40.9k views
3 votes
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?

1 Answer

3 votes

Answer:

There are 251 7s in 1762

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

User Thibaut Noah
by
5.4k points