MATH Student Book
4th Grade | Unit 2
Unit 2 | MULTIPLYING WHOLE NUMBERS
MATH 402 MULTIPLYING WHOLE NUMBERS 1. Multiplication Facts, 6 to 10..................3 Multiplication Facts |4 Problems in Multiplication |6 Self Test 1 |11
2. Place Value to 10,000.......................... 13 Operation Signs |16 Missing Numbers |17 Self Test 2 |19
3. Add and Subtract Fractions................. 21 Rounding and Estimating Whole Numbers to 10’s |23 Self Test 3 |28
1 _ _ 4. Equivalent Fractions............................... 30 4 to 100’s |33 Rounding and Estimating Whole Numbers Self Test 4 |37
5. Application and Review......................... 39 Bar Graphs |45 Self Test 5 |46 LIFEPAC Test |Pull-out
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MULTIPLYING WHOLE NUMBERS | Unit 2
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Unit 2 | MULTIPLYING WHOLE NUMBERS
1. MULTIPLICATION FACTS, 6 TO 10
Objectives Read these objectives. When you have completed this section, you should be able to: Learn multiplication facts for 6 through 10. Solve problems in multiplication.
Complete these activities. 1.1
Solve and name the parts.
a.
478 ______________ + 952
______________
4,863 ______________ + 2,737
______________
______________ ______________
b.
76 ______________ – 49
______________
763 ______________ – 496
______________
______________ ______________
1.2
Answer the multiplication facts.
a. 3 x 2 = _________
9 x 4 = _________
8 x 3 = _________
b. 7 x 2 = _________
6 x 5 = _________
7 x 1 = _________
c. 2 x 3 = _________
8 x 4 = _________
6 x 3 = _________
d. 9 x 2 = _________
3 x 4 = _________
7 x 4 = _________
Section 1 | 3
MULTIPLYING WHOLE NUMBERS | Unit 2 1.3
Write the problems in words. Remember hyphens!
a. 92 + 46 = 138 ____________________________________________________
b. 63 – 37 = 26 _____________________________________________________
c. 8 × 5 = 40 ________________________________________________________
1.4
Write these numbers in order from smallest to largest.
1,436
__________ __________ __________ __________ __________ __________
1,763
1,278
1,463
1,673
1,728
Multiplication Facts You can learn the multiplication facts for 6, 7, 8, 9, and 10. 0
5
10
15
20
25
30
35
40
45
50
50
55
60
65
70
75
80
85
90
95
100
1.5
Write the facts for 6’s.
a. 1 × 6 = _________
b. 2 × 6 = _________
c. 3 × 6 = _________
d. 4 × 6 = _________
e. 5 × 6 = _________
f. 6 × 6 = _________
g. 7 × 6 = _________
h. 8 × 6 = _________
i. 9 × 6 = _________
j. 10 × 6 = _________
4 | Section 1
Start at 6 on the number line. We say one 6 is equal to 6. Add 6 more on the number line. We say two 6’s are equal to 12. Continue to add 6 more until you find the answer to 10 times 6. Follow the same steps for 7, 8, 9, and 10. Write the numbers on the lines.
Try to learn the facts for 6 through 10 before you finish LIFEPAC 402.
Unit 2 | MULTIPLYING WHOLE NUMBERS 1.6
Write the facts for 7’s.
1.7
Write the facts for 8’s.
a. 1 × 7 = _________
a. 1 × 8 = _________
b. 2 × 7 = _________
b. 2 × 8 = _________
c. 3 × 7 = _________
c. 3 × 8 = _________
d. 4 × 7 = _________
d. 4 × 8 = _________
e. 5 × 7 = _________
e. 5 × 8 = _________
f. 6 × 7 = _________
f. 6 × 8 = _________
g. 7 × 7 = _________
g. 7 × 8 = _________
h. 8 × 7 = _________
h. 8 × 8 = _________
i. 9 × 7 = _________
i. 9 × 8 = _________
j. 10 × 7 = _________
j. 10 × 8 = _________
1.8
Write the facts for 9’s.
