fourth grade basic math success (sylvan workbooks)

BASIC MATH

SUCCESS

ACTIVITIES, EXERCISES, AND TIPS TO HELP CATCH UP, KEEP UP, AND GET AHEAD

4thGRADE

Develop a strong foundation in math with Sylvan’s proven

techniques for success

4th G

RA

DE

2 MILLION INDIVIDUAL SUCCESS STORIES (and COUNTING!)

Success in math requires children to make connections between the real world and math concepts in order to solve problems. Successful problem solvers will be ready for the challenges of mathematics as they advance to more complex topics. The activities in this workbook are designed to help your children catch up, keep up, and get ahead. Best of all, they’ll have lots of fun doing it! Some of the great features you’ll fi nd inside are:

COMPUTATION STATION Students get lots of opportunities to build their confi dence in multiplication and division of two- and three-digit numbers by one- and two-digit numbers.

FRACTION SUBTRACTIONAfter developing a solid understanding of fractions, students learn to apply their subtraction skills to fractions.

CASH CRUNCHCalculating the value of money provides practical practice in adding and subtracting decimals.

THE MIGHTY MARLOCKGuessing any weight is The Mighty Marlock’s gig, but sometimes he guesses wrong. Students decide where Marlock goes astray, reinforcing their knowledge of standard and metric measurement.

MYSTERY SHAPEStudents use process of elimination with hints about sides, angles, and vertices, to fi nd a mystery polygon or three-dimensional shape.

Give your child’s confi dence in math a boost with 4th Grade Basic Math Success.

SYLVAN LEARNING has been the premier provider of tutoring services in North America for 30 years. With over 1,000 learning centers in the U.S. and Canada, Sylvan has helped

millions of children in grades pre-K through 12 realize their full potential. Sylvan provides individualized tutoring in its centers, at home, and online in

subjects including reading, math, writing, and study skills. Visit www.SylvanLearning.com to learn more.

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Contents Place Value

1 Place Value 3

2 Comparing Numbers 7

3 Rounding & Estimating 11

Review 15

Addition & Subtraction

4 Adding 5-Digit Numbers 17

5 Subtracting 5-Digit Numbers 21

6 Estimating Sums & Differences 25

Review 27

Multiplication & Division

7 Multiplication Facts 29

8 Multidigit Multiplication 31

9 Division Facts 39

10 Multidigit Division 41

Review 47

Fractions & Decimals

11 Recognizing Fractions 51

12 Comparing Fractions 53

13 Adding & Subtracting Fractions 55

14 Recognizing Decimals 59

15 Comparing Decimals 63

16 Adding & Subtracting Decimals 65

Review 69

Measurement

17 Length 73

18 Area & Perimeter 81

19 Weight 85

Review 93

Geometry

20 Angles 97

21 Plane Shapes 99

22 Solid Shapes 105

23 Parallel & Perpendicular Lines 111

24 Flips, Slides & Turns 113

Review 115

Answers 119

Sylvan_9780375430428_lay_r1_01.indd 1 10/30/09 12:18:15 PM

Place Value

1

3

Number WordsWRITE the number words for each number.

HINT: Commas make big numbers easier to read. A comma belongs after the millions place and after the thousands place in both the number and its written form.

Example:

1. 2,439

2. 41,582

3. 736,120

4. 5,824,416

5. 9,301,558

3,694,527

3,000,000 three million

600,000 six hundred thousand

90,000 ninety thousand

4,000 four thousand

500 five hundred

20 twenty

7 seven

two thousand, four hundred thirty-nine

3,694,527 in written form is three million, six hundred ninety-four thousand,

five hundred twenty-seven.


Place Value

4

What’s My Number?WRITE the number.

HINT: Don’t forget the comma after the millions place and the thousands place. Starting at the right, count every three digits to the left and add a comma.

1. six thousand, nine hundred forty-two

2. five hundred sixty-four thousand, one hundred eighty-one

3. two million, two hundred twenty-three thousand, eight hundred forty-six

4. ninety thousand, three hundred thirty-seven

5. four million, one hundred nineteen thousand, six hundred seventy-three

6. seven thousand, three hundred fourteen

7. one million, eight hundred eighty-two thousand, four hundred fifty

8. seventy-six thousand, five hundred eight

9. two hundred thirty thousand, seven hundred twenty-nine

10. seven million, four hundred ninety-one thousand, two hundred seventy-seven

6,942


Place Value

1

5

Find Your PlaceIDENTIFY the place of each digit. Then WRITE the digit.

