Here are the solutions for the multiplication problems on the worksheet. I have calculated each product step-by-step to ensure accuracy.
1. $420 \times 389$
* $420 \times 9 = 3,780$
* $420 \times 80 = 33,600$
* $420 \times 300 = 126,000$
* Total: $3,780 + 33,600 + 126,000 = \mathbf{163,380}$
2. $833 \times 849$
* $833 \times 9 = 7,497$
* $833 \times 40 = 33,320$
* $833 \times 800 = 666,400$
* Total: $7,497 + 33,320 + 666,400 = \mathbf{707,217}$
3. $687 \times 599$
* $687 \times 9 = 6,183$
* $687 \times 90 = 61,830$
* $687 \times 500 = 343,500$
* Total: $6,183 + 61,830 + 343,500 = \mathbf{411,513}$
4. $774 \times 483$
* $774 \times 3 = 2,322$
* $774 \times 80 = 61,920$
* $774 \times 400 = 309,600$
* Total: $2,322 + 61,920 + 309,600 = \mathbf{373,842}$
5. $383 \times 775$
* $383 \times 5 = 1,915$
* $383 \times 70 = 26,810$
* $383 \times 700 = 268,100$
* Total: $1,915 + 26,810 + 268,100 = \mathbf{296,825}$
6. $155 \times 330$
* Since the bottom number ends in 0, we can multiply $155 \times 33$ and add a zero at the end.
* $155 \times 3 = 465$
* $155 \times 30 = 4,650$
* $465 + 4,650 = 5,115$
* Add the zero back: $\mathbf{51,150}$
7. $402 \times 957$
* $402 \times 7 = 2,814$
* $402 \times 50 = 20,100$
* $402 \times 900 = 361,800$
* Total: $2,814 + 20,100 + 361,800 = \mathbf{384,714}$
8. $946 \times 556$
* $946 \times 6 = 5,676$
* $946 \times 50 = 47,300$
* $946 \times 500 = 473,000$
* Total: $5,676 + 47,300 + 473,000 = \mathbf{525,976}$
9. $471 \times 918$
* $471 \times 8 = 3,768$
* $471 \times 10 = 4,710$
* $471 \times 900 = 423,900$
* Total: $3,768 + 4,710 + 423,900 = \mathbf{432,378}$
Final Answer:
1. 163,380
2. 707,217
3. 411,513
4. 373,842
5. 296,825
6. 51,150
7. 384,714
8. 525,976
9. 432,378
Parent Tip: Review the logic above to help your child master the concept of three digit multiplication worksheet.
