Four-digit numbers times and divided by two digits worksheet

Part A: Working out and filling in

1. 1. 300

   7800 is 78 hundreds. First think: 26 times what makes 78? That's how many hundreds.

   7800 is 78 hundreds, and 78 ÷ 26 = 3, so the quotient is 3 hundreds: 300.

2. 2. 177000

   3000 is 3 thousands. Work out 3 × 59 first, then put three 0s on the end.

   3000 is 3 thousands: 3 × 59 = 177, and 177 thousands is 177000.

3. 3. 62170

   Times 10, every digit of 6217 moves one place left, and the ones place gets a 0.

   Times 10, every digit moves one place left and a 0 goes on the end: 6217 × 10 = 62170.

4. 4. 200

   9600 is 96 hundreds. First think: 48 times what makes 96? That's how many hundreds.

   9600 is 96 hundreds, and 96 ÷ 48 = 2, so the quotient is 2 hundreds: 200.

5. 5. 230

   Round 43 to the nearest ten to try each digit, and divide 9890 place by place from the left.

   Round 43 to tens to try each digit, place by place: 9890 ÷ 43 = 230. Check: 230 × 43 = 9890.

6. 6. 271320

   60 is 6 tens: work out 4522 × 6 first, then put a 0 on the end.

   First 4522 × 6 = 27132, then put a 0 on the end: 271320.

7. 7. 445400, 44540, 489940

   Start with 8908 × 50: that is 8908 × 5 with a 0 on the end.

   8908 × 50 = 445400, 8908 × 5 = 44540, 445400 + 44540 = 489940.

8. 8. 20, 17

   Round 54 to tens to try each digit and divide place by place; what's left, smaller than 54, is the remainder.

   Quotient 20, remainder 17. Check: 20 × 54 = 1080, 1080 + 17 = 1097.

9. 9. 412368

   Split 66 into 60 and 6, multiply each by 6248, then add.

   Split 66: 6248 × 60 = 374880, 6248 × 6 = 37488, which add up to 412368.

10. 10. 405

    Divide place by place. If, after bringing down a digit, it is too small for 12, that quotient digit is 0.

    After bringing down a digit it is too small for 12, so the quotient's tens digit is 0: 405. Check: 405 × 12 = 4860.

11. 11. 26, 82

    Do 2448 ÷ 91 first for the quotient and remainder; the remainder goes on top and 91 underneath.

    2448 ÷ 91 = 26 … 82. The remainder 82 is the numerator and the divisor 91 the denominator: 26 8291.

Part B: Choose, or true or false

1. 12. C. 219514

   Split 82 into 80 and 2 and multiply each by 2677: the tens part needs its 0 on the end.

   2677 × 82 = 2677 × 80 + 2677 × 2 = 219514.

Part C: Word problems

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

1. 13. 110 coaches

   Work out 5927 ÷ 54 first. If there is a remainder, what happens to the people left over?

   5927 ÷ 54 = 109 … 41; the 41 left over need a coach too: 109 + 1 = 110.

2. 14. 222 bags

   You need 9546 ÷ 43: round 43 to the nearest ten to try each digit, and divide place by place.

   9546 ÷ 43 = 222. Check: 222 × 43 = 9546.

3. 15. 38400 spectators

   You need 1600 × 24: split 24 into tens and ones, multiply each by 1600, then add.

   1600 × 24 = 38400.

4. 16. 430 dollars

   Change 3 years into months first: a year has 12 months. Then work out the instalments' total.

   3 years is 36 months. The instalments come to 150 × 36 = $5,400, which is $5,400 − $4,970 = $430 more than $4,970.

5. 17. 64428 toys

   You need 2478 × 26: split 26 into tens and ones, multiply each by 2478, then add.

   2478 × 26 = 64428.

6. 18. 150 coaches

   Work out 9554 ÷ 64 first. If there is a remainder, what happens to the people left over?

   9554 ÷ 64 = 149 … 18; the 18 left over need a coach too: 149 + 1 = 150.