Four-digit numbers divided by one digit worksheet

Part A: Working out and filling in

1. 1. 1000

   2000 is 2 thousands. First think how many thousands 2 ÷ 2 gives.

   2000 is 2 thousands, and 2 ÷ 2 = 1, so 2000 ÷ 2 = 1000.

2. 2. 700

   4200 is 42 hundreds. Use the times table for 42 ÷ 6: that's how many hundreds.

   4200 is 42 hundreds, and 42 ÷ 6 = 7, so 4200 ÷ 6 is 7 hundreds: 700.

3. 3. 3013

   Divide place by place from the thousands: thousands, hundreds, tens and ones, each by 2.

   Divide place by place from the thousands; each place divides exactly: the quotient is 3013.

4. 4. 913

   Is the thousands digit big enough to divide by 3? If not, take the thousands and hundreds together first.

   The thousands digit 2 is too small for 3, so the quotient starts in the hundreds: 27 ÷ 3 first, then on down. The quotient is 913.

5. 5. 1341

   Start dividing at the thousands; whatever is left over joins the next place before you divide again.

   Start at the thousands; what is left joins the next place: 2682 ÷ 2 = 1341. Check: 2 × 1341 = 2682.

6. 6. 1195, 1

   Divide from the thousands, carrying each remainder to the next place; whatever is left after the ones is the remainder.

   Divide down to the ones; 1 is left at the end: quotient 1195, remainder 1. Check: 5 × 1195 = 5975, 5975 + 1 = 5976.

7. 7. 1045

   Start dividing at the thousands; whatever is left over joins the next place before you divide again.

   Start at the thousands; what is left over joins the next place: 5225 ÷ 5 = 1045. Check: 5 × 1045 = 5225.

8. 8. 1850

   Start dividing at the thousands; whatever is left over joins the next place before you divide again.

   Start at the thousands; what is left over joins the next place: 9250 ÷ 5 = 1850. Check: 5 × 1850 = 9250.

9. 9. 1608

   Divide place by place. When a middle place is too small for 6, what goes in the quotient there?

   Divide place by place; one place in the middle is too small for 6, so the quotient has a 0 there: 1608. Check: 6 × 1608 = 9648.

10. 10. 1805

    Divide place by place. When a middle place is too small for 4, what goes in the quotient there?

    Divide place by place; one place in the middle is too small for 4, so the quotient has a 0 there: 1805. Check: 4 × 1805 = 7220.

Part B: Choose, or true or false

1. 11. D. 1032

   Divide place by place and watch for a middle place too small for 7: the quotient needs a 0 there.

   Where a place is too small, the quotient gets a 0: 7224 ÷ 7 = 1032.

2. 12. True

   Look at the thousands digit, 5: is it enough to divide by 4? If not, where does the quotient start?

   Look at the thousands digit, 5: if it is at least 4, the quotient starts in the thousands and has four digits; if smaller, it starts in the hundreds and has three.

Part C: Word problems

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

1. 13. 1379 boxes

   Work out 8271 ÷ 6 and see whether any eggs are left over. Those still need a box.

   8271 ÷ 6 = 1378 … 3; the 3 left over need one more box: 1378 + 1 = 1379.

2. 14. 2,353 dollars

   3 tickets cost $7,059 together, all the same price: work out 7059 ÷ 3.

   7059 ÷ 3 = 2353. Check: 3 × 2353 = 7059.

3. 15. 868 boxes

   Work out 6079 ÷ 7 first. Is the money left over enough for another box?

   6079 ÷ 7 = 868 … 3; the $3 left is not enough for another box: 868 at most.

4. 16. 460, 1

   A week has 7 days: work out 3221 ÷ 7. The quotient is the weeks and the remainder the days.

   A week has 7 days: 3221 ÷ 7 = 460 … 1.

5. 17. 1945 masks

   Sharing equally means dividing: 9725 ÷ 5. Divide place by place from the thousands.

   Sharing equally is division: 9725 ÷ 5 = 1945.

6. 18. 1204 boxes

   Work out 9628 ÷ 8 and see whether any eggs are left over. Those still need a box.

   9628 ÷ 8 = 1203 … 4; the 4 left over need one more box: 1203 + 1 = 1204.