UNIT O
What is the prime factorization of 124?
22 * 31
TRUE OR FALSE
When converting from a decimal to a fraction it is possible to get an improper fraction
FALSE
0.42 —> as a decimal
42/100 —> SIMPLIFY!
21/50
A half of a candy bar was shared between you and two friends. What fraction of the candy bar do you each get?
1/2 / 3 —> half of the candy bar divided by 3
1/2 * 1/3 —> KCF
1/6 each
4.053
TRUE OR FALSE
The LCM of 6, 18, and 33 is 3
FALSE! 3 is the GCF
0.89 * 3 = 2.67
What is the sum of six and three tenths and eighty-four hundredths?
6.3 + 0.84 = 7.14
7.12
What is the difference of eight and seven hundredths and four and six tenths?
8.07 - 4.6 = 3.47
A bowl of candy contains 92 Snickers, 56 KitKats, and 44 bags of Skittles. What is the maximum number of bags you can make to ensure that the greatest number of each candy is in each bag?
Landon is hauling four pumpkins, each pumpkin weighs 13.42 lbs. How much total weight is Landon hauling?
13.42 * 4 = 53.68 lbs
What is four times the sum of five and six tenths and three and seventy-five hundredths?
4(5.6 + 3.75)
4(9.35)
37.4
TRUE OR FALSE
0.322 = 322/100 = 3 22/100 = 3 11/50
FALSE! It should be 322/1000
Ben is making a pumpkin pie, if the recipe calls for three twelve ounce cans of pumpkin purée and Ben has a large can that holds 60.33 ounces, how much leftover purée is there?
60.33 - 36 = 24.33 —> leftover ounces
A train that is headed to DC departs every 25mins and a train that is headed to Atlanta departs every 45mins. After how many minutes will both trains be departing at the same time?
Every 225mins both trains will depart at the same time
Connor is eating a candy bar, he eats two tenths, then gives away thirty-two hundredths. How much does he have left?
0.2+0.32 = 0.52 —> Total amount gone
1 - 0.52 = 0.48 —> remaining
3(0.71)2 —> parentheses first
3(0.5041) —> exponent
1.5123 —> multiplySolve the following. 5(12.8 - 11.76) + 4.5
5(1.04) + 4.5
5.2 + 4.5
9.7
In a neighborhood, there are ninty-six houses. Seven eights of the houses pass out candy on Halloween. What number of houses do not pass out candy?
1/8 of 96 —> Fraction representing houses that DO NOT pass out candy
1/8 * 96 —> of means multiply12 houses
Tabitha and Lauren are trick-or-treating, they plan on going to a total of 320 houses. So far they have gone to three fourths of the houses, how many houses do they have left to visit?
80 houses
3/4 of the houses
3/4 of 320 —> substituted 320 for ”the houses”
3/4 * 320 —> ”of” means multiply
= 240 —> # of houses they have gone to
320 - 240 = 80 —> # of houses left
What is the reciprocal of the repeating decimal 0.7?
7/9 as a fraction
9/7 so 1 2/7
Solve the following.
3(9.82 - 8.3)2 - 1.289
3(1.52)2 - 1.289
3(2.3104) - 1.289
6.9312 - 1.289
5.6422
What is the reciprocal of 0.36?
0.36 = 36/100 = 18/50 = 9/25 —> First as a simplified fraction
25/9 = 2 7/9 —> Flip fraction!
Annabel’s Halloween costume is HEAVY. The head piece weight 4.5lbs, the shirt weighs four times as much as the head piece, and a bottom weighs twice as much as the shirt. How much does her costume weigh in all?
Head piece = 4.5
Shirt = 4 * 4.5 = 18
Bottom = 18 * 2 = 36
In all.. 4.5+18+36 = 58.5lbs