Question

lesson 1.3 multi-digit multiplication
multiply 3,263 by 3. multiply 3,263 by 40. add.
3,263 3,263 3,263 3,263
× 43 × 43 × 43 × 43
9,789 9,789 9,789
130,520 +130,520
dont forget the 0 140,309
since youre
multiplying by a
multiple of 10.
multiply.

1. 985 2. 501 3. 1,251

× 16 × 12 × 36

1. 518 5. 618 6. 374

×126 ×447 ×312

1. 3,218 8. 1,898 9. 2,165

× 446 × 197 × 342

Explanation:

1. Problem 1: Multiply 985 by 16

Step1: Multiply by 6

$985 \times 6 = 5910$

Step2: Multiply by 10

$985 \times 10 = 9850$

Step3: Sum the two results

$5910 + 9850 = 15760$

2. Problem 2: Multiply 501 by 12

Step1: Multiply by 2

$501 \times 2 = 1002$

Step2: Multiply by 10

$501 \times 10 = 5010$

Step3: Sum the two results

$1002 + 5010 = 6012$

3. Problem 3: Multiply 1251 by 36

Step1: Multiply by 6

$1251 \times 6 = 7506$

Step2: Multiply by 30

$1251 \times 30 = 37530$

Step3: Sum the two results

$7506 + 37530 = 45036$

4. Problem 4: Multiply 518 by 126

Step1: Multiply by 6

$518 \times 6 = 3108$

Step2: Multiply by 20

$518 \times 20 = 10360$

Step3: Multiply by 100

$518 \times 100 = 51800$

Step4: Sum the three results

$3108 + 10360 + 51800 = 65268$

5. Problem 5: Multiply 618 by 447

Step1: Multiply by 7

$618 \times 7 = 4326$

Step2: Multiply by 40

$618 \times 40 = 24720$

Step3: Multiply by 400

$618 \times 400 = 247200$

Step4: Sum the three results

$4326 + 24720 + 247200 = 276246$

6. Problem 6: Multiply 374 by 312

Step1: Multiply by 2

$374 \times 2 = 748$

Step2: Multiply by 10

$374 \times 10 = 3740$

Step3: Multiply by 300

$374 \times 300 = 112200$

Step4: Sum the three results

$748 + 3740 + 112200 = 116688$

7. Problem 7: Multiply 3218 by 446

Step1: Multiply by 6

$3218 \times 6 = 19308$

Step2: Multiply by 40

$3218 \times 40 = 128720$

Step3: Multiply by 400

$3218 \times 400 = 1287200$

Step4: Sum the three results

$19308 + 128720 + 1287200 = 1435228$

8. Problem 8: Multiply 1898 by 197

Step1: Multiply by 7

$1898 \times 7 = 13286$

Step2: Multiply by 90

$1898 \times 90 = 170820$

Step3: Multiply by 100

$1898 \times 100 = 189800$

Step4: Sum the three results

$13286 + 170820 + 189800 = 373906$

9. Problem 9: Multiply 2165 by 342

Step1: Multiply by 2

$2165 \times 2 = 4330$

Step2: Multiply by 40

$2165 \times 40 = 86600$

Step3: Multiply by 300

$2165 \times 300 = 649500$

Step4: Sum the three results

$4330 + 86600 + 649500 = 740430$

Answer:

1. $15760$
2. $6012$
3. $45036$
4. $65268$
5. $276246$
6. $116688$
7. $1435228$
8. $373906$
9. $740430$