All the solutions provided in **McGraw Hill Math Grade 4 Answer Key PDF Chapter 1 Lesson 6 Problem Solving Investigation: Use the Four-Step Plan** will give you a clear idea of the concepts.

## McGraw-Hill My Math Grade 4 Answer Key Chapter 1 Lesson 6 Problem Solving Investigation: Use the Four-Step Plan

1. Understand

What facts do you know?

Ben, Andy, and Kelly each live in a different city.

The populations for each city are: ____; ____; and _____

What do you need to find?

the population of _____ city

2. Plan

I can order and round the populations.

3. Solve

Order the populations from least to greatest. 225,395; 372,952; 373,926

____ lives in the city with the least population.

Round the remaining populations to the nearest thousand.

372,952 rounds to _____. 373,926 rounds to ____

Kelly lives in the city with the population that rounds to 374,000. So, Ben must live in the city that has a population of _____

4. Check

Does your answer make sense? Explain.

Answer:

Given that,

Order the populations from least to greatest. 225,395; 372,952; 373,926.

225,395 lives in the city with the least population.

372,952 rounds to the nearest thousand is 373,000

373,926 rounded to the nearest thousand is 374,000.

Kelly lives in the city with the population that rounds to 374,000. So, Ben must live in the city that has a population of 373,926.

**Practice the Strategy**

It is estimated that a movie made more than $7,000,000 but less than $8,000,000. There is a 5 in the thousands place, a 7 in the ten thousands place, and a 6 in the hundred thousands place. The ones, tens, and hundreds places have zeros in them because the total is an estimate. What is the estimated amount of money that the movie made?

1. Understand

What facts do you know?

_____________

_____________

What do you need to find?

2. Plan

3. Solve

4. Check

Does your answer make sense? Explain.

Answer:

Given that

The estimated movie made more than $7,000,000 but less than $8,000,000.

There is a 5 in the thousands place.

7 in the ten thousands place.

6 in the hundred thousands place.

The ones, tens, and hundreds place have 0.

Therefore the estimated amount of money that the movie made is 675,000.

**Apply the Strategy**

**Solve each problem by using the four-step plan.**

Question 1.

**Mathematical PRACTICE 5 Use Math Tools** Mr. Kramer is buying a car. The list of prices is shown in the table.

Mr. Kramer wants to buy the least expensive car. Which car should he buy?

Answer:

Given that,

The price of car A is $83,532

The price of car B is $24,375

The price of car C is $24,053

The price of car D is $73,295

The Mr. Kramer wants the least expensive car.

According to the prices the least expensive car is car B.

Question 2.

A restaurant made more than $80,000 but less than $90,000 last month. There is a 6 in the ones place, a 3 in the thousands place, a 7 in the hundreds place, and a 1 in the tens place. How much money did the restaurant make last month?

Answer:

Given that,

The restaurant made more than $80,000 less than $90,000 last month.

There is 6 in the ones place.

3 in the thousands place.

7 in the hundreds place

1 in the tens place.

Therefore the restaurant make in the last month is 83,716.

The 83,716 is middle of $80,000 and $90,000.

Question 3.

Amy, Lisa, Angie, and Doug live in different states. The populations of those states are 885,122; 5,024,748; 4,492,076; and 2,951,996. Lisa lives in the state with the greatest population. Doug lives in the state with a 2 in the thousands place of the population. Amy lives in the state with the least population. What is the population of Angie’s state?

Answer:

Given that,

The Amy, Lisa, Angie, and Doug live in different states.

The population of 4 different states are 885,122; 5,024,748; 4,492,076; and 2,951,996.

Lisa lives in the greatest population state that is 885,122.

Doug lives in the state with a 2 in the thousands place of the population that is 4,492,076.

Amy lives in the least population state that is 2,951,996.

Therefore the Angie’s lives in the 5,024,748 population state.

Question 4.

The New Meadowlands Stadium in New Jersey seats a large number of fans. There are zeros in the tens and ones places, a 2 in the thousands place, an 8 in the ten thousands place, and a 5 in the hundreds place. How many people does the stadium seat?

Answer:

Given that,

The New Meadowlands Stadium in New Jersey seats a large number of fans.

There are zeros in the tens and ones places.

2 in the thousands place

8 in the ten thousands place

5 in the hundreds place

Therefore the people in the stadium seat is 82,500.

**Review the Strategies**

Use any strategy to solve each problem.

