All the solutions provided in McGraw Hill Math Grade 4 Answer Key PDF Chapter 4 Lesson 11 Multiply Across Zeros will give you a clear idea of the concepts.
McGraw-Hill My Math Grade 4 Answer Key Chapter 4 Lesson 11 Multiply Across Zeros
Math in My World
Example 1
Ivan’s braces cost $108 each month. How much will Ivan’s parents pay in 6 months?
Find 6 × $108.
Estimate 6 × $108
One Way Distributive Property
Another Way Partial Products
So, Ivan’s parents will pay ___ in 6 months.
Check for Reasonableness
The answer, ____, is close to the estimate, ____.
Answer:
Given that,
Ivan’s braces cost $108 each month.
Total number of months are 6.
From the distributive property.
From partial products
So, Ivan’s parents will pay 648 in 6 months.
The answer, 648, is close to the estimate, 650.
Example 2
If three trees are each 2,025 years old, what is the total age of the trees?
So, the total age of the trees is ____ years.
Check for Reasonableness
The answer, ____, is close to the estimate, ____
Answer:
So, the total age of the trees is 6,075 years.
The answer is 6,075 close to the estimate 6,080.
Talk Math
Explain how to find the product of 4 and 2,008.
Answer:
Given that,
Product of 4 and 2,008.
First multiply the ones place.
4 x 8 ones = 32 = 3 tens and 2 ones.
Second multiply the tens place.
4 x 0 ten = 0.
Third multiply the hundreds place.
4 x 0 hundred = 0.
Fourth multiply the thousands place.
4 x 2 thousand = 8 = 8 thousands
The estimated answer is 8,040
Guided Practice
Multiply. Check for reasonableness.
Question 1.
Estimate:
3 × 300 = ____
Answer:
First multiply the ones place.
3 x 3 ones = 9 ones.
Second multiply the tens place.
3 x 0 ten = 0 tens.
Third multiply the hundreds place.
3 x 3 hundred = 9 hundreds.
The estimation of 3 x 300 is.
Multiplication of 3 with 300 then you get 900.
3 x 300 = 900.
Therefore the estimated answer is 900.
Question 2.
Estimate:
6 × $500 = ____
Answer:
First multiply the ones place.
6 x 7 ones = 42 ones = 4 tens 2 ones
Second multiply the tens place.
6 x 0 ten = 0 tens.
Third multiply the hundreds place.
6 x 5 hundred = 30 hundreds.
The estimation of 6 x $500 is.
Multiplication of 6 with $500 then you get $3000.
6 x $500 = $3,000.
Therefore the estimated answer is $3,000.
Independent Practice
Multiply. Check for reasonableness.
Question 3.
Estimate:
_____ × ____ = _____
Answer:
First multiply the ones place.
2 x 1 ones = 2 ones = 2 ones
Second multiply the tens place.
2 x 0 ten = 0 tens.
Third multiply the hundreds place.
2 x 2 hundred = 4 hundreds.
The estimation of 200 x 2 is.
Multiplication of 200 with 2then you get 400.
200 x 2 = 400.
Therefore the estimated answer is 400.
Question 4.
Estimate:
_____ × ____ = _____
Answer:
First multiply the ones place.
3 x 2 ones = 6 ones = 6 ones
Second multiply the tens place.
3 x 0 ten = 0 tens.
Third multiply the hundreds place.
3 x 4 hundred = 12 hundreds.
The estimation of 400 x 3 is.
Multiplication of 400 x 3 then you get 1,200.
400 x 3 = 1,200.
Therefore the estimated answer is 1,200.
Question 5.
Estimate:
_____ × ____ = _____
Answer:
First multiply the ones place.
5 x 9 ones = 45 ones = 4 tens 5 ones.
Second multiply the tens place.
5 x 0 ten = 0 tens.
Third multiply the hundreds place.
5 x 7 hundred = 35 hundreds.
The estimation of 800 x 5 is.
Multiplication of 800 x 5 then you get 4,000.
800 x 5 = 4,000.
Therefore the estimated answer is 4,000.
Question 6.
904 × 9 = ____
Estimate:
Answer:
First multiply the ones place.
9 x 4 ones = 36 ones = 3 tens 6 ones.
Second multiply the tens place.
9 x 0 ten = 0 tens.
Third multiply the hundreds place.
9 x 9 hundred = 81 hundreds.
The estimation of 900 x 9 is.
Multiplication of 900 x 9 then you get 81,00.
900 x 9 = 81,00.
Therefore the estimated answer is 81,00.
