MTE 280 Test 2

Honelako gehiago

Intro to elementary mathematics

by christina catchings

The Number System

by Alberta Hosteen

Application of FDP in our daily life

by louis ahmad

MAT 156 Frymire

by Sierra Frymire

MTE 280 Test 2

Week 11

Problem solving cont.

1)There was 3/4 of a pie in the refrigerator. John ate 2/3 of the left over pie. How much pie did he eat?

He ate 1/2 of the whole pie

2) Three-fourths of the class are girls. Two-thirds of the girls have black hair. What fraction of the class is female and dark haired?

1/4+1/4=2/4=1/2

1/2 of the class are girls and have black hair.

Week 10

Solving examples

A set of marbles can be divided in equal shares among 2, 3, 4, 5, or 6 children with no marbles left over, what is the least number of marbles this set could have?

2:2,4,6,8,10….. 60

3: 3,6,9,12,15,18…..60

4:4,8,12,16……60

5: 5,10,15,20,25…..60

6: 6,12,18,24,30….60

The least number of marbles this set could have is 60

Fraction problem Solving

Problem solving example:

Marc opened a pizza box. Inside there was 3/4 of a pizza. Marc ate 1/2 of what was in the box. How much pizza did Marc eat?

Answer: he ate 3/8

Janice is preparing a recipe that calls for 3/4 of a cup of oil per serving. If Janice needs to prepare 2 and 2/3 servings, how many cups of oil will she need?

1 serving: 3/4

She will need 2 cups

Week 9

Spring Break

Week 8

Different denominators

Different denominators

• find the least common multiple of 1/4+1/6

4,8,12,16,20,24,28,32,

6,12,18,24,30,36

1/4*6 + 1/6*4

6/24+4/24 =10/24=5/12

Fractions

What is a fraction?

• A symbol of the relationship between a part of a whole
• Ratio example: boys:students

Even if you do use the LCM to find a common denominator, it still won’t give you the simplest form for the answer.

Dividing a fraction

Leave it, change it, flip it.

Week 7

Prime factorization

Prime factorization is used to find the LCM

24: 1,2,3,4,6,8,12,24

24=2*2*2*3

24=2^3*3

GCF

36=2*2*3*3

What is the GCF of 24 and 36?

24=2*2*2*3

36=2*2*3*3

GCF=2*2*3=12

List method of GCF

24: 1,2,3,4,6,8,12,24

36: 1,2,3,4,6,9,12,18,36

GCF=12

List Method of LCM

24: 24,48,72

36: 36,72

LCM=72

Divisibility Rules

When we say a is divisible by b, if another number c

cxb=a

Example: 24 is divisible by 2 because there is another number that will be multiplied by 2 to get 24.

10 is divisible by 5

5 divides 10

5 is a divisor of 10

10 is a multiple of 5

5 and 2 are factors of 10

Ending of a number: by 2, 5, 10

• Look at end of number if it is divisible

Find sum of number: by 3, 6, 9

• Add all the numbers
• example: 3+9+6=16 so find what’s divisible by 16

Last two digits: by 4

• Use the last two numbers to see what’s divisible

Last three digits: by 8

• use the last 3 numbers to find what’s divisible

Double the last number: by 7

• Multiply the last digit by 2 and then subtract

Chop off: by 11

• chop off the last 2 numbers and then add it by the rest of the numbers