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Lesson: Estimating Quotients with Decimals

Worksheet • 3 Questions

Q1:

Mariam is saving up to buy a bike that costs $99. She gets $12 each week in pocket money. How many weeks will she have to wait until she has enough money to buy the bike?

Which calculation will help us answer this question?

  • A
  • B
  • C
  • D
  • E

To find the number of weeks she has to wait, should we ignore the remainder or round it up?

  • Aignore it
  • Bround it up

Why?

  • ABecause she needs to wait another week to earn the remaining $3.
  • BDo NOT use the congruence symbol.
  • CBecause the remainder is less than $5.
  • DBecause the remainder is less than $99.
  • EBecause she does not need to wait any further weeks.

Q2:

We want to divide 6 0 2 5 by 241 using the standard division algorithm.

What result do you expect?

  • Aaround 30
  • Baround 2
  • Caround 3
  • Daround 3 0 0 0
  • Earound 200

The diagram below shows the first stage of the division algorithm. The digit π‘Ž (between 1 and 9) represents how many 241s there are in 602 tens. What is the place value of π‘Ž in the quotient?

  • Atens
  • Bten thousands
  • Chundreds
  • Dthousands
  • Eunits

What is the value of π‘Ž ?

  • A π‘Ž = 2
  • B π‘Ž = 5
  • C π‘Ž = 1
  • D π‘Ž = 4
  • E π‘Ž = 3

We have found that there are two 241s in 602 ( π‘Ž = 2 ) or 241 times 2 tens in 602 tens. The number 𝑏 is 2 times 241 tens. Which of the following is true?

  • A 𝑏 = 2 Γ— 2 4 1 Γ— 1 0
  • B 𝑏 = 2 Γ— 2 4 1 βˆ’ 1 0
  • C 𝑏 = 2 Γ— 2 4 1
  • D 𝑏 = 2 Γ— 2 4 1 + 1 0
  • E 𝑏 = 2 Γ— 2 4 1 Γ— 1 0 0

The number 𝑐 is the remainder of the previous division. Which of the following is true?

  • A 6 0 2 5 = 2 0 Γ— 2 4 1 + 𝑐
  • B 6 0 2 5 = 2 0 Γ— 2 4 1 βˆ’ 𝑐
  • C 6 0 2 5 = 2 Γ— 2 4 1 + 𝑐
  • D 6 0 2 5 = 2 Γ— 2 4 1 βˆ’ 𝑐
  • E 6 0 2 5 = 2 0 0 Γ— 2 4 1 + 𝑐

The diagram below shows the second stage of the division algorithm. The number 𝑑 is between 1 and 9 and represents the number of 241s in 1 2 0 5 . What are the values of 𝑑 , 𝑒 , and 𝑓 ?

  • A 𝑑 = 5 , 𝑒 = 1 2 0 5 , 𝑓 = 0
  • B 𝑑 = 4 , 𝑒 = 9 6 4 , 𝑓 = 0
  • C 𝑑 = 5 , 𝑒 = 0 , 𝑓 = 2 4 1
  • D 𝑑 = 2 5 , 𝑒 = 0 , 𝑓 = 0
  • E 𝑑 = 2 5 , 𝑒 = 1 2 0 5 , 𝑓 = 9 6 4

Q3:

Mrs.Adel is arranging a school trip for her class of 32 students. She will be going herself along with three other teachers. She decides to use a company whose buses seat 15 people each. How many buses will she need to book?

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