All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 2 Lesson 2 Addition and Subtraction Patterns will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 2 Lesson 2 Addition and Subtraction Patterns
Math in My World
Example 1
On Friday, 1,323 people saw the new movie at a local theater. On Saturday, 1,000 more people saw the new movie. On Sunday, 100 less people saw the movie than on Saturday. How many people saw the movie each day?
1. Cut 4 strips of paper. Place each strip of paper on each of the columns shown. Cover the numbers.
2. Slide the strips of paper up to show 1 thousand, 3 hundreds, 2 tens, and 3 ones.
3. Slide the paper down one row in the hundreds column to show the number of people who saw the movie on Sunday. Write this number in the place-value chart.
4. Slide the paper down one row in the hundreds column to show the number of people who saw the movie on Sunday. Write this number in the place-value chart.
So, 2,323 people saw the movie on Saturday and 2,423 saw the movie on Sunday.
Example 2
Miss Starcher drew a puzzle on the whiteboard. The puzzle contains a pattern. Solve her puzzle by filling in the two blank boxes.
1. Each number in the first column is 1000 more than the number in the row above it.
So, 79,245 + 1 ,000 = 80,245.
2. Each number in the last column is 10 more than the number in the row above it.
So, 80,525 + 10 = 80,535.
Check
Each number in the last row is 100 more than the number before it.
Since 80,245 + 100 = 80,345, the answer in the first column is correct.
Talk Math
What do you look for when you look for a number pattern?
Answer: When numbers in a pattern get larger as the sequence continues, they are in an ascending pattern. Ascending patterns often involve multiplication or addition.
When numbers in a pattern get smaller as the sequence continues, they are in a descending pattern. Descending patterns often involve division or subtraction.
Explanation:
For Example, 0, 5, 10 ,15 ,20 ,25 ,30 ,35….. is an Ascending patterns
and 100, 90 ,80 ,70 ,60 ,50 ,40…. is Descending patterns
Guided Practice
Write each number.
Question 1.
1,000 more than 3,872
Answer: 4,872
Explanation:
more than refers to add ups
So, 3,872 + 1000 = 4,872
Question 2.
10 less than 221
Answer: 211
Explanation:
Less than refers to subtract
So, 221 – 10 = 211
Complete the table.
Question 3.
Answer: 1000 more
Explanation:
more than refers to add ups
37,828 + 1000 = 38,828
So, the change will be 1000
Question 4.
Answer: 730,174
Explanation:
Less than refers to subtract
830,174 – 100,000 = 730,174
So, the end will be 730,174
Complete each number sentence.
Question 5.
36,525 + ___ = 36,625
Answer: 100 more
Explanation:
more than refers to add ups
So, 36,525 + 100 = 36,625
Question 6.
98,264 – ____ = 88,264
Answer: 10,000 less
Explanation:
Less than refers to subtract
So, 98,264 – 10,000 = 88,264
McGraw Hill My Math Grade 4 Chapter 2 Lesson 2 My Homework Answer Key
Practice
Write each number.
Question 1.
100 less than 877
____________
Answer: 777
Explanation:
Less than refers to subtract
So, 877 – 100 = 777
Question 2.
10,000 more than 6,310
____________
Answer: 16,310
Explanation:
more than refers to add ups
So, 10,000 + 6,310 = 16,310
Question 3.
10 more than 1,146
____________
Answer: 1,156
Explanation:
more than refers to add ups
So,1,146 + 10 = 1,156
Question 4.
1,000 less than 9,052
____________
Answer: 8,052
Explanation:
Less than refers to subtract
So, 9,052 – 1,000 = 8,052
Question 5.
1,000 more than 37,542
____________
Answer: 38,542
Explanation:
more than refers to add ups
So, 37,542 + 1,000 = 38,542
Question 6.
10 less than 2,727
____________
Answer: 2,717
Explanation:
Less than refers to subtract
So, 2,727 -10 = 2,717
Complete each number sentence.
Question 7.
1,100 + ___ = 1,200
Answer: 100
Explanation:
more than refers to add ups
So,
1,100 + 100 = 1,200
Question 8.
40,619 – ___ = 39,619
Answer: 1,000
Explanation:
Less than refers to subtract
So, 40,619 – 1,000 = 39,619
Question 9.
63,088 – ___ = 53,088
Answer: 10,000
Explanation:
Less than refers to subtract
So, 63,088 – 10,000 = 53,088
Question 10.
4,514 + ___ = 4,524
Answer: 10
Explanation:
more than refers to add ups
So, 4,514 + 10 = 4,524
Complete each pattern.
Question 11.
7,213; ______; 7,413; 7513
Answer: 7,313
Explanation:
Given pattern is in Ascending pattern
a series that begins with the least or smallest and ends with the greatest or largest
7,213; 7,313 ; 7,413; 7513
Question 12.
32,877; 42,877; 52,877; ____
Answer: 62,877
Explanation:
Given pattern is in Ascending pattern
a series that begins with the least or smallest and ends with the greatest or largest
32,877; 42,877; 52,877; 62,877
Question 13.
967, 957, ___, 937
Answer: 947
Explanation:
Given pattern is in Descending pattern
a series that begins with the greatest or largest and ends with the least or smallest.
967, 957, 947 , 937
Question 14.
3222; ____; 3,220; 3,219
Answer: 3221
Explanation:
Given pattern is in Descending pattern
a series that begins with the greatest or largest and ends with the least or smallest.
3222; 3221 ; 3,220; 3,219
Problem Solving
Question 15.
Cady had 435 marbles. One week she used her allowance to buy more, and she had 445 marbles. The next week, she bought more and had 455 marbles. Circle the correct pattern.
100 more 10 more 10 less 100 less
Answer: 10 more
Explanation:
Given, Cady had 435 marbles. One week she used her allowance to buy more, and she had 445 marbles.
The next week, she bought more and had 455 marbles.
that will be, 435 , 445 , 455 marbles
So, she has 10 more each week
Question 16.
Mathematical PRACTICE 8 Look for a Pattern Lito keeps track of books in a warehouse. Every month he updates a chart that shows the number of books in stock. For one title, his chart shows 54,350; 44,350; 34,350. If the pattern continues, what number will Lito’s chart show next month?
Answer: The number will be 24,350 for the chart next month.
Explanation:
Given, For one title, his chart shows 54,350; 44,350; 34,350
It shows a descending pattern with the difference of 10,000
Then, the next number will be 24,350 books
So, The number will be 24,350 for the chart next month.
Question 17.
Angela uses a large pitcher to water her plants. When the pitcher is full, it holds 384 ounces. Angela gives each plant 100 ounces of water. How much water is left in the pitcher after Angela waters two plants?
Answer: 184 ounces of water is left in the pitcher after Angela watering two plants
Explanation:
Given, When the pitcher is full, it holds 384 ounces.
Angela gives each plant 100 ounces of water.
If she waters a plant then the pitcher has 384 – 100 = 284 ounces, as to water each plant she gives 100 ounces of water to the plants.
Now, for 2 plants it will be 2000 ounces, then 384 – 200 = 184 ounces
So, 184 ounces of water is left in the pitcher after Angela watering two plants
Test Practice
Question 18.
Identify the number pattern. 21,344; 20,344; 19,344
A. 10 less
B. 10,000 less
C. 1,000 less
D. 100 less
Answer: C, 1,000 less
Explanation:
The pattern shows a Descending pattern
with a difference of 1,000 less
So, the number pattern is 1,000 less.