1.9
Write the facts for 10’s.
a. 1 × 9 = _________
a. 1 × 10 = _________
b. 2 × 9 = _________
b. 2 × 10 = _________
c. 3 × 9 = _________
c. 3 × 10 = _________
d. 4 × 9 = _________
d. 4 × 10 = _________
e. 5 × 9 = _________
e. 5 × 10 = _________
f. 6 × 9 = _________
f. 6 × 10 = _________
g. 7 × 9 = _________
g. 7 × 10 = _________
h. 8 × 9 = _________
h. 8 × 10 = _________
i. 9 × 9 = _________
i. 9 × 10 = _________
j. 10 × 9 = _________
j. 10 × 10 = _________
Section 1 | 5
MULTIPLYING WHOLE NUMBERS | Unit 2
Problems in Multiplication Read each example. Follow the instructions and complete the problems.
Multiply ones’ place.
tens ones
1.10
Write 2 in ones’ place.
2 1
3 2
× 2 __________
× 3 __________
4 2
hundreds tens ones
1.11
2×1=2
Multiply tens’ place.
2×2=4
Write 4 in tens’ place.
2 × 21 = 42
Complete the problem
3 × 32.
Multiply ones’ place.
3×3=9
Write 9 in ones’ place. Multiply tens’ place.
5 3
3 1
× 3 __________
× 4 __________
3 × 5 = 15
Write 5 in tens’ place and 1 in hundreds’ place.
3 × 53 = 159
Complete the problem
4 × 31.
1 5 9
hundreds tens ones
1.12
Multiply tens’ place. 4 3 1
× 2 __________
× 3 __________
2×4=8
Write 8 in tens’ place. Multiply hundreds’ place.
2 × 7 = 14
Write 4 in hundreds’ place and 1 in thousands’ place. Complete the problem
6 | Section 1
2×3=6
Write 6 in ones’ place.
7 4 3
1, 4 8 6
Multiply ones’ place.
2 × 743 = 1,486 3 × 431.
Unit 2 | MULTIPLYING WHOLE NUMBERS Numbers that we multiply have special names.
multiplicand 412 multiplier × 2 product 824
In multiplication, the number being multiplied is the multiplicand, the number doing the multiplying is the multiplier, and the answer is the product.
Complete these activities. 1.13
Look at the problems in exercises 1.10, 1.11, and 1.12.
a. List the multiplicands.
__________ __________ __________ __________ __________ __________
b. List the multipliers.
__________ __________ __________ __________ __________ __________
c. List the products.
__________ __________ __________ __________ __________ __________
1.14
Find the products.
a.
53 × 3
63 × 3
74 × 2
81 × 6
53 × 2
b.
52 × 4
90 × 5
84 × 2
41 × 5
62 × 4
c.
310 × 5
602 × 3
511 × 4
713 × 3
232 × 3
d.
302 × 4
812 × 2
712 × 3
610 × 2
504 × 2
e.
422 × 3
913 × 3
501 × 7
311 × 4
703 × 2
Section 1 | 7
MULTIPLYING WHOLE NUMBERS | Unit 2 1.15
Add the coins. Write “how many” cents. Remember to write the cent sign (¢).
a.
a. ___________________
b.
b. ___________________
c.
c. ___________________
d.
d. ___________________
1.16
Write the correct time for each clock. a. b. 11 10 9
12
1
8
8 | Section 1
2 3 4
11 10 9
12
1
8
2 3 4
c. 11 10 9
12
1
8
2 3 4
d. 11 10 9
12
1
8
2 3 4
7 6 5
7 6 5
7 6 5
7 6 5
____________
____________
____________
____________
Unit 2 | MULTIPLYING WHOLE NUMBERS 1.17
Find the sums.