- Make a table.
- Choose an operation.
- Act it out.
- Draw a picture.

Question 5.

The table at the right shows which types of canned foods were collected during a food drive.

What was the most popular type of canned food collected?

Answer:

Given that,

The canned foods collected the tomatoes is 59,294.

The canned foods collected the beans is 159,002.

The canned foods collected the corn is 45,925.

The canned foods collected the soup is 903,690.

Therefore the most popular food collected by the canned foods is soup.

Question 6.

The population of a city has 6 digits. There is a 3 in the tens place, a 5 in the hundred thousands place, a 6 in the ones place, and a 9 in the rest of the places. What is the population of the city?

Answer:

Given that,

The population of a city has 6 digits.

There are 3 in the tens place

5 in the hundred thousands place.

6 in the ones place

9 in the rest of the places.

Therefore the population of the city is 9,500,036.

Question 7.

A warehouse stores cans of paint. There is a 3 in the hundreds place, a 7 in the thousands place, a 5 in the ten thousands place, and an 8 in the rest of the places. This number has 5 digits. How many cans of paint are in the warehouse?

Answer:

Given that,

The warehouses stores cans of paints

There are 3 in the hundreds place

7 in the thousands place

5 in the ten thousands place

8 in the rest of the places.

The number is a 5 digit number.

Therefore the number of cans of paint are in the warehouses is 87,358.

Question 8.

**Mathematical PRACTICE 7 Identify Structure** A car’s mileage is a five-digit number. There is a 3 in the ten thousands place, the ones place, and the tens place. There is a 9 in the hundreds place and the thousands place. What is the car’s mileage?

Answer:

Given that,

The mileage of a car is 5 digits number.

The number 3 in the ten thousands place, ones place, and tens place.

There is a 9 in the hundreds place and the thousands place.

Therefore the car mileage is 39,933.

### McGraw Hill My Math Grade 4 Chapter 1 Lesson 6 My Homework Answer Key

**Problem Solving**

Question 1.

A five-digit number has a 3 in the hundreds place, a 7 in the greatest place-value position, a 9 in the ones place, an 8 in the thousands place, and a 6 in the tens place. What is the number? Use the four-step plan.

Answer:

Given that,

The five digit number has 3 in the hundreds place.

7 in the greatest place value position.

9 in the ones place.

8 in the thousands place

6 in the tens place.

Therefore the five digits number is 78,369.

**Solve each problem by using the four-step plan.**

Question 2.

Use the digits 1—7 to create a seven-digit number that can be rounded to 6,300,000.

Answer:

The number that can be rounded to the 6,300,000 is

We need to assume that the thousands place value is less than or equal to 4 and the number in the ten thousands place is also a 4 or less than 4.

Therefore the number is 6,342,517.

The number 6,342,517 rounded to 6,300,000.

Question 3.

A seven-digit number has a 0 in the ones place, a 6 in the ten thousands place, an 8 in the millions place, and fives in each of the remaining places. What is the number?

Answer:

Given that,

The number is 7 digits number.

The number in the ones place is 0.

6 in the ten thousands place.

8 in the millions place

5 in each remaining places.

Therefore the 7 digits number is 8,565,550.

Question 4.

Tara rolled the numbers shown. What is the greatest number she can make using each digit once?

________________

Answer:

The greatest number is 864321.

Here the greater number is in one lakhs place.

The second greatest number is in the ten thousands place.

The third greatest number is in the thousands place.

The fourth greatest number is in the hundreds place.

The fifth greatest number is in the tens place.

The smallest number is in the ones place.

Question 5.

Betsy, Carl, and Dave each live in different cities. The populations of the cities are 194,032; 23,853; and 192,034. Betsy lives in the city with the least population. Carl does not live in the city with the greatest population. What is the population of Dave’s city?

Answer:

Given that,

Betsy, Carl, and Dave each live in different cities.

The populations of the cities are 194,032; 23,853; 192,034.

Betsy lives in the least population city that is 23,853.

Carl does not live in the greatest population city that is 192,034.

Therefore the Dave’s lives in the 194,032 population city it is the greatest population city.

Question 6.

**Mathematical PRACTICE 6 Explain to a Friend** Explain how the value of the 7 in 327.902 will chan2e if you move it to the tens place.

Answer:

The 7 in the thousands place means it is 7000.

If you change it to tens place its value is 70.