AR (9/6/18)

Converting *Improper Fractions* to *Mixed Fractions* To convert an improper fraction to a mixed fraction, follow these steps: 1) *__________* the numerator by the denominator. 2) Write down the *__________* number answer 3) Then write down any *__________* above the denominator. Example: Convert *11/4* to a mixed fraction. Divide: 11 ÷ 4 = 2 with a remainder of 3 Write down the 2 and then write down the remainder (3) above the denominator (4). Answer: *__________*

Converting *Improper Fractions* to *Mixed Fractions* To convert an improper fraction to a mixed fraction, follow these steps: 1) *Divide* the numerator by the denominator. 2) Write down the *whole* number answer 3) Then write down any *remainder* above the denominator. Example: Convert *11/4* to a mixed fraction. Divide: 11 ÷ 4 = 2 with a remainder of 3 Write down the 2 and then write down the remainder (3) above the denominator (4). Answer: *2 3/4*

Positive/Negative *__________* is neither positive nor negative. Positive: *_________, _________, _________, _________* Negative: *_________, _________, _________, _________*

Numbers greater than 0 are positive numbers; numbers less than 0 are negative numbers. *0* is neither positive nor negative. Positive: *7/8, 1, 5.6, 900* Negative: *-64, -40, -1.11, -6/13*

*Consecutive numbers:* In a series of consecutive numbers, the differences between any consecutive numbers are *__________.* Consecutive integers: *3, __, __, __* Consecutive even integers: *2, __, __, __, __* Consecutive multiples of -9: *-9, __, __, __*

*Consecutive numbers:* Numbers that follow one after another, in order, without skipping any. In a series of consecutive numbers, the differences between any consecutive numbers are *equal.* Consecutive integers: *3, 4, 5, 6* Consecutive even integers: *2, 4, 6, 8, 10* Consecutive multiples of -9: *-9, -18, -27, -36*

Fractions

A fraction is a number that is written in the form A/B, where A is the *numerator* and B is the *denominator.* e.g.: -5/6, -3/17, 1/2, 899/901

Mixed number e.g.: *_________, _________, _________*

A mixed number consists of a whole number and a fraction. e.g.: *-1(1/64), 1(1/8), 5(7/10)*

Multiple Some multiples of 12: *___, ___, ___, ___*

A multiple of a number is the product of that number and an integer. Some multiples of 12: 0, 12, 24, 60 0 x 12 = 0; 1 x 12 = 12; 2 x 12 = .4; 5 x 12 = 60

Adding a negative number is the same as *___________* a *___________* number with the same absolute value. 6 + (-4) is equal to *___________* which equals *___________.* 4 + (-6) is equal to *___________* which equals *___________.*

Adding a negative number is the same as *subtracting* a *positive* number with the same absolute value. 6 + (-4) is equal to *6 - 4* which equals *2.* 4 + (-6) is equal to *4 - 6* which equals *-2.*

Integers e.g.: *________, ________, ________, ________, ________*

All whole number, including zero, and their negative counterparts. e.g.: *-900, -3, 0, 1, 54*

Even/odd *___________* and *___________* numbers are neither even nor odd.

An even number is an integer that is a multiple of 2. An odd number is an integer that is not a multiple of 2. *Fraction* and *mixed* numbers are neither even nor odd. Even numbers: -8, -2, 0, 12, 188 Odd number: -17, -1, 3, 9, 457

An improper fraction can be converted to a *___________* and *___________.* e.g.: 2(3/5) = *___________*

An improper fraction can be converted to a *mixed number* and *vice versa.* e.g.: 2(3/5) = *13/5*

Improper fraction e.g.: *_________, _________, _________*

An improper fraction has a numerator with a greater absolute value than that of the denominator. e.g.: *-65/64, 9/8, 57/10*

Prime number (name the first 7)

An integer greater than 1 that has no factor other than 1 and itself. e.g.: 2, 3, 5, 7, 11, 13, 17

Converting *Mixed Fractions* to *Improper Fractions* To convert a mixed fraction to an improper fraction, follow these steps: 1) Multiply the *___________* part by the fraction's *___________.* 2) Add that to the *___________* 3) Then write the result on top of the *___________.* Example: Convert *3 2/5* to an improper fraction. Multiply the whole number part by the denominator: 3 × 5 = 15 Add that to the numerator: 15 + 2 = 17 Then write that result above the denominator: *___________*

Converting *Mixed Fractions* to *Improper Fractions* To convert a mixed fraction to an improper fraction, follow these steps: 1) Multiply the *whole number* part by the fraction's *denominator.* 2) Add that to the *numerator* 3) Then write the result on top of the *denominator.* Example: Convert *3 2/5* to an improper fraction. Multiply the whole number part by the denominator: 3 × 5 = 15 Add that to the numerator: 15 + 2 = 17 Then write that result above the denominator: *17/5*

Subtracting a negative number is the same as *__________* a *__________* number with the same absolute value. 6 - (-4) is equal to *___________* which equals *___________.* -6 - (-4) is equal to *___________* which equals *___________.*

Subtracting a negative number is the same as *adding* a *positive* number with the same absolute value. 6 - (-4) is equal to *6+4* which equals *10.* -6 - (-4) is equal to *-6 + 4* which equals *-2.*