37 42 + 55
437 265 + 831
4,386 + 2,042
6,091 + 5,483
6,752 + 1,386
1.18
Find the differences.
1.19
Write the measurements.
a. 1 minute = ___________ seconds_
1 hour = ___________ minutes
b. 1 foot = ___________ inches
1 yard = ___________ feet
c. 1 day = ___________ hours
1 quart = ___________ pints
d. 1 gallon = ___________ quarts
1 yard = ___________ inches
52 – 35
93 – 26
427 – 352
835 – 276
793 – 541
1 1 Look at the ruler. Count by inches to 6. Count by __ inches to 6. Count by __ 2 4 inches to 6.
1 __ 4
1 __ 2
3 __ 4
1
2
1.20
Use your ruler to draw a line ...
a. 2 inches
3 inches b. 3__ 4
1 inches c. 5__ 2
1 inches d. 4__ 4
3
4
5
6
Section 1 | 9
MULTIPLYING WHOLE NUMBERS | Unit 2
Complete these activities. 1.21
Color the parts. Write the fraction in numbers and in words.
a. Color four parts.
______ _____________________ ______ _____________________
1.22
“Think” the problem. Write the answer.
a. 2 + 9 + 6 = ______________
7 + 4 + 8 = ______________
b. 8 + 2 + 5 = ______________
4 + 5 + 3 = ______________
b. Circle three parts.
Review the material in this section to prepare for the Self Test. The Self Test will check your understanding of this section. Any items you miss on this test will show you what areas you will need to restudy in order to prepare for the unit test. 10 | Section 1
Unit 2 | MULTIPLYING WHOLE NUMBERS
SELF TEST 1 Complete these activities (each answer, 1 point). 1.01
Solve and write the names of the terms.
a.
365 ______________ b. + 540
______________
431 ______________ – 276
______________
______________ ______________
Write the answers to the facts (each set of answers, 2 points). 1.02
a. (6 × 6 through 10 × 6)
b. (6 × 7 through 10 × 7)
6 × 7 = ____________
7 × 7 = ____________
8 × 6 = ____________
8 × 7 = ____________
9 × 6 = ____________
9 × 7 = ____________
10 × 6 = __________
10 × 7 = __________
c. (6 × 8 through 10 × 8)
d. (6 × 9 through 10 × 9)
6 × 6 = ____________
7 × 6 = ____________
6 × 9 = ____________
7 × 9 = ____________
8 × 8 = ____________
8 × 9 = ____________
9 × 8 = ____________
9 × 9 = ____________
10 × 8 = __________
10 × 9 = __________
e. (6 × 10 through 10 × 10)
6 × 8 = ____________
7 × 8 = ____________
6 × 10 = __________
7 × 10 = __________
8 × 10 = __________
9 × 10 = __________
10 × 10 = _________
Section 1 | 11
MULTIPLYING WHOLE NUMBERS | Unit 2 Complete these activities (each answer, 1 point). 1.03
Solve and write the names of the terms.
a.
______________
1.04
Multiply.
1.05
Add the coins. Write “how many” cents. Remember to write the cent sign (¢).
31 ______________ × 4
42 × 3
______________
92 × 4
401 × 8
613 × 3
921 × 2
1.06
Write the measurements.
a. 1 minute = ___________ seconds_
1 hour = ___________ minutes
b. 1 foot = ___________ inches
1 yard = ___________ feet
c. 1 day = ___________ hours
1 quart = ___________ pints
d. 1 gallon = ___________ quarts
1 yard = ___________ inches
1.07
Use your ruler to draw a line ...
1 a. 1__ inches 2
1 inches b. 3__ 4
1.08
“Think” the problem. Write the answer.
7 + 8 + 2 = ______________
12 | Section 1
____________________
5 + 9 + 6 = ______________
Teacher check:
Initials ____________
Score ______________________
Date
____________
32 40
MAT_Gr3-5
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