Question 7.
2 × $1,108 = ____
Estimate:
Answer:
First multiply the ones place.
2 x 8 ones = 16 ones = 1 tens 6 ones.
Second multiply the tens place.
9 x 0 ten = 0 tens.
Third multiply the hundreds place.
2 x 1 hundred = 2 hundreds.
Fourth multiply the thousands place.
2 x 1 thousand = 2 thousand.
The estimation of 1100 x 2 is.
Multiplication of 1100 x 2 then you get 1,100.
1100 x 2 = 2,200.
Therefore the estimated answer is 2,200.
Question 8.
4 × 6,037 = ____
Estimate:
Answer:
First multiply the ones place.
4 x 7 ones = 28 ones = 2 tens 8 ones.
Second multiply the tens place.
4 x 3 ten = 12 = 12 tens.
Third multiply the hundreds place.
4 x 0 hundred = 0 hundreds.
Fourth multiply the thousands place.
4 x 6 thousand = 24 thousand.
The estimation of 6,040 x 4 is.
Multiplication of 6,040 x 4 then you get 24,160.
6,040 x 4 = 24,160.
Therefore the estimated answer is 24,160.
Question 9.
8,504 × 3 = ____
Estimate:
Answer:
First multiply the ones place.
3 x 4 ones = 12 ones = 1 ten 2 ones.
Second multiply the tens place.
3 x 0 ten = 0 tens.
Third multiply the hundreds place.
3 x 5 hundred = 15 hundreds.
Fourth multiply the thousands place.
3 x 8 thousand = 24 thousand.
The estimation of 8500 x 3 is.
Multiplication of 8500 x 3 then you get 25,500.
8,500 x 3 = 25,500.
Therefore the estimated answer is 25,500.
Question 10.
6 × 6,007 = ____
Estimate:
Answer:
First multiply the ones place.
6 x 7 ones = 42 ones = 4 ten 2 ones.
Second multiply the tens place.
6 x 0 ten = 0 tens.
Third multiply the hundreds place.
6 x 0 hundred = 0 hundreds.
Fourth multiply the thousands place.
6 x 6 thousand = 36 thousand.
The estimation of 6000 x 6 is.
Multiplication of 6000 with 6 then you get 36,000.
8,500 x 3 = 36,000.
Therefore the estimated answer is 36,000.
Question 11.
5 × $9,082 = ____
Estimate:
Answer:
First multiply the ones place.
5 x 7 ones = 35 ones = 3 ten 5 ones.
Second multiply the tens place.
5 x 8 ten = 40 tens.
Third multiply the hundreds place.
5 x 0 hundred = 0 hundreds.
Fourth multiply the thousands place.
5 x 9 thousand = 45 thousand.
The estimation of 9080 x 5 is.
Multiplication of 9080 with 5 then you get 45,500.
9,080 x 5 = 45,500.
Therefore the estimated answer is 45,500.
Algebra Find the unknown number.
Question 12.
6 × 4,005 = s
s = ____
Answer:
Multiplication of 6 with 4,005 then you get 24,030.
6 x 4,005 = 24,030
Therefore the unknown number s = 24,030.
Question 13.
9,002 × 9 = q
q = ____
Answer:
Multiplication of 9,002 with 9 then you get 81,018.
9,002 x 9 = 81,018.
Therefore the unknown number q is 81,018.
Question 14.
$8,009 × 7 = r
r = ____
Answer:
Multiplication of $8,009 with 7 then you get $56,063.
$56,063 x 7 = $56,063.
Therefore the unknown number r = $56,063.
Problem Solving
Question 15.
Mathematical PRACTICE 2 Stop and Reflect Large pool equipment sets cost $1,042. Small pool equipment sets cost $907. How much does it cost to buy 3 large pool equipment sets?
How much more does it cost to buy 2 large pool equipment sets than 2 small pool equipment sets?
Answer:
Given that,
Large pool equipment sets cost $1,042.
Small pool equipment sets cost $907.
The cost to by 3 Large pool equipment sets is $1,042 x 3 = $3072.
The cost of 2 large pool equipment sets is $1042 x 2 = $2048.
The cost of 2 Small pool equipment sets is $907 x 2 = $1814.
So, $2048 – $1814 = $234.
Therefore $234 more to buy the Large pool equipment sets.
Question 16.
Diller Elementary is collecting money to donate to a charity. $103 is collected each month. How much money is collected in 9 months?
Answer:
Given that,
Diller Elementary is collected $103 in each month.
The total number of months are 9.
