Transcript Mass Ratio

Answers to 1.5.1
1. Suppose you have 50 g of
rice and 50 g of beans. Which
sample has more mass?
Trick Question!!!! They have the same
amount of mass! (50 g!)
Which sample has more
pieces? Explain!
The rice sample has more pieces
because they’re smaller than beans.
2. Suppose you have 200
grapes and 200 apples. Which
sample has more mass?
The 200 apples because each apple
weighs much more than a grape!
Which sample has more
pieces? Explain!
TRICK QUESTION!!!! They have the
same # of pieces! (200)
3.
A sample of 50 beans has a mass of 14.5 grams.
a. What would be the mass of 100,000 beans?
Mass Ratio: 14.5 grams/50 beans =
0.29 g
bean
100,000 beans x 0.29 g = 29,000 grams
bean
3. A sample of 50 beans has a mass of 14.5 grams.
b. One bag of beans has a mass of 1500 g. How many
beans are in the bag?
Mass Ratio: 14.5 grams/50 beans =
0.29 g
bean
1500 grams
0.29 g
bean
= 5,172 beans
1
1
beans
= beans
4. A sample of 15 cheerios has a mass of 2.5 grams.
a. A box of cheerios has a mass of 455 grams. How
many Cheerios are in the box?
Mass Ratio: 2.5 grams/15 cheerios=
0.17 g
cheerio
455 grams
0.17 g
cheerio
= 2676 cheerios
1
1
cheerio
= cheerios
4.
A sample of 15 cheerios has a mass of 2.5 grams.
b. How much would 200 cheerios weigh?
Mass Ratio: 2.5 grams/15 cheerios=
0.17 g
cheerio
200 cheerios x 0.17 g =
cheerio
34 grams
5. A sample of 100 grains of sand weight about 0.12
grams. You have a 5 kg (5000 g) bag of sand—
how many grains of sand are in the bag?
Mass Ratio: 0.12 grams/100 grains=
0.0012 g
grain
5000 grams
0.0012 g
grain
= 4,166,666
grains!
1.
Convert the following numbers to scientific
notation:
a) 78,938,000
b) 0.00000003809
7.8938 x 107
c) 2,000
2x
4
10
3.809 x
-8
10
d) 0.00200
2.00 x
-3
10
2) Convert the following numbers from scientific
notation to standard notation:
a) 3.08 x 103
b) 9.0 x 10-8
3,080
c) 4.20 x 10-3
0.000000090
d) 6.02 x 1023
0.00420
602000000000000000000000