Dividing Multi-Digit Whole Numbers: math test solutions, Grade 4 – download the PDF

1 Multiples of 10 and 100 / 4 pts

1. \(32 \div 4 = 8\), so \(320 \div 4 = 80\). (1 pt)
2. \(27 \div 3 = 9\), so \(2{,}700 \div 3 = 900\). (1 pt)
3. \(40 \div 5 = 8\), so \(4{,}000 \div 5 = 800\). (1 pt)
4. \(54 \div 6 = 9\), so \(5{,}400 \div 6 = 900\). (1 pt)

2 Long division / 4 pts

1. \(8 \div 4 = 2\); \(6 \div 4 = 1\) R 2; \(24 \div 4 = 6\). Quotient 216. (1 pt) Check: \(4 \times 216 = 864\). (1 pt)
2. \(15 \div 3 = 5\); \(2 \div 3 = 0\), write 0; \(27 \div 3 = 9\). Quotient 509. (1 pt) Check: \(3 \times 509 = 1{,}527\). (1 pt)

3 Remainders / 3 pts

1. \(8 \times 7 = 56\) and \(59 - 56 = 3\): 7 R 3. (1 pt)
2. \(40 \div 6 = 6\) R 4; bring down the 7 to make 47; \(47 \div 6 = 7\) R 5. The answer is 67 R 5. (1 pt)
3. \(6 \times 67 + 5 = 402 + 5 = 407\). (1 pt)

4 Area model / 3 pts

\(360 \div 6 = 60\). (1 pt) \(12 \div 6 = 2\). (1 pt)

Length: \(60 + 2 = 62\) meters. Check: \(6 \times 62 = 372\). (1 pt)

5 Estimate and divide / 3 pts

1. 2,391 is close to 2,400, and \(2{,}400 \div 8 = 300\). About 300. (1 pt)
2. \(23 \div 8 = 2\) R 7; bring down 9: \(79 \div 8 = 9\) R 7; bring down 1: \(71 \div 8 = 8\) R 7. The answer is 298 R 7. (1 pt) Check: \(8 \times 298 + 7 = 2{,}384 + 7 = 2{,}391\). (1 pt)

6 Guitar strings / 3 pts

Number of packs: \(1{,}230 \div 6 = 205\), because \(6 \times 205 = 1{,}230\). (1 pt)

Sharing among 4 shops: \(205 \div 4 = 51 \text{ R } 1\), because \(4 \times 51 = 204\). (1 pt)

Each shop gets 51 packs and 1 pack is left over. (1 pt)