Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers

Adding Whole Numbers

How do you add whole numbers?

If an artificial coral reef grew 257 inches last year and 567 inches this year, how much did it grow in all?
Envision Math 4th Grade Answer Key Topic 2.6 Adding Whole Numbers 1
Envision Math 4th Grade Answer Key Topic 2.6 Adding Whole Numbers 2
Estimate: 300 + 600 = 900

Another Example
How do you add more than two numbers?

Find the sum.
9,348 + 102 + 5,802 + 1,933
A. 17,185
B. 17,175
C. 16,175
D. 15,175

Estimate: 9,000 + 100 + 6,000 + 2,000 = 17,100

Step 1

Add the ones.
Regroup if necessary
Envision Math 4th Grade Answer Key Topic 2.6 Adding Whole Numbers 4

Step 2

Add the tens.
Regroup if necessary.
Envision Math 4th Grade Answer Key Topic 2.6 Adding Whole Numbers 5

Step 3

Add the hundreds, regroup, and then add the thousands.
Envision Math 4th Grade Answer Key Topic 2.6 Adding Whole Numbers 6

The correct answer is A

Explain It

Question 1.
How are the ones regrouped in the example above?
Answer:

Question 2.
Reasonableness In Step 3 above, how can you tell that the answer is reasonable?
Answer:

Step 1

Add 257 + 567.
Add the ones.
Regroup if necessary.
Envision Math 4th Grade Answer Key Topic 2.6 Adding Whole Numbers 10

Step 2

Add the tens.
Regroup if necessary.
Envision Math Grade 4 Answer Key Topic 2.6 Adding Whole Numbers 11

Step 3
Add the hundreds. Regroup if necessary
Envision Math Grade 4 Answer Key Topic 2.6 Adding Whole Numbers 12
The reef grew 824 inches in all.

Other Examples

Adding larger numbers
Add 36,424 + 24,842.
Estimate:
36,000 + 25,000 = 61,000
Envision Math Grade 4 Answer Key Topic 2.6 Adding Whole Numbers 13
The sum is reasonable because it is close to the estimate of 61,000.

Adding more than two numbers
Add 130,283 + 263,823 + 396,538.
Estimate:
130,000 + 264,000 + 397,000 = 791,000
Envision Math Grade 4 Answer Key Topic 2.6 Adding Whole Numbers 14
The sum is reasonable because it is close to the estimate of 791,000.

Guided Practice*

In 1 through 6, find each sum.

Question 1.
821 + 4,543
Answer:

Question 2.
14,926 + 3,832
Answer:

Question 3.
1,321 + 2,246
Answer:

Question 4.
24,593 + 16,861
Answer:

Question 5.
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 20
Answer:

Question 6.
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 21
Answer:

Do You Understand?

Question 7.
When adding 36,424 and 24,842 above, why is there no regrouping in the 2nd step?
Answer:

Question 8.
Volunteer teams identified 73 fish species, 30 corals, and 71 other invertebrates on the reef. How many species of fish, coral, and
invertebrates were found in all?
Answer:

Independent Practice

In 9 through 24, find each sum.

Question 9.
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 30
Answer:

Question 10.
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 31
Answer:

Question 11.
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 32
Answer:

Question 12.
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 33
Answer:

Question 13.
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 34
Answer:

Question 14.
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 35
Answer:

Question 15.
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 36
Answer:

Question 16.
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 37
Answer:

Question 17.
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 38
Answer:

Question 18.
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 39
Answer:

Question 19.
9,634 + 2,958
Answer:

Question 20.
4,673 + 262
Answer:

Question 21.
7,845 + 509 + 3,746
Answer:

Question 22.
526 + 276 + 1,086
Answer:

Question 23.
2,868 + 865
Answer:

Question 24.
15,891 + 527 + 1,086
Answer:

Problem Solving

Question 25.
In 1972, the Apollo 16 lunar rover set the current lunar speed record at 11 miles per hour. In order to break free from Earth’s orbit, Apollo missions had to go 24,989 miles per hour faster than the record speed of the lunar rover. How fast did the Apollo rockets travel?
Answer:

Question 26.
There were 10,453 items checked out of the public library one week. The next week 12,975 items were checked out. A week later, 9,634 items were checked out. How many items were checked out in three weeks?
Answer:

Question 27.
Sandy read 235 pages of a book. She had 192 more pages to read before she was done. How many pages are there in the book?
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 41
Answer:

Question 28.
Cheryl and Jason collect baseball cards. Cheryl has 315 cards, and Jason has 186 cards. How many cards do they have altogether?
Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 42
Answer:

Question 29.
Number Sense The sum of 86, 68, and 38 is 192. What do you know about the sum of 68, 38, and 86?
Answer:

Question 30.
Estimation Maria added 45,273 and 35,687. Will her answer be greater or less than 80,000?
Answer:

Question 31.
The population of New City is 23,945. Eastdale has a population of 12,774. What is the total population of the two communities?
A. 35,719
B. 36,619
C. 36,719
D. 37,619
Answer:

Mixed Problem Solving

Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 60

Question 1.
Estimate how much higher Mount Shasta is than Lassen Peak.
Answer:

Question 2.
Estimate how much higher above sea level Mount Whitney is than the depth of Death Valley.
Answer:

Question 3.
Estimate the range of the width of Death Valley.

Envision Math 4th Grade Textbook Answer Key Topic 2.6 Adding Whole Numbers 61

Question 4.
Estimate how many years the Spanish governed California.
Answer:

Question 5.
Estimate which group governed California for a longer period of time: the Spanish government or the Mexican government.
Answer:

Question 6.
About how many years has the United States been governing the State of California?
Answer:

Question 7.
About how many years have passed since the Spanish government first started to govern California?
Answer:

Question 8.
It is about 50 miles from San Jose to San Francisco. From San Francisco to Sacramento, it is about 80 miles. Following that route, about how far is it from San Jose to Sacramento?
Answer:

Question 9.
Mammoth Lakes, elevation 7,920 feet, is the town with the highest elevation in California. Mount Whitney, with an elevation of 14,495,
feet is the highest point in California. Estimate how much higher Mount Whitney is than Mammoth Lakes.
Answer:

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