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DAY 1
MATHEMATICS 4
TERM 1 WEEK 7
A. Directions: Write the symbols >, <, or
= on the space between the numbers to
compare their value.
R E V I E W
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P R E - L E S S O N
1. 210 000 _____ 230 000
2. 14 156 _____ 15 156
3. 175 333 _____ 175 333
4. 90 546 _____ 90 654
5. 293 102 _____ 293 120
R E V I E W
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P R E - L E S S O N
B. Can you solve the following?
1. 35, 231 + 24, 567 =
2. 46, 700 + 45, 234 =
3. 190, 222 + 78, 021 =
4. 89, 765 – 76, 001 =
5. 187, 123 – 87, 123 =
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P R E - L E S S O N
ESTIMATE THE SUM
AND DIFFERENCE
OF TWO 5- TO 6-DIGIT
NUMBERS
1. Identify the numbers: Let's say we
have 58,736 and 32,489.
ESTIMATING THE SUM
2. Round each number to the nearest
large place value: For large numbers,
this usually means rounding to the
nearest ten thousand or hundred
thousand.
ESTIMATING THE SUM
 58,736 rounds to 60,000 (nearest ten
thousand).
 32,489 rounds to 30,000 (nearest ten
thousand).
ESTIMATING THE SUM
3. Add the rounded numbers:
60,000 + 30,000 = 90,000.
ESTIMATING THE SUM
Example 1:
• Original numbers: 58,736 and 32,489.
• Rounded numbers: 60,000 and 30,000.
• Estimated sum: 60,000
+ 30,000
90,000.
ESTIMATING THE SUM
Example 2:
• Original numbers: 142,356 and 87,243.
• Rounded numbers: 140,000 and 90,000
(rounded to the nearest ten thousand).
• Estimated sum:
140,000 + 90,000 = 230,000.
ESTIMATING THE SUM
1. Identify the numbers: Let's use 58,736 and
32,489 again.
2. Round each number to the nearest large
place value:
o 58,736 rounds to 60,000.
o 32,489 rounds to 30,000.
ESTIMATING THE DIFFERENCE
3. Subtract the rounded numbers:
• 60,000 - 30,000 = 30,000.
ESTIMATING THE DIFFERENCE
Example 1:
• Original numbers: 58,736 and 32,489.
• Rounded numbers: 60,000 and 30,000.
• Estimated difference: 60,000 - 30,000 = 30,000.
ESTIMATING THE DIFFERENCE
Example 2:
• Original numbers: 142,356 and 87,243.
• Rounded numbers: 140,000 and 90,000 (rounded
to the nearest ten thousand).
• Estimated difference:
140,000 - 90,000 = 50,000.
ESTIMATING THE DIFFERENCE
Directions: Estimate the sum of the
following.
1. 45, 532 2. 78, 345
+ 26, 453 + 56, 453
A C T I V I T Y 1
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A S S E S S M E N T
3. 135, 123 4. 821, 776
+ 87, 214 + 243, 234
5. 895, 322
+ 345, 789
A C T I V I T Y 1
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A S S E S S M E N T
Directions: Estimate the sum of the
following.
1. 45, 532 2. 78, 345
- 26, 453 - 56, 453
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E X T E N D E D
3. 135, 123 4. 821, 776
- 87, 214 - 243, 234
5. 895, 322
- 345, 789
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E X T E N D E D
DAY 2
MATHEMATICS 4
TERM 1 WEEK 7
Directions: Estimate the sum of the following.
1. 58, 768
+ 56, 218
2. 88, 340
+ 67, 002
R E V I E W
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P R E - L E S S O N
3. 246, 978
+ 17, 189
4. 876, 543
+ 333, 444
R E V I E W
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P R E - L E S S O N
5. 888, 888
+ 222, 223
R E V I E W
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P R E - L E S S O N
Directions: Estimate the sum of the following.
1. 58, 768
- 56, 218
2. 88, 340
- 67, 002
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P R E - L E S S O N
3. 246, 978
+ 17, 189
4. 876, 543
+ 333, 444
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P R E - L E S S O N
5. 888, 888
+ 222, 223
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P R E - L E S S O N
ESTIMATE THE SUM
AND DIFFERENCE
OF TWO 5- TO 6-DIGIT
NUMBERS
1. Identify the numbers: Let's say we
have 58,736 and 32,489.
ESTIMATING THE SUM
2. Round each number to the nearest
large place value: For large numbers,
this usually means rounding to the
nearest ten thousand or hundred
thousand.
ESTIMATING THE SUM
 58,736 rounds to 60,000 (nearest ten
thousand).
 32,489 rounds to 30,000 (nearest ten
thousand).
ESTIMATING THE SUM
3. Add the rounded numbers:
60,000 + 30,000 = 90,000.
ESTIMATING THE SUM
Example 1:
• Original numbers: 58,736 and 32,489.
• Rounded numbers: 60,000 and 30,000.
• Estimated sum: 60,000
+ 30,000
90,000.
ESTIMATING THE SUM
Example 2:
• Original numbers: 142,356 and 87,243.
• Rounded numbers: 140,000 and 90,000
(rounded to the nearest ten thousand).
• Estimated sum:
140,000 + 90,000 = 230,000.
ESTIMATING THE SUM
1. Identify the numbers: Let's use 58,736 and
32,489 again.
2. Round each number to the nearest large
place value:
o 58,736 rounds to 60,000.
o 32,489 rounds to 30,000.
ESTIMATING THE DIFFERENCE
3. Subtract the rounded numbers:
• 60,000 - 30,000 = 30,000.
ESTIMATING THE DIFFERENCE
Example 1:
• Original numbers: 58,736 and 32,489.
• Rounded numbers: 60,000 and 30,000.
