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NAME: ______________________________________ FIRST QUARTER GRADE 3 - Cantor Mathematics DATE: _________________ I. OBJECTIVES Students will be able to: Identify the place value of hundred thousand. Differentiate the two numbers. Identify the ordinal numbers from 1st to 100th. Identify the pattern of each number. Add 3 to 4 digit numbers from 3 to 4 digit numbers. Subtract 3 to 4 digit numbers from 3 to 4 digit numbers. II. CONTENT PAGE Lesson 1.1 Numbers through Hundred Thousand 2 Lesson 1.2 Comparing and Ordering Of Numbers 4 Lesson 1.3 Rounding Whole Numbers 6 Lesson 1.4 Ordinal Numbers Up To 100th^ Object 8 Lesson 1.5 Number Patterns 11 Lesson 2.1 Properties of Addition 13 Lesson 2.2 Addition of Whole Numbers 15 Lesson 2.3 Subtraction of Whole Number 17 III. REFERENCE Vibal/ our world of math 3 https://www.onlinemathlearning.com https://www.mathsisfun.com https://byjus.com
Lesson 1.
NUMBERS THROUGH HUNDRED THOUSAND
You have learned how to find the value of a digit in a 5-digit number. You can use a pattern to find the value of a digit in any number. Look at the patterns in the table. Ones 1 Tens 10 ones = 10 Hundreds 10 tens = 100 Thousands 10 hundreds = 1, Ten thousands 10 thousands = 10, Hundred Thousands 10 ten thousands = 100, Example Find the value of each digit in the numbers 17 843 and 315 627. a. 17, TEN THOUSANDS THOUSANDS HUNDREDS TENS ONES 1 7 8 4 3 The digit 1 has a value of 10 000. The digit 7 has a value of 7000. The digit 8 has a value of 800. The digit 4 has a value of 40. The digit 3 has a value of 3. Expanded form: 10 000+7 000+800+40+ Word form: seventeen thousand eight hundred forty-three. b. 315, HUNDRED THOUSANDS TEN THOUSANDS THOUSANDS HUNDREDS TENS ONES 3 1 5 6 2 7 The digit 3 has a value of 300 000. The digit 1 has a value of 10 000. The digit 5 has a value of 5000. The digit 6 has a value of 600.
Lesson 1.
COMPARING AND ORDERING OF NUMBERS
How to Compare Two Numbers? When we compare two numbers, there are three possibilities: The first number is greater than the second (4 > 2). The second number is greater than the first (2 < 3) The two numbers are equal (6 = 6) Symbol Read as Meaning Example
“is greater than” The number on the left side of the symbol is greater than number on the right side of the symbol.
“is less than” The number on the left side of the symbol is less than the number on the right side of the symbol.
“is equal to” The number on the left side of the symbol is equal to the number on the right side of the symbol.
Example
- Which number is smaller, 246 738 or 246 951? Line up the digits.
Compare the digits starting from the left. Find the first place that they differ. In this example, the digits in the hundreds place are not the same. 7 is smaller than 9. So, 246 738 is smaller than 246 951.
- Arrange the following numbers in increasing order 425 876, 425 987, 425 856 Line up the numbers vertically Compare the digits starting from the left. Arranging the numbers in increasing order, we get 1 st = 425 856, 2 nd = 425 876, 3 rd = 425 987 Activity A. Compare the following numbers using the symbols >, <, or =. Write your answer on the space provided.
- 5543_________
- 7567_________
- 45 978_________45 978
- 38 808_________28 808
- 65 098_________55 089 B. Write 1 to 5 to correct the order from least to greatest.
- 22 714 37 278 73 828 72 719 47283
- 62 719 26 380 56 274 82 671 18 721
Why do 5 go up? 5 are in the middle ... so we could go up or down. But we need a method that everyone agrees to. 0,1,2,3 and 4 are "down" 5,6,7,8 and 9 are "up" Example Round the following numbers to the nearest places. Check the next number if it is smaller or bigger than 5
- add 1 if it is bigger than 5 and the rest will become zero.
- make it zero if it is smaller than 5 and the rest will become zero. HUNDRED THOUSANDS TEN THOUSANDS THOUSANDS HUNDREDS TENS ONES 3 8 4 6 9 2
- 384 692 Hundred thousands: 38 4 692 = 400 000 Ten thousands: 384 692 = 380 000 Thousands: 384 6 92 = 385 000 Hundreds: 384 6 9 2 = 384 7 00 Tens: 384 69 2 = 384 69 0 Activity Complete the table below NUMBER
THOUSANDS
PLACE
HUNDREDS
PLACE
TENS PLACE
The list of ordinal numbers from 51 to 100 is given below: Ordinal Numbers 51 to 100 51st: Fifty-First 61th: Sixty-First 71st: Seventy-First 81st: Eighty-First 91st: Ninety-First 52nd: Fifty-Second 62nd: Sixty-Second 72nd: Seventy-Second 82nd: Eighty-Second 92nd: Ninety-Second 53rd: Fifty-Third 63rd: Sixty-Third 73rd: Seventy-Third 83rd: Eighty-Third 93rd: Ninety-Third 54th: Fifty-Fourth 64th: Sixty-Fourth 74th: Seventy-Fourth 84th: Eighty-Fourth 94th: Ninety-Fourth 55th: Fifty-Fifth 65th: Sixty-Fifth 75th: Seventy-Fifth 85th: Eighty-Fifth 95th: Ninety-Fifth 56th: Fifty-Sixth 66th: Sixty-Sixth 76th: Seventy-Sixth 86th: Eighty-Sixth 96th: Ninety-Sixth 57th: Fifty-Seventh 67th: Sixty-Seventh 77th: Seventy-Seventh 87th: Eighty-Seventh 97th: Ninety-Seventh 58th: Fifty-Eighth 68th: Sixty-Eighth 78th: Seventy-Eighth 88th: Eighty-Eighth 98th: Ninety-Eighth 59th: Fifty-Ninth 69th: Sixty-Ninth 79th: Seventy-Ninth 89th: Eighty-Ninth 99th: Ninety-Ninth 60th: Sixtieth 70th: Seventieth 80th: Eightieth 90th: Ninetieth 100th: Hundredth To identify the symbols of the ordinal numbers after the thirteenth ( th ) place, we follow these simple rules:
- If the last digit is 0 or any number from 4 to 9, we write “th” after the last digit. Example a. 14 th -read as “fourteenth” b. 30 th -read as “thirtieth”
- If the last digit is 1, we write “st” after the last digit. Example a. 21 st -read as “twenty-first” b. 51 st -read as “fifty-first”
- If the last digit is 2, we write “nd” after the last digit. Example a. 22 nd -read as “twenty-second” b. 42 nd -read as “forty-second”
- If the last digit is 3, we write “rd” after the last digit.
