All the solutions provided in **McGraw Hill Math Grade 4 Answer Key PDF Chapter 4 Lesson 2 Round to Estimate Products** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 4 Answer Key Chapter 4 Lesson 2 Round to Estimate Products

**Math in My World**

Example 1

There are passenger trains in the world that can travel at 267 miles per hour. About how far could a train travel in 3 hours?

Estimate 3 × 267.

Round 267 to its greatest place value.

**Helpful Hint**

267 rounds to ________

Then use basic facts and patterns to multiply.

To which place was 267 rounded? _______

Since 267 was rounded up, the estimated product is greater than the actual product.

So, the train can travel about ___ miles in ____ hours

Answer:

Given that,

There are passenger trains in the world that can travel at 267 miles per hour.

The number of hours is 3.

3 x 267 = 801.

267 rounded to the greatest place value is 300.

3 x 300 = 900.

Since 267 was rounded up, the estimated product is greater than the actual product.

So, the train can travel about 900 miles in 3 hours.

Example 2.

Estimate 8 × 2,496.

Round 2,496 to the thousands place value. Then multiply using basic facts and patterns.

Helpful Hint

2,496 rounds to ____

Since 2,496 was rounded down, the estimated product is less than the actual product.

So, 8 × 2,496 is about _____.

Answer:

8 x 2,496 = 19,968.

2,496 rounded to the greatest place value is 2,000.

8 x 2,000 = 16,000.

Since 2,496 was rounded down, the estimated product is less than the actual product.

So, 8 × 2,496 is about 2,000.

Example 3

Lacey’s older brother is going to a four-year college. The cost of his tuition is $8,562 each year. About how much will 4 years of college tuition cost?

Estimate 4 × $8,562.

Round to the greatest place value. Then multiply.

4 × ____ = ____

Since 8,562 was rounded _____, the estimated product is ___ than the actual product. So, tution will cost about _____.

Answer:

Given that,

The cost of his tuition is $8,562 each year.

The 4 years of college tuition cost is 4 x $8,562 = 34,248.

$8,562 rounded to the greatest place value is 9,000

4 x $9000 = $36,000.

Since 8,562 was rounded 9000, the estimated product is $36,000 than the actual product. So, tuition will cost about $36,000.

**Talk Math**

Which product is closer to the estimate of 1,600: 4 × 385 or 4 × 405? Explain.

Answer:

The product of 4 × 385 is 1,540.

The product of 4 × 405 is 1,620.

The 1,620 is closer to the 1,600 than 1,540.

**Guided Practice**

**Estimate. Round to the greatest place value. Circle whether the estimate is greater than or less than the actual ****product.**

Question 1.

greater than

less than

Answer:

Multiplication of 9 with $870 = $7,830.

9 x $870 = $7,830.

870 rounded to the greatest place value is 900.

Since $870 was rounded up, the estimated product is greater than the actual product.

9 x $900 = $8100.

Question 2.

greater than

less than

Answer:

Multiplication of 3,293 with 3 = 9,879.

3,293 x 3 = 9,879.

3,293 rounded to the greatest place value is 3,000.

Since 3,293 was rounded down, the estimated product is less than the actual product.

3 x 3,000 = 9,000