Name
Lesson 10.1
Mental Math: Multiplication Patterns
Use patterns and mental math to find the product.
1. 50 ⫻ 3,000
2. 7 ⫻ 40
3. 8 ⫻ 1,000
4. 50 ⫻ 700
5. 12 ⫻ 2,000
6. 70 ⫻ 200
7. 11 ⫻ 120
8. 90 ⫻ 80
ALGEBRA Complete the tables by using mental math.
9. 1 roll ⫽ 20 nickels
Rolls
20
Nickels
400
ⴛ
7
11.
40
2,800
12.
60
30
10. 1 roll ⫽ 60 dimes
40
60
50
700
600
20
Dimes
1,200
ⴛ
8
13.
50
400
14.
90
8,000
480,000
Rolls
30
40
40
50
500
600
9,000
810,000
Problem Solving and Test Prep
USE DATA For 15–16, use the table.
15. What if you wanted to magnify
Insect Lengths
a termite 6,000 times? How long
would the termite appear to be?
Insect
Carpenter Bee
16. Which would appear longer, a termite
magnified 1,200 times or a wasp
magnified 900 times?
17. How many zeros are in the product of
B
5
19
Fire Ant
4
Termite
12
Wasp
15
18. How many zeros must be in the
400 ⫻ 500?
A 4
Length (in mm)
product of 1,000 and any factor?
6
D 7
A no more than 3
C
B
PW64
at least 3
C
none
D always 12
Practice
© Harcourt • Grade 4
MXENL08ASE4X_PHTE_C10_L1.indd PW64
8/7/07 9:26:32 AM
Name
Lesson 9.7
Problem Solving Workshop Skill:
Evaluate Reasonableness
Use patterns and mental math to find the product.
1. 50 ⫻ 3,000
2. Vivian spends $6.49 on lunch every
eggs each week. How much does
Mr. Kohfeld spend on eggs in 4 weeks?
day. How much does Vivian spend on
lunch in 7 days?
$45.43; yes, because it is
between $35.00 and $42.
$5.48; yes because it is
between $4.80 and $8.00.
Mixed Applications
5. The Miller family eats 9 bowls of cereal
6. Joe spent $25.87 for groceries. He
each day. How many bowls of cereal
does the Miller family eat in a year
(365 days)? How do you know your
answer is reasonable?
3,285 bowls; possible answer:
it is between my estimates
of 2,700 and 3,600
bought cereal for $6.25, eggs for
$5.37, pancake mix for $3.67, bacon
for $7.25, and juice. How much did
Joe spend on juice?
$3.33
3 inches
9. 1 roll ⫽ 20 nickels
Rolls
20
Nickels
400
40
50
600
600; 800; 1,000; 12,000
ⴛ
7
11.
40
2,800
12.
60
60
700
480,000
20
Dimes
1,200
30
40
50
600
ⴛ
8
13.
50
400
14.
90
40
500
9,000
810,000
11. 2,400; 28,000; 320,000 13. 2,000; 25,000; 450,000
12. 420; 3,600; 42,000
14. 720; 3,600; 42,000
Problem Solving and Test Prep
USE DATA For 15–16, use the table.
15. What if you wanted to magnify
Insect Lengths
Insect
Carpenter Bee
Length (in mm)
19
Fire Ant
4
Termite
12
Wasp
15
the termite
17. How many zeros are in the product of
11 in.
400 ⫻ 500?
13 in.
A 4
5
B
Circled problems are suggested homework problems.
PW63
Rolls
1,800; 2,400; 3,000; 36,000
8,000
magnified 1,200 times or a wasp
magnified 900 times?
what is the overall height of the wall?
48 inches
30
10. 1 roll ⫽ 60 dimes
16. Which would appear longer, a termite
9 in.
8. If the finished wall is 6 stones high,
7,200
1,320
14,000
72,000 mm
?
5 in.
7 in.
8. 90 ⫻ 80
ALGEBRA Complete the tables by using mental math.
USE DATA For 7–8, use the information from the stone wall.
If the pattern continues, how thick will
the next stone be?
35,000
7. 11 ⫻ 120
a termite 6,000 times? How long
would the termite appear to be?
7. Tanya is building this wall from stone.
4. 50 ⫻ 700
8,000
6. 70 ⫻ 200
24,000
27 words correctly. Chris spelled 5 more
words correctly than Elise. How many
words did each student spell correctly?
7,343 calories; yes because it Chris: 16; Elise: 11
is between 7,000 and 8,400.
3. 8 ⫻ 1,000
280
5. 12 ⫻ 2,000
4. Together Elise and Chris spelled
breakfast of 1,049 calories each
morning. How many calories does
Yoshi eat at breakfast in 7 days?
2. 7 ⫻ 40
150,000
Solve the problem. Then evaluate the reasonableness
of your answer.
3. Yoshi is an athlete who eats a
Lesson 10.1
Mental Math: Multiplication Patterns
Problem Solving Skill Practice
1. Mr. Kohfeld buys a $1.37 carton of
Name
18. How many zeros must be in the
B
product of 1,000 and any factor?
6
D 7
A no more than 3
C
B
at least 3
C
B
none
D always 12
Circled problems are suggested homework problems.
PW64
Practice
Practice
© Harcourt • Grade 4
© Harcourt • Grade 4
MXENL08ASE4X_PHTE_C10_L1.indd PW64
Lesson 9.7
Item
8/7/07 9:26:32 AM
Lesson 10.1
Suggested rationale
Item
Suggested rationale
2
multiplication of money
2
multiply by multiple of 10
3
multiplication, of a 4-digit
number with money
7
multiply by multiple of 10
4
guess and check
9
multiply by multiples of 10 to
complete a function table
5
multiplication of 3-digit
numbers
13
multiply by multiples of 10 to
complete a function table
6
multi-step problem
16
use a table to compare
products
7
recognizing and using
patterns
17
multiple choice; multiply using
multiples of 10
PW63-PW64
© Harcourt · Grade 4
MXENL08AWK4X_PHTE_Rat.indd PW63-PW64
8/7/07 9:54:36 AM