Example a. 23 rd -read as “twenty-third” b. 43 rd -read as “forty-third”
- Special case 11 to 13, we write “th” after the last digit. Example a. 11 th -read as “eleventh” b. 12 th -read as “twelfth” c. 13 th -read as “thirteenth” Activity A. Write the following ordinal numbers in words.
- 37 th =________________
- 78 th =________________
- 19 th =________________
- 56 th =________________
- 53 rd =________________ B. Use digits to write the ordinal number that is written in words.
- Twenty-third=________________
- Sixty-ninth=________________
- Forty-eighth=________________
- Seventy-first=________________
- Fifty-second=________________
Activity Make a number pattern for each of the rules.
- Start at 63 and subtract 4 each time. ______, ______, ______, ______, ______
- Start at 17 and add 8 each time. ______, ______, ______, ______, ______
- Start at 50 and subtract 5 each time. ______, ______, ______, ______, ______
- Start at 65 and subtract 6 each time. ______, ______, ______, ______, ______
- Start at 9 and add 6 each time. ______, ______, ______, ______, ______
Activity Identify the property that is being illustrated in each addition equation.
- 23+28=28+
- 91+0=
- (21+12)+14=21+(12+14)
- 0+68=
- 17+31+19=19+31+
- 20+18+0=20+
- (41+30)+(10+8)=41+(30+10)+
- 20+50+25+16=50+20+16+
- 36+0+78=36+
- 52+(80+13)=(52+80)+
Lesson 2.
ADDITION OF WHOLE NUMBERS
In adding numbers up to thousands. If the sum of the digits of the addends is less than 10, we can add the numbers without grouping. To get the sum of the numbers with regrouping, first, add the ones and regroup to tens if the sum is 10 or greater, then add the tens and regroup to hundreds if the sum is 100 or greater, then add the hundreds and regroup to thousands if the sum is 1000 or greater. Example Find 1389+2489. Method 1: we can use place values to find the sum of 1389 and2489. Thousands Hundreds Tens Ones 1000 300 80 9 2000 400 80 9 3000 700 160 18 Then add the sums of all the places. Therefore, 1389+2489= Method 2: another way Regroup 16 tens and 18 ones. 16 tens = 1 hundred + 18 ones = 1 ten + 8 ones So, 3 thousands + 7 hundreds + 1 hundred + 6 tens + 1 tens + 8 ones = 3 thousands + 8 hundreds + 7 tens + 8 ones = 3878 Therefore, 1389 + 2489 = 3878
Lesson 2.
SUBTRACTION OF WHOLE NUMBER
For this lesson, you will focus in subtracting the whole numbers with or without regrouping. Example: 9 875 – 8 641 =? Study carefully the table below. Take note of how the answer is obtained. Remember that the process of obtaining the answer is as important as the answer itself.
- Subtract the ones. 2. Subtract the tens. 3. Subtract the hundreds. 4. Subtract the thousands. 9 875
Checking: In checking, try to add the difference and the subtrahend. If the sum will be the minuend, then your difference is correct. See example below. The minuend is 9 875 while the number to be subtracted or the subtrahend is 8 641.The answer is the difference. The difference between 9 875 and 8 641 is 1 234. The table above shows a systematic way of answering the equation. You indicate what you want to find, and what you need to do. You used subtraction in order to find the difference of the whole numbers. Observe how the minuends and the subtrahends are properly aligned so that all the ones, tens, hundreds, and thousands digits are written in their respective columns. The subtraction process in our previous example is a case in which each digit of the subtrahend is less than to its corresponding digit in the minuend. Such process is called subtracting numbers without regrouping.
In the next example, we will show a case where the digits of the subtrahend are greater than their corresponding digits in the minuend. Cases like this will undergo subtracting numbers with regrouping. Example: 9 547 – 658 =? The method above tells you how to subtract numbers with regrouping. The minuend is 9 547 and the subtrahend or the number to be subtracted is
- The difference is 8 889. In summary, when subtracting numbers, follow these simple steps: Step 1. Align the digits properly by writing all the ones, tens, hundreds, and thousands in their respective columns. Step 2. Start subtracting from the rightmost place to the leftmost place. Step 3. Regroup whenever the digit in the subtrahend is greater than the digit in the minuend. Activity Find each difference.
- 3868 − 2227
- 5643 − 1973
- 4634 − 3020
− 2465
- 5017 − 1523
