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

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

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