Example: 7, 1 4 8, 9 3 6

millions

thousandstensones

ten thousandshundreds

hundred thousands

6,251,319

millions

hundred thousands

ten thousands

thousands

hundreds

tens

ones

1,994,857

millions

hundred thousands

ten thousands

thousands

hundreds

tens

ones

7,842,523

millions

hundred thousands

ten thousands

thousands

hundreds

tens

ones

4,370,284

millions

hundred thousands

ten thousands

thousands

hundreds

tens

ones

5,719,688

millions

hundred thousands

ten thousands

thousands

hundreds

tens

ones

8,523,762

millions

hundred thousands

ten thousands

thousands

hundreds

tens

ones

8

5

2

3

7

6

2

1.

4. 5.

2.

6.

3.


Place Value

6

High FivesFIND the 5 in each number. WRITE the place of each 5.

1. 3,533,972 place

2. 6,085,427 place

3. 5,174,819 place

4. 2,940,758 place

5. 8,258,133 place

6. 1,719,605 place

7. 3,562,394 place

8. 9,894,541 place

hundred thousands


Comparing Numbers

2

7

Mismatched WRITE > or < in each box.

7

907 738 612 599

776 862 423 2,423

5,275 891 1,006 950

6,472 3,565 8,717 7,818

4,063 4,157 9,899 10,099

32,751 51,336 12,655 12,461

103,003 88,724 642,195 448,449

854,545 548,484 365,272 365,709

>

1

3

5 6

10

12

14

16

8

9

11

13

15

7

4

2


Comparing Numbers

8

Matched or Mismatched? WRITE >, <, or = in each box.

4,080,867 6,959,864 2,777,549 1,696,093

5,623,452 5,623,452 2,785,975 1,536,698

7,928,059 9,507,088 6,471,341 8,459,450

4,892,580 4,892,580 3,470,189 3,578,206

1,116,896 1,128,553 8,295,416 8,290,643

7,580,088 7,583,130 5,494,364 5,492,964

9,746,931 9,746,959 6,016,551 6,016,551

2,173,219 2,173,419 4,999,016 4,999,009

1

3

5

7

9

11

13

15

2

4

6

8

10

12

14

16


Comparing Numbers

2

9

Which One? CIRCLE the largest number in each row.

1. 5,036 6,874 5,239 6,790

2. 10,175 9,628 11,160 10,181

3. 26,696 25,217 28,879 27,688

4. 680,391 634,805 650,864 678,945

5. 3,085,780 3,162,983 3,112,536 3,186,797

6. 7,194,027 7,198,003 7,006,472 7,156,321


Comparing Numbers

10

Which One? CIRCLE the smallest number in each row.

1. 3,420 4,038 3,877 3,975

2. 16,516 14,359 15,078 14,238

3. 45,348 46,070 45,297 45,904

4. 912,531 852,268 902,277 885,648

5. 4,163,588 4,647,766 4,531,690 4,290,312

6. 6,267,832 6,299,421 6,267,828 6,301,005


11

Rounding & Estimating

3Round AboutRounding makes numbers easier to work with.

Numbers that end in 1 through 499 get rounded down to the nearest thousand.

Numbers that end in 500 through 999 get rounded up to the nearest thousand.

Numbers that end in 1 through 4,999 get rounded down to the nearest ten thousand.

Numbers that end in 5,000 through 9,999 get rounded up to the nearest ten thousand.

ROUND to the nearest thousand.

ROUND to the nearest ten thousand.

5,000

30,000

5,436

34,398

5,579

35,602

6,000

40,000

10. 83,723

13. 58,149

16. 15,890

1. 1,024

4. 8,647

7. 9,428

11. 17,607

14. 62,996

17. 44,444

2. 7,885

5. 2,712

8. 4,530

12. 23,652

15. 74,342

18. 33,501

3. 6,133

6. 4,603

9. 5,499


12


Round About Numbers that end in 1 through 49,999 get rounded down to the nearest hundred thousand. 635,612 600,000

Numbers that end in 50,000 through 99,999 get rounded up to the nearest hundred thousand. 659,782 700,000

Numbers that end in 1 through 499,999 get rounded down to the nearest million. 1,422,034 1,000,000

Numbers that end in 500,000 through 999,999 get rounded up to the nearest million. 1,599,278 2,000,000

1. 707,269

3. 133,805

5. 225,173

7. 448,883

9. 3,248,955

11. 4,701,205

13. 5,212,111

15. 2,566,089

2. 595,389

4. 360,056

6. 968,615

8. 556,724

10. 9,313,548

12. 7,119,125

14. 1,492,166

16. 6,430,209

ROUND to the nearest million.

ROUND to the nearest hundred thousand.


13


3Guess and CheckEstimating is making a reasonable guess about something. How many jellybeans are on this page? WRITE your estimate. Then CIRCLE a group of 20 jellybeans. WRITE a new estimate. CHECK page 119 to see how close your estimates were.

Estimate 1: Estimate 2: Check:


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All rights reserved.

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