Vocabulary
Integer
Whole numbers and their opposites
or
Positive and negative numbers without fractions or decimals
How do you multiply fractions?
Multiply the numerators and denominators straight across
2/12+5/12
7/12
1 2/3 + 3 1/3
4
3.2 + 5.7
8.9
Absolute Value
Distance from zero
How do you divide fractions?
Take the reciprocal of the second number (flip), then multiply
-1/3 - 1/3
-2/3
2 3/4 + 4 1/2
7 1/4
14.6 + 6.46
21.06
Improper Fraction
A fraction with a numerator greater than the denominator
How do you add integers with the same signs?
Add the absolute values (just the numbers). Keep the sign
-1/4 * -3/9
3/36 or 1/12
7 * 3 1/4
91/4 or 22 3/4
7.4 - 4.51
2.89
Number Opposites
Numbers the same distance from zero/absolute value
How can you tell if a product will be positive or negative?
If the signs match it's positive, if they are different it is negative.
1/7 divided by 5/8
8/35
-6 2/5 x -2 1/2
16
6.5 * .7
4.55
Rational Number
A number that can be expressed as a fraction
How do you change mixed numbers to improper fractions?
Multiply the whole number by the denominator, add the numerator. Keep the denominator the same.
3/11 - 7/10
-47/110
-2 1/9 divided by 3 2/5
-95/153
-9.84 / 3
-3.28