## Math Expressions Common Core Grade 4 Unit 4 Lesson 6 Answer Key Graphs and Comparison Problems

**Math Expressions Grade 4 Unit 4 Lesson 6 Homework**

The graph below shows the amount of snow recorded each month last winter. Use the graph for Problems 1-6.

Snowfall Last Winter

Question 1.

During which month was the amount of snow recorded 12 inches greater than the amount of snow recorded in December?

Answer:

In the month of february the snow was recorded 12 inches greater than the month of december.

Explanation:

December the amount of snow is 12 inches and in january it is 24 inches

24-12=12

Therefore, in the month of february the snow was recorded 12 inches greater than the month of december.

Question 2.

How many fewer inches of snow were recorded in March than were recorded in February?

Answer:

18 inches fewer snow were recorded in march than in febrauary.

Explanation:

In the month of february the amount of snow is 24 inches and in the month of march the amount of snow is 6 inches

24-6=18

Therefore, 18 inches fewer snow were recorded in march than in febrauary.

Question 3.

The total amount of snow shown in the graph is 4 times as much snow as was recorded during the winter of 2004. How much snow was recorded during the winter of 2004?

Answer:

Explanation:

The sum of the amount of snow recored in the months nov, dec, jan, feb and march given above is 2+12+8+24+6=52

The amount of snow recorded during the winter of 2004 is 4 x 52 = 208

Therefore, The amount of snow recorded during the winter of 2004 is 208 inches.

Question 4.

Write an addition equation and a subtraction equation that compare the number of inches of snow recorded during December (d) to the number of inches of snow recorded during March (m).

Answer:

12-6=6 and 12+6=18

Explanation:

In the month of december the amount of snow is 12 inches and in the month of march the amount of snow is 6 inches

The addition and subtraction equation is that compare the number of inches of snow recorded during December and march are 12-6=6 and 12+6=18.

Question 5.

Write a multiplication equation and a division equation that compare the number of inches of snow recorded during November (n) to the number of inches of snow recorded during January (j).

Answer:

2+8=10 and 8/2=4

Explanation:

In the month of november the amount of snow is 2 inches and in the month of january the amount of snow is 8 inches

The addition and division equation is that compare the number of inches of snow recorded during December and march are 2+8=10 and 8/2=4.

Question 6.

On a separate sheet of paper, write a sentence about the graph that contains the words times as much.

Answer:

The amount of snow recorded each month last winter are in november it is 2 inches, december 12 inches, january it is 8 inches, february it is 24 inches and in march it is 6 inches.

**Math Expressions Grade 4 Unit 4 Lesson 6 Remembering**

**Sketch an area model for each exercise. Then find the product.**

Question 1.

28 × 45 ________

Answer:

Explanation:

The product of 28 and 45 is 1260.

Question 2.

53 × 96 ________

Answer:

Explanation:

The product of 53 and 96 is 5088.

**Solve using any method.**

Question 3.

Answer:

Explanation:

506 divided 9 leaves the reminder 2 and the quotient is 56.

Question 4.

Answer:

Explanation:

538 divided by 2 leaves 0 as reminder and the quotient is 269.

Question 5.

Answer:

Explanation:

8165 divided by 7 leaves 3 as reminder and the quotient is 1166.

**Write and solve an equation to solve each problem. Draw comparison bars when needed. Show your work.**

Question 6.

Benjamin received 52 emails at work today. This is 4 times as many emails as he received yesterday. How many emails did Benjamin receive yesterday?

Answer:

Explanation:

Benjamin received 52 emails at work today. This is 4 times as many emails as he received yesterday

52 x 4 = 208

Therefore, Bejamin received 208 emails yesterday.

Question 7.

There are 327 third-grade students on a field trip at the history museum. There are 423 fourth-grade students on the same field trip. How many fewer third-grade students are there than fourth-grade students on the field trip?

Answer:

Explanation:

There are 327 third-grade students on a field trip at the history museum. There are 423 fourth-grade students on the same field trip.

423 – 327 = 96

Therefore, 96 fewer third-grade students are there than fourth-grade students on the field trip.

Question 8.

**Stretch Your Thinking** Look at the graph. Tatiana says there are 4 more dog owners than fish owners in the classroom. Explain Tatiana’s error. Then write an equation that compares the numbers of dog owners and fish owners in the classroom.

Answer:

Explanation:

Tatiana says there are 4 more dog owners than fish owners in the classroom

Tatiana’s error is she drew 2 more smilies in the graph

There are 8 dog owners in the classroom and 4 fish owners in the classroom.

4 x 2 = 8 is the equation that compares the numbers of dog owners and fish owners in the classroom.