (3 steps)

Answer 11

When a denominator is unequal:
1) Find the LCD
2) Rewrite each fraction with LCD
3) add or subtract numerators