Find how many 7s are in 1762 . the remainder is the number of garbage bags you will take. the quotient is the classroom number. how can carlos use partial products to find the information he needs?

There are 251 7s in 1762

Step-by-step explanation:

* Lets explain how to solve the problem

- To find how many 7s in 1762 lets distribute the number by parts

# First we will take the two left digits (17)  

∵ 7 × 2 = 14 the nearest number to 17

- Subtract 14 from 17

∵ 17 - 14 = 3 (the remainder)

- Now we will take 3 with the digit 6 ⇒ 36

∵ 7 × 5 = 35 the nearest number to 36

- Subtract 35 from 36

∵ 36 - 35 = 1 (the reminder)

- Take 1 with the digit 2 ⇒ 12

∵ 7 × 1 = 7 the nearest number to 12

- Subtract 7 from 12

∵ 12 - 7 = 5 (The last reminder)

- From all above the quotient is 251 and the remainder is 5

* There are 251 7s in 1762

∵ The quotient is 251 and the remainder is 5

∵ The quotient is the classroom numbers

∴ There are 251 classrooms

∵ The remainder is the number of garbage bags

∴ There are 5 garbage bags

∴ The reminder is 5

* To check the answer lets use the partial product

# 251 × 7

- 7 × 200 = 1400

- 7 × 50 = 350

- 7 × 1 = 7

# Add the answers

∴ 1400 + 350 + 7 = 1757

∵ 1762 - 1757 = 5

∴ 251 × 7 + 5 = 1762

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

i only know the sequence of arithmetic it adds the first is 5+4 then it goes up as it adds to then it is 9+5 then 14+6 then to 20+7 and so on. 5,9,14,20,27,35.

step-by-step explanation: