Mathematics Form 1 Chapter 1 4d2u3b
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G-6
Chapter 1 - Whole Numbers
Section I.
Whole Number System
Section II.
Addition & Subtraction of Whole Numbers
Section IV.
Multiplication of Whole Numbers
Section V.
Division of Whole Numbers
1
G-6 Whole Numbers Chapter 1 / Section I - Whole Number System
Whole Number System Whole numbers are the set of numbers that starts from 0 and increment by 1. ie. 0, 1, 2, 3, ... Odd numbers: 1, 3, 5, 7, ...
Natural numbers
Even numbers: 2, 4, 6, 8, ...
Whole numbers Zero, 0
A prime number is a natural number with exactly two different factors. 1
2
3
Examples
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21 ...
Complete the expression by adding an appropriate symbol (>, <, or =) in the box. 1 212
221
2 4,265
1 212 < 221
Solutions
4,255
2 4,265 > 4,255 ⇒ 4 2 6 5
⇐ 6
>5
4255 Exercise #1
Complete the expression by adding an appropriate symbol (>, <, or =) in the box. 1 12 3 119 5 32,559
Example
9
2 246 119
4 26,958
32,550
6 615,523
252 27,001 616,000
List numbers 112, 64, 59, 102, 69 in a descending order. Descending order is from greatest to least.
Solution
Thus, 112, 102, 69, 64, 59. Exercise #2
List each set of numbers in a descending order.
In ascending order, numbers are listed
1 99, 89, 102, 115, 95
2 145, 615, 725, 75, 612
from least to greatest.
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1/29
1
G-6 Whole Numbers Chapter 1 / Section I - Whole Number System
Place Value Place value is the value of a digit in a number.
Ones Period
Ten millions
Millions
Hundred thousands
Ten thousands
Thousands
Hundreds
Tens
Ones
ex. 5,300,271 ⇒ The 5 is in the millions place
Hundred millions
Thousands Period
Billions
Millions Period
Ten billions
Hundred billions
Billions Period
5
6
0
1
5
6
0
0
0
1
2
and its value is 5,000,000. Standard form: 250,098 Expanded form: 200,000 + 50,000 + 90 + 8 Word form: Two hundred fifty thousand, ninety-eight
ex. In word form, the number 56,015,600,012 reads "Fifty-six billion, fifteen million, six hundred thousand, twelve."
Example
Write the number in standard form: "Eighty billion, five hundred eleven million, two thousand, five hundred sixty-two" Thousands Period
Ones Period
⇒ Place value chart can be used for
Hundred millions
Ten millions
Millions
Hundred thousands
Ten thousands
Thousands
Hundreds
Tens
Ones
easier conversion.
Billions
Hundred billions Exercise #3
Millions Period
Ten billions
Billions Period
Solution
8
0
5
1
1
0
0
2
5
6
2
The number is 80,511,002,562.
Write the number in standard form. 1 Nineteen billion, six hundred seventy-five thousand, four hundred forty-eight 2 Four million, six hundred thirty-two thousand, eighty-two 3 Two hundred billion, five hundred thirty-one million, two hundred seventy-five
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Chapter 1 / Section I - Whole Number System
Write 4,210,620,559 in words.
Solution
Exercise #4
⇒ Four billion, two hundred ten million,
Hundred thousands
Ten thousands
Thousands
Hundreds
Tens
Ones
Ones Period
Millions
Thousands Period
Ten millions
Millions Period
Hundred millions
Hundred billions
Billions Period
Billions
Example
Ten billions
1
G-6 Whole Numbers
4
2
1
0
6
2
0
5
5
9
six hundred twenty thousand, five hundred fifty-nine
Write each number in words. 1 35,550 2 14,000,216 3 4,041,506,220
Examples
Complete.
Solutions
1 90 tens = _______ hundreds
2 6 millions = ________ thousands
1 90 tens = 9 hundreds
2 6 millions = 6,000 thousands
⇐ Count # of zeros between two place names.
Exercise #5
Complete.
Copyright © by K12 Plus Venture
1 7 hundreds = ________ tens
2 50 hundreds = ________ thousands
3 12 millions = ________ thousands
4 20 thousands = ________ hundreds
5 2 billions = ________ ten millions
6 15 tens = ________ ones
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3/29
1
G-6 Whole Numbers Chapter 1 / Section I - Whole Number System
Examples
Write the number in expanded form.
Solutions
1 3,559
2 224,069
1 3,559 = 3,000 + 500 + 50 + 9
2 224,069 = 200,000 + 20,000 + 4,000 + 60 + 9
Exercise #6
Write the number in expanded form.
Expanded form of a number shows the
1 1,586
2 3,509
3 16,885
4 25,690
5 6,120,010
6 70,805,602
place value of each digit.
Examples
Round each number to the underlined place.
Solutions
1 214,050
2 3,580,812,115
1 214,050 ≈ 210,000
2 3,580,812,115 ≈ 3,581,000,000
⇑
⇑
4 is less than 5. So, round down. Exercise #7
Exercise #8
8 is greater than 5. So, round up.
Round each number to the underlined place. 1 61,059
2 921,005
3 74,825,009
4 32,069,558
Round to the nearest ten thousand.
Copyright © by K12 Plus Venture
1 32,559
2 617,002
3 1,562,005
4 4,740,511
www.k12plus.net
4/29
1
G-6 Whole Numbers Chapter 1 / Section I - Whole Number System
Exercise #9
Solve. 1 Jessica has 11 more baseball cards than Eileen. Eileen has 6 more baseball cards than Emily. How many more baseball cards does Jessica have than Emily?
2 If "A" represents 28 and "B" represents 48, what number does the letter "C" represent? A
B
C
3 A whole number is rounded up to 6,400. The difference between the exact number and the rounded number is 50. What is the exact number?
4 Examine the number 520,913,620. Find the sum of the ten millions place digit and the hundred thousands place digit.
5 In the number 6,162,445,322, in what place is the 1?
6 What is 60,000,000 + 500,000 + 7,000 + 600 + 90 + 1 in standard form?
7 Four quarters equals the same value as $1. How many quarters equals the same value as $20?
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5/29
1
G-6 Whole Numbers Chapter 1 / Section I - Back To The Basics
Exercise #10
Exercise #11
Exercise #12
Add or subtract. 1 152 + 64
2 98 + 325
3 152 + 308
4 147 + 852
5 150 + 91 + 52
6 14 + 12 + 35
7 526 − 84
8 365 − 216
9 956 − 554
10 1256 − 475
Multiply. 1 46 × 4
2 112 × 9
3 65 × 70
4 124 × 8
5 68 × 11
6 150 × 24
7 87 × 60
8 56 × 45
Find the quotient and the remainder.
Copyright © by K12 Plus Venture
1 125 ÷ 8
2 224 ÷ 9
3 325 ÷ 12
4 405 ÷ 17
5 1,250 ÷ 6
6 426 ÷ 25
7 872 ÷ 41
8 640 ÷ 32
www.k12plus.net
6/29
Chapter 1 - Whole Numbers
Section I.
Whole Number System
Section II.
Addition & Subtraction of Whole Numbers
Section IV.
Multiplication of Whole Numbers
Section V.
Division of Whole Numbers
1
G-6 Whole Numbers Chapter 1 / Section I - Whole Number System
Whole Number System Whole numbers are the set of numbers that starts from 0 and increment by 1. ie. 0, 1, 2, 3, ... Odd numbers: 1, 3, 5, 7, ...
Natural numbers
Even numbers: 2, 4, 6, 8, ...
Whole numbers Zero, 0
A prime number is a natural number with exactly two different factors. 1
2
3
Examples
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21 ...
Complete the expression by adding an appropriate symbol (>, <, or =) in the box. 1 212
221
2 4,265
1 212 < 221
Solutions
4,255
2 4,265 > 4,255 ⇒ 4 2 6 5
⇐ 6
>5
4255 Exercise #1
Complete the expression by adding an appropriate symbol (>, <, or =) in the box. 1 12 3 119 5 32,559
Example
9
2 246 119
4 26,958
32,550
6 615,523
252 27,001 616,000
List numbers 112, 64, 59, 102, 69 in a descending order. Descending order is from greatest to least.
Solution
Thus, 112, 102, 69, 64, 59. Exercise #2
List each set of numbers in a descending order.
In ascending order, numbers are listed
1 99, 89, 102, 115, 95
2 145, 615, 725, 75, 612
from least to greatest.
Copyright © by K12 Plus Venture
www.k12plus.net
1/29
1
G-6 Whole Numbers Chapter 1 / Section I - Whole Number System
Place Value Place value is the value of a digit in a number.
Ones Period
Ten millions
Millions
Hundred thousands
Ten thousands
Thousands
Hundreds
Tens
Ones
ex. 5,300,271 ⇒ The 5 is in the millions place
Hundred millions
Thousands Period
Billions
Millions Period
Ten billions
Hundred billions
Billions Period
5
6
0
1
5
6
0
0
0
1
2
and its value is 5,000,000. Standard form: 250,098 Expanded form: 200,000 + 50,000 + 90 + 8 Word form: Two hundred fifty thousand, ninety-eight
ex. In word form, the number 56,015,600,012 reads "Fifty-six billion, fifteen million, six hundred thousand, twelve."
Example
Write the number in standard form: "Eighty billion, five hundred eleven million, two thousand, five hundred sixty-two" Thousands Period
Ones Period
⇒ Place value chart can be used for
Hundred millions
Ten millions
Millions
Hundred thousands
Ten thousands
Thousands
Hundreds
Tens
Ones
easier conversion.
Billions
Hundred billions Exercise #3
Millions Period
Ten billions
Billions Period
Solution
8
0
5
1
1
0
0
2
5
6
2
The number is 80,511,002,562.
Write the number in standard form. 1 Nineteen billion, six hundred seventy-five thousand, four hundred forty-eight 2 Four million, six hundred thirty-two thousand, eighty-two 3 Two hundred billion, five hundred thirty-one million, two hundred seventy-five
Copyright © by K12 Plus Venture
www.k12plus.net
2/29
Chapter 1 / Section I - Whole Number System
Write 4,210,620,559 in words.
Solution
Exercise #4
⇒ Four billion, two hundred ten million,
Hundred thousands
Ten thousands
Thousands
Hundreds
Tens
Ones
Ones Period
Millions
Thousands Period
Ten millions
Millions Period
Hundred millions
Hundred billions
Billions Period
Billions
Example
Ten billions
1
G-6 Whole Numbers
4
2
1
0
6
2
0
5
5
9
six hundred twenty thousand, five hundred fifty-nine
Write each number in words. 1 35,550 2 14,000,216 3 4,041,506,220
Examples
Complete.
Solutions
1 90 tens = _______ hundreds
2 6 millions = ________ thousands
1 90 tens = 9 hundreds
2 6 millions = 6,000 thousands
⇐ Count # of zeros between two place names.
Exercise #5
Complete.
Copyright © by K12 Plus Venture
1 7 hundreds = ________ tens
2 50 hundreds = ________ thousands
3 12 millions = ________ thousands
4 20 thousands = ________ hundreds
5 2 billions = ________ ten millions
6 15 tens = ________ ones
www.k12plus.net
3/29
1
G-6 Whole Numbers Chapter 1 / Section I - Whole Number System
Examples
Write the number in expanded form.
Solutions
1 3,559
2 224,069
1 3,559 = 3,000 + 500 + 50 + 9
2 224,069 = 200,000 + 20,000 + 4,000 + 60 + 9
Exercise #6
Write the number in expanded form.
Expanded form of a number shows the
1 1,586
2 3,509
3 16,885
4 25,690
5 6,120,010
6 70,805,602
place value of each digit.
Examples
Round each number to the underlined place.
Solutions
1 214,050
2 3,580,812,115
1 214,050 ≈ 210,000
2 3,580,812,115 ≈ 3,581,000,000
⇑
⇑
4 is less than 5. So, round down. Exercise #7
Exercise #8
8 is greater than 5. So, round up.
Round each number to the underlined place. 1 61,059
2 921,005
3 74,825,009
4 32,069,558
Round to the nearest ten thousand.
Copyright © by K12 Plus Venture
1 32,559
2 617,002
3 1,562,005
4 4,740,511
www.k12plus.net
4/29
1
G-6 Whole Numbers Chapter 1 / Section I - Whole Number System
Exercise #9
Solve. 1 Jessica has 11 more baseball cards than Eileen. Eileen has 6 more baseball cards than Emily. How many more baseball cards does Jessica have than Emily?
2 If "A" represents 28 and "B" represents 48, what number does the letter "C" represent? A
B
C
3 A whole number is rounded up to 6,400. The difference between the exact number and the rounded number is 50. What is the exact number?
4 Examine the number 520,913,620. Find the sum of the ten millions place digit and the hundred thousands place digit.
5 In the number 6,162,445,322, in what place is the 1?
6 What is 60,000,000 + 500,000 + 7,000 + 600 + 90 + 1 in standard form?
7 Four quarters equals the same value as $1. How many quarters equals the same value as $20?
Copyright © by K12 Plus Venture
www.k12plus.net
5/29
1
G-6 Whole Numbers Chapter 1 / Section I - Back To The Basics
Exercise #10
Exercise #11
Exercise #12
Add or subtract. 1 152 + 64
2 98 + 325
3 152 + 308
4 147 + 852
5 150 + 91 + 52
6 14 + 12 + 35
7 526 − 84
8 365 − 216
9 956 − 554
10 1256 − 475
Multiply. 1 46 × 4
2 112 × 9
3 65 × 70
4 124 × 8
5 68 × 11
6 150 × 24
7 87 × 60
8 56 × 45
Find the quotient and the remainder.
Copyright © by K12 Plus Venture
1 125 ÷ 8
2 224 ÷ 9
3 325 ÷ 12
4 405 ÷ 17
5 1,250 ÷ 6
6 426 ÷ 25
7 872 ÷ 41
8 640 ÷ 32
www.k12plus.net
6/29
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