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Lesson: Dividing 4-, 5-, and 6-Digit Numbers by 2-Digit Numbers

Sample Question Videos

Worksheet • 10 Questions • 1 Video

Q1:

What is the number that when multiplied by 28 gives 22 120?

Q2:

What is the number that when multiplied by 97 gives 89 046?

Q3:

We want to divide 2 4 2 5 5 by 15 using the standard division algorithm.

In which interval do you expect the result to be?

  • Abetween 1 0 0 0 and 2 0 0 0
  • Bbetween 10 and 20
  • Cbetween 100 and 200
  • Dbetween 1 0 0 0 0 and 2 0 0 0 0
  • Ebetween 2 0 0 0 and 3 0 0 0

We use 2 4 2 5 5 = 2 4 Γ— 1 0 0 0 + 2 5 5 for the first stage of the division, in which we divide 2 4 0 0 0 by 15. We look for the number π‘Ž , between 1 and 9, which represents the number of 15s in 24. What is the value of π‘Ž ?

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

At this stage, we have found that sharing 24 thousands in 15 groups gives 1 (number π‘Ž ) thousand per group, or that we can form 1 group of 15 thousands with 24 thousands. We need to work out the remainder (number 𝑐 ), taking into account that we want to divide 2 4 2 5 5 by 15. For this, we write what has already been shared (number 𝑏 ). What are the values of 𝑏 and 𝑐 ?

  • A 𝑏 = 1 5 0 0 0 , 𝑐 = 9 2 5 5
  • B 𝑏 = 1 5 0 , 𝑐 = 3 9 2 5 5
  • C 𝑏 = 1 5 0 0 0 , 𝑐 = 3 9 2 5 5
  • D 𝑏 = 1 5 , 𝑐 = 9 2 5 5
  • E 𝑏 = 1 5 0 0 , 𝑐 = 2 2 7 5 5

The diagram shows the second stage of the division algorithm. The number 𝑑 is between 1 and 9 and represents the number of 15s in 92. What are the values of 𝑑 , 𝑒 , and 𝑓 ?

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

The diagram shows the third stage of the division algorithm. What does the number 𝑔 represent?

  • Athe number of 15s in 25
  • Bthe number of 25s in 255
  • Cthe number of 15s in 255
  • Dthe number of 25s in 925
  • Ethe number of 15s in 925

What are the values of 𝑗 , π‘˜ , and 𝑙 ?

  • A 𝑗 = 7 , π‘˜ = 1 0 5 , 𝑙 = 0
  • B 𝑗 = 7 , π‘˜ = 1 5 0 , 𝑙 = 0
  • C 𝑗 = 7 , π‘˜ = 0 , 𝑙 = 1 0 5
  • D 𝑗 = 1 7 , π‘˜ = 0 , 𝑙 = 1 0 5
  • E 𝑗 = 1 7 , π‘˜ = 1 0 5 , 𝑙 = 0

Q4:

Complete the expression 9 8 4 0 Γ· 1 6 = ( βˆ’ 1 5 ) .

Q5:

Complete the expression 8 8 6 6 Γ· 1 1 = ( βˆ’ 2 6 ) .

Q6:

Complete the expression 9 7 4 4 Γ· 2 8 = ( βˆ’ 2 9 ) .

Q7:

Complete the expression 9 7 6 8 Γ· 2 4 = ( βˆ’ 1 1 ) .

Q8:

Evaluate ( 9 7 4 4 Γ· 5 8 ) βˆ’ 1 4 .

Q9:

Evaluate ( 9 0 0 9 Γ· 2 1 ) βˆ’ 3 9 .

Q10:

Sameh receives a weekly allowance which totals $1 820 in a year. Using that there are 52 weeks in a year, determine how much he receives each week.

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