Standard Algorithm
Area Models
Real-World Problems
Estimation
Multiplicative Comparison
100

What is 24 × 13?

312

100

Use an area model to solve:

23 x 15

345

100

A factory has 17 flights of stairs with 22 stairs in each flight.

How many stairs are there?

374 stairs

100

Estimate 45 × 16 by rounding to the nearest ten.

1,000

100

Armani has 34 hats. Jenilyn has 12 times as many. How many hats does she have?

408 hats

200

What is 46 × 28?

1,288

200

Find the product of:

57 × 18

1,026

200

Javilin buys 35 packages of balloons with 18 balloons in each package.

How many balloons are there in all?

630 balloons

200

Estimate 222 × 783.

160,000

200

Theo saved $143. His parents saved 11 times as much. How much did they save?

$1,573

300

What is 82 × 73?

5,986

300

For 34 × 12, what are the four partial products in an area model?

300, 40, 60, and 8

300

A farmer plants 65 rows of 158 blueberry plants.

How many plants are there altogether?

10,270 plants

300

Estimate 412 × 176.

80,000

300

A bakery sold 24 muffins on Monday. On Tuesday, it sold 15 times as many muffins.

360 muffins

400

What is 158 × 65?

10,270

400

A rectangle has side lengths of 62 units and 14 units.

What is the area?

868 square units

400

A class is going on a field trip. Twenty-three students pay $14 each and two chaperones pay $62 each.

What is the total cost?

$446

400

Which is a reasonable estimate for 288 × 345?

105,000

400

A teacher collected 32 pencils. The fourth-grade team collected 16 times as many pencils.

How many pencils did the fourth-grade team collect?

512 pencils

500

What is 515 × 74?

38,110

500

One factor is decomposed into 70 + 8 and the other into 50 + 4.

What is the product?

4,212

500

A school library orders new books.

24 boxes contain 15 books each, and 4 special collections contain 55 books each.

How many books were delivered in all?

580 books

500

There are 261 participants and each jumps 216 times. Is 40,000 a good estimate? Why or why not?

No. The actual numbers are much larger than 200 x 200. A better estimate is about 300 × 200 = 60,000.

500

A student solved 48 math problems during practice. During a competition, she solved 25 times as many problems.

How many problems did she solve during the competition?

1,200 problems

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