Multiplicative Comp
What number is 3 times as many as 9?
27
Abe ran 2 miles. Ben ran 3 more miles than Abe. Carlos ran 3 times as many miles as Abe. How many miles did they run?
Abe ran 2mi
Ben ran 5mi
Carlos ran 6mi
What is the inverse operation of Division? What is the inverse operation of Multiplication?
Multiplication
Division.
Trick Question!
Fill in the unknown numbers
15 ÷ n = 5
n x 3 = 24
56 ÷ 7 = n
3
8
6
Write 54 is 9 times as many as 6 as an equation.
54= 9x6
or
9x6=54
What are key words to help distinguish between both multiplicative and additive comparison problems?
Times as many or a #times=Multiplicative
How many more and more=Additive
A box contains 16 chapter books. There are 8 times as many chapter books as picture books in the box.
How many picture books are in the box?
*Write an equation and then solve!
16/8=n
or
8xn=16
n=2
Mette counts 5 birds and 8 times as many insects in a park. How many more insects than birds does Mette count?
8x5=40insects
40-5=*35 more insects*
Jaime has 30 paper clips. Chris has 5 times as many paper clips as Jaime.
6 paper clips
Therese picked 5 white flowers. She picked 4 times as many red flowers as white flowers. She picked 4 more purple flowers than white flowers. How many red flowers did Therese pick? How many purple flowers did she pick?
4x5=20 red
5+4=9 purple
Maya has 18 baseball cards and 3 soccer cards. How many times as many baseball cards as soccer cards does Maya have?
nx3=18
n=6
Four children in the Vazquez family went to the camp. Each packed 66 T-shirts. Together, their clothes fit into 22 large duffel bags. If an equal number of T-shirts were in each duffel bag, how many T-shirts were in each duffel bag?
4x6=24
24/2=12 t-shirts
A brown goat ate 7 times as many carrots as a white goat. The white goat ate 3 carrots. How many carrots did the brown goat eat? Use a visual model and an equation to represent and solve the problem.
Bar Model
7 × 3 = 21; The brown goat ate 21 carrots;
To make fruit punch, Hannah uses 10 cups of orange juice. She uses 2 times as much orange juice as pineapple juice. She also uses 2 more cups of soda than orange juice. How many cups of pineapple juice and soda does she use?
*Write two equations that represent this problem.*
2xn=10
10+2=n
A baker uses whole-wheat flour and white flour to bake bread. She uses 32 cups of whole-wheat flour. The baker uses 4 times as many cups of whole-wheat flour as white flour. How many cups of white flour does the baker use?
Write an equation and solve!
32=4xF
32=4x8
8 cups of white flour.
Transportation to the camp is offered from a local school. There are 27 campers traveling by van. Each van can hold 9 campers. The camp pays $60 for each van. What is the total cost of the vans?
27/9=3
3x60=$180
3 Part Question;
What do you know about the words (times and is) in a word problem? What does an equation contain? What does a letter in an equation mean?
times- (x) multiplication and is-(=) .
numbers(quantities), operation sign/s, letter variables, and an equal sign.
letter- the unknown.
Jonah has 12 coins in his collection. He has 4 times as many coins as Cole has. How many coins does Cole have?
*Write an equation to represent the problem. Solve the equation and then write a comparison word problem.*
4xC=12
4x3=12
4 times as many as 3 is 12.
There are 14 students on the school newspaper staff. They are divided into teams of 2. Each team will write 4 stories for the next issue of the paper. How many stories will be in the next issue?
*Write the equations and the matching word comparison problem.
14/2=n(7)
4x7=n(28)
14 is n(7) times as many as 2.
4 times as many as 7 is 28.
Each cabin has 6 bunks on the left and 6 bunks on the right. If there are 9 cabins, how many bunks are there in all?
6+6=12
12x9=108 bunks