Multiply by Multiples 10, 100 & 1,000
Mental Math: Round to Estimate Products
The Distributive Property
Standard Algorithm
100

3 x 70= 

210

100

6 x 112=

 About 600

100

Use Distributive to solve (box method)

5 x 921=

(5 x900) + (5x20) + (5x1) =

4,500 + 100 + 5 = 4,601

100

227 x 3 =

681

200

6 x 400=

2,400

200

4 x 2,610=

About 12,000

200

Use Distributive to solve (box method)

4 x 352=

(4 x 300) + (4 x 50) + (4 x 2) =

1,200 + 200 + 8 = 1,408

200

1,165 x 7 =

8,155

300

8 x 6,000= 

48,000


300

3 x 287=

Round 287 to ____

3 x ______= ______

3 x 300= 900

300

Use Distributive Property to solve box method

6 x 310= 

(300x6) (10x6) (0x6)

1,800 + 60= 1,860

300

4,826 x 6 =

28,956

400

7,000 x 4=

28,000

400

5 x 1,240 = 9,200

Is this reasonable?

Round 1,240 to ______.

5 x _____= _______.

5 x 1,000= 5,000

9,200 is not reasonable.

400

Use Distributive Property to solve box method


4 x 1,554 = _________


(1,000x4) (500x4) (50x4) (4x4)

4,000 +2,000 + 200 + 16 = 6,216

400

2,459 x 7 = 

17,213

500

The Mississippi River is about 8 times the length of the Hudson River. If the Hudson River is about 300 miles long, about how many miles is the Missippi River?

8 x 300= m

m= 2,400

About 2,400 miles

500

Elle estimates the product of 211 and 6 is 1,800. Is this estimate reasonable? Explain.

No.

211 should be rounded to 200 and then multiplied by 6 to get 1,200. 

200 x 6= 1,200

500

A lodge at a state park has 49 rooms. Up to 5 people can stay in each room. What is the maximum number of people who can at stay the lodge at one time? Use the box method

 ______ toes?

245 people 

500

Tommy spent $259 on 4 computers each. Use standard algorithm to find out how much money Tommy spent in total. 

$1,036

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