So, $103 x 9 = $927.
Therefore for 9 months Diller Elementary collected $927.
HOT Problems
Question 17.
Mathematical PRACTICE 2 Understand Symbols Complete the number sentence.
Answer:
Multiplication of 9,100 with 2 then you get 18,200.
9,100 x 2 = 18,200.
Question 18.
Mathematical PRACTICE 2 Which One Doesn’t Belong? Circle the expression that does not belong.
Answer:
Multiplication of 4,006 with 5 then you get 20,030.
4006 x 5 = 20,030.
Multiplication of 3,015 with 2 then you get 6030.
3,015 x 2 = 6030.
Multiplication of 2010 with 3 then you get 6030.
2010 x 3 = 6030.
Multiplication of 1206 with 5 then you get 6030.
1206 x 5 = 6030.
From four expressions 4006 x 5 expression is not belonging to the remaining three.
So, circle the expression 4006 x 5.
Question 19.
? Building on the Essential Question Why do the products of multi-digit numbers with zeros and one-digit numbers sometimes have zeros in them and sometimes have no zeros in them?
Answer:
The products of multi-digit numbers with zeros is
12 x 0 = 0.
They multi digit numbers with 0 will get product 0.
McGraw Hill My Math Grade 4 Chapter 4 Lesson 11 My Homework Answer Key
Practice
Multiply. Check for reasonableness.
Question 1.
Answer:
Multiplication of 709 with 6 then you get 4,254.
709 x 6 = 4,254.
Question 2.
Answer:
Multiplication of 905 with 5 then you get 4,525.
905 x 5 = 4,525.
Question 3.
Answer:
Multiplication of 5,079 with 8 then you get 40,632.
5,079 x 8 = 40,632.
Question 4.
Answer:
Multiplication of 2,006 with 4 then you get 8,024.
2,006 x 4 = 8,024.
Multiply. Check for reasonableness.
Question 5.
Answer:
Multiplication of 5,001 with 9 then you get 45,009.
5,001 x 9 = 45,009.
Question 6.
Answer:
Multiplication of 4,807 with 7 then you get 33,649.
4,807 x 7 = 33,649.
Question 7.
Answer:
Multiplication of 3004 with 3 then you get 9012.
3,004 x 3 = 9012.
Question 8.
Answer:
Multiplication of 8,060 with 3 then you get 24,180.
8,060 x 3 = 24,180.
Question 9.
6,010 × 8 = ____
Answer:
Multiplication of 6,010 with 8 then you get 48,080.
6,010 x 8 = 48,080.
Question 10.
9,012 × 6 = ____
Answer:
Multiplication of 9,012 with 6 then you get 54,072.
9,012 x 6 = 54,072.
Question 11.
2 × 1,805 = ____
Answer:
Multiplication of 2 with 1,805 then you get 3,610.
2 x 1805 = 3,610.
Question 12.
4 × 1,009 = ____
Answer:
Multiplication of 4 with 1,009 then you get 4,036.
4 x 1,009 = 4,036.
Problem Solving
Question 13.
The art teacher ordered 201 sets of markers for his classroom. Each set has 8 markers. How many markers did he order in all?
Answer:
Given that,
The art teacher ordered 201 sets of markers for his classroom.
Each set has 8 markers.
The number of markers are 8 x 201 = 1,608.
Therefore the number of markers that the teacher ordered is 1,608.
Question 14.
Brent rode his bicycle 4 miles on Saturday. There are 1,760 yards in a mile. How many yards did Brent ride on Saturday?
Answer:
Given that,
Brent rode his bicycle 4 miles on Saturday.
There are 1,760 yards in a mile.
Brent ride on Saturday is 4 x 1,760 = 7040.
Therefore Brent ride on Saturday is 7040 yards.
Question 15.
Mathematical PRACTICE 2 Use Number Sense Lorna packs 1,024 socks in each large box at the sock factory. What is the total number of socks in 7 large boxes?
Answer:
Given that,
Lorna packs 1,024 socks in each large box at the sock factory.
The total number of boxes are 7.
The total number of socks in 7 large boxes are 7 x 1024 = 7,168.
Therefore the total number of socks in 7 boxes are 7,168.
Test Practice
Question 16.
There are 405 windows in the office building. Each window has 9 panes. How many window panes does the building have in all?
A. 4,059
B. 3,645
C. 3,600
D. 4,009
Answer:
Given that,
There are 405 windows in the office building.
Each window has 9 panes.
So, 405 x 9 = 3,645.
Option B is the correct answer.