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To find the product of a 2 digit number & a 1 digit number you have to find the sum of each.....?
Options: distributive property, factor, partial product
To find the product of a 2 digit number & a 1 digit number you have to find the sum of each PARTIAL PRODUCT!
Say this: 4 x 7 = 28 as a comparison sentence.
4 times as many as 7 is 28.
Use a model to solve: 83 x 5
(5x80) + (5x3)
400 + 15
=415
Use expanded form to show & solve:
272 x 3
3 (200 + 70 + 2)
600 + 210 + 6
=816
Estimate by rounding the first factor then multiply.
76 x 5 = ________
Estimate: 400
76= 80
80x5 = 400
Example: A x (B + C) = (A x B) + (A x C)
Multiplying a sum by a number is the same as multiplying each added by the number, then adding the products is called...
Distributive Property
Say this: 2 x 4 = 8 as a comparison sentence (mathenese)
2 times as many as 4 is 8.
DOUBLE JEOPARDY!!!!
Use a model to solve for the product: 12x6
(6 x 10) + (6x2)
60 + 12
=72
There are 8 times as many dogs as cats. If the total number of dogs & cats is 45, How many dogs are there?
D = D D D D D D D D
C = C
Each variable D or C = 5.
5 x number of DOGS (D) = 5x8 = 40
There are 40 dogs!
DOULBE JEOPARDY!!!!
Estimate by rounding the first factor to the nearest ten before multiplying!
12 x 6
12 x 6
12 = 10 (round to nearest ten's place)
10 x 6 = 60 <----ESTIMATION
True or False:
When "translating" 3 x 6 = 18 to a mathenese sentence, the numbers have to go in the same order.
DOUBLE JEOPARDY for correctly translating the equation to a comparison sentence!
TRUE!
3 times as many as 6 is 18
DOUBLE JEOPARDY!!!!
Say this: 7 x 6 = 42 as a comparison sentence
7 times as many as 6 is 42.
Use a model to solve: 29 x 3
60 + 27
=87
There are 7 times as many chickens as roosters. If Mrs. Pavich has a total of 56 chickens and roosters, how many roosters are there?
C = C C C C C C C
R = R
total 56 = 8 x __
The missing value is 7!
There is only one "R" = 7 x 1 = 7 Roosters
Estimate by rounding the first factor to the nearest ten. Then multiply.
28 x 3
28 = 30 (round to nearest tens)
30 x 3 = 90 <---- ESTIMATION
True or False:
When using expanded form you separate the place values using + (plus signs).
DOUBLE JEOPARDY: what is the expanded form for solving: 271 x 3?
True!
271 x 3 = 3 (200 + 70 + 1)
600 + 210 + 3
=813
Say this: 9 x 8 = 72 as a comparison sentence.
9 times as many as 8 is 72.
Use a model to solve: $35 x 6
180 + 30
=210
DOUBLE JEOPARDY!!!
If there are 67 calories in 1 cup of blackberries, how many calories are in 7 cups?
67 x 7
(7 x 60) + (7 x 7)
420 + 49
=469 calories in 7 cups of blackberries!
43 x 6
43 = 40
40 x 6 = 240 <----ESTIMATION!
TRIPLE JEOPARDY!!!
WHOLE CLASS CHALLENGE!!!
There are 4 times as many dogs as cats and a total of 15. How would you model this? Explain/show
D = D D D D
C= C
Total of 15
5 x ___ = 15 Each variable = 3
5 x 3 = 15
DOUBLE JEOPARDY!!!!
Correctly translate to a math sentence.
twelve is three times as many as 4.
twelve is three times as many as 4
12 = 3 x 4
Use a model to solve: 5 x 64
(5 x 60) + (5 x 4)
300 + 20
= 320
The skating rink rents 200 pairs of skates in a month. How many pairs of skates does the rink rent in 2 months?
200 skates x 2 months = 400 skates!
WHOLE CLASS CHALLENGE!
Estimate by rounding to the nearest tens' place!
5 x 61
61 = 60
60 x 5 = 300 <----ESTIMATION!