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The student extends the same method to a five-digit dividend, producing a four-digit quotient.
Preview · progress not saved — Chapter 1 is free
Nothing new - just the same four moves, done once more.
A five-digit dividend behaves exactly like a four-digit one! The core four moves—divide, multiply, subtract, bring down—and the estimating process remain completely unchanged.
The book's own example, run through four steps.
Problem. Divide by .
Worksheet 4 question 1(a), faded step by step.
To solve , first divide 72 thousands by 15. The closest multiplier is , leaving a remainder of 12. Bring down the 8 to make 128 hundreds. Dividing 128 by 15 gives 8, and subtracting 120 leaves . Next, bring down the 9 to make 89 tens, divide by 15 to get a quotient digit of 5, leaving 14. Finally, bring down the 5 to make 145 ones, divide by 15 to get 9, leaving a remainder of 10. Since 10 is smaller than 15, we are finished! We can check our work using the relation check: .
Two divisions from Worksheet 4 question 1.
Provide the final quotient and remainder.
Show the estimate at each step and the final check (Divisor × Quotient + Remainder).
Provide the final quotient and remainder.
Explain your steps, noting how the zero occurred, and include the final relation check.
Three items from Worksheet 4 question 2.
(a) (b) (c)
Enter the quotient and remainder.
Enter the quotient and remainder. Note: Watch for the zero in the quotient!
Enter the quotient and remainder.
In part (c), you should get a remainder of 40. Explain how a remainder this large can still be correct.