• Estimated difference: 60,000 - 30,000 = 30,000.
ESTIMATING THE DIFFERENCE
Example 2:
• Original numbers: 142,356 and 87,243.
• Rounded numbers: 140,000 and 90,000 (rounded
to the nearest ten thousand).
• Estimated difference:
140,000 - 90,000 = 50,000.
ESTIMATING THE DIFFERENCE
Directions: Estimate the total.
1) 45,783 + 67,234
2) 89,456 + 12,345
3) 123,456 + 78,910
4) 256,789 + 143,210
5) 97,854 + 32,765
A C T I V I T Y 2
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A S S E S S M E N T
Directions: Estimate the difference.
1) 89,543 - 56,789
2) 123,456 - 78,912
3) 234,567 - 123,456
4) 97,865 - 65,432
5) 345,678 - 234,567
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E X T E N D E D
DAY 3
MATHEMATICS 4
TERM 1 WEEK 7
Directions: Read the problem.
Mrs. Javier went to a grocery store. She
bought the items below. Estimate how
much change Mrs. Javier will receive if
she pays 100 000 bill for each.
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P R E - L E S S O N
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P R E - L E S S O N
ADDING AND
SUBTRACTING
NUMBERS UP
TO 1,000,000
1. Addition (Sums up to 1,000,000)
• Without Regrouping: This happens
when the sum of the digits in a specific
column is 9 or less. You simply write the
sum below the line.
R E V I E W
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D I S C U S S I O N
• With Regrouping (Carrying): When
the sum of a column is 10 or more, you
write the ones digit of that sum in the
answer space and "carry" the tens digit to
the next column on the left.
R E V I E W
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D I S C U S S I O N
2. Subtraction (Numbers less than
1,000,000)
• Without Regrouping: This happens
when the top digit (minuend) is larger than
or equal to the bottom digit (subtrahend) in
every column.
R E V I E W
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D I S C U S S I O N
With Regrouping (Borrowing): When
the top digit is smaller than the bottom
digit, you must "borrow" 1 from the
column to the left. This increases the
value of your current digit by 10.
R E V I E W
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D I S C U S S I O N
A. Directions: Find the sum for each item.
Some problems will require regrouping
(carrying), while others will not.
A C T I V I T Y 4
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A S S E S S M E N T
1. 523,140 + 264,728
2. 675,392 + 128,409
3. 412,005 + 387,994
4. 256,880 + 443,119
5. 834,567 + 165,432
A C T I V I T Y 4
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A S S E S S M E N T
B. Directions: Subtract the numbers below.
Watch out for problems that require
"borrowing" across multiple columns.
A C T I V I T Y 4
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A S S E S S M E N T
1. 895,672 - 453,210
2. 712,400 - 356,185
3. 999,999 - 123,456
4. 600,000 - 247,315
5. 543,210 - 231,000
A C T I V I T Y 4
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A S S E S S M E N T
Directions: Carefully solve each equation
by performing the indicated operation.
1. 642,850 + 235,149 =
2. 958,600 - 426,300 =
3. 517,392 + 382,608 =
4. 800,000 - 345,670 =
5. 456,712 + 123,288 =
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E X T E N D E D
DAY 4
MATHEMATICS 4
TERM 1 WEEK 7
Directions: Carefully solve each equation
by performing the indicated operation.
1. 875,400 - 324,100 =
2. 249,550 + 610,450 =
3. 900,000 - 567,825 =
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P R E - L E S S O N
4. 156,234 + 743,766 =
5. A farm harvested 680,500 kilos of
rice. They sold 425,300 kilos to a
local trader. How many kilos of rice
are left in the barn?
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P R E - L E S S O N
ADDING AND
SUBTRACTING
NUMBERS UP
TO 1,000,000
1. Addition (Sums up to 1,000,000)
• Without Regrouping: This happens
when the sum of the digits in a specific
column is 9 or less. You simply write the
sum below the line.
R E V I E W
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D I S C U S S I O N
• With Regrouping (Carrying): When
the sum of a column is 10 or more, you
write the ones digit of that sum in the
answer space and "carry" the tens digit to
the next column on the left.
R E V I E W
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D I S C U S S I O N
2. Subtraction (Numbers less than
1,000,000)
• Without Regrouping: This happens
when the top digit (minuend) is larger than
or equal to the bottom digit (subtrahend) in
every column.
R E V I E W
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D I S C U S S I O N
With Regrouping (Borrowing): When
the top digit is smaller than the bottom
digit, you must "borrow" 1 from the
column to the left. This increases the
value of your current digit by 10.
R E V I E W
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D I S C U S S I O N
Directions: Solve each problem and
determine if the provided answer is True
or False. If it is false, provide the correct
sum or difference.
A C T I V I T Y 4
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A S S E S S M E N T
1. 450,000 + 150,000 = 600,000 (______)
2. 800,000 - 250,000 = 650,000 (______)
3. 312,450 + 212,450 = 524,900 (______)
4. 920,000 - 120,000 = 800,000(______)
5. 560,700 + 439,300 = 1,000,000 (______)
A C T I V I T Y 4
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A S S E S S M E N T
Directions: Read each item closely.
Solve the addition and subtraction
problems. For items involving word
problems, write the mathematical
sentence first before solving.
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E X T E N D E D
1. Find the sum: 724,150 + 185,950
2. Find the difference:
672,405 - 281,560
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E X T E N D E D
3. A donation drive collected 412,300
pesos in the morning and 387,700
pesos in the afternoon. How much
was the total collection?
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E X T E N D E D
4. A bookstore has 950,000 pages
of bond paper. If they used 562,400
pages for printing modules, how many
pages are left?
5. Challenge: 1,000,000 - 450,500
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E X T E N D E D