1 NUMBERS BEYOND 9999 Let’s recall ... 10 ones = 1 ten 10 tens = 1 hundred 10 hundreds = 1 thousand Adding 1 to the largest 1-digit number gives the smallest 2-digit number. 9 + 1 = 10 Adding 1 to the largest 2-digit number gives the smallest 3-digit number. 99 + 1 = 100 Adding 1 to the largest 3-digit number gives the smallest 4-digit number. 999 + 1 = 1000 1. Write the following numbers in expanded form. Also write their number names. (a) 2809 = + + + = ___________________________________ (b) 6174 = + + + = ___________________________________ (c) 9875 = + + + = ___________________________________ 2. Circle the largest number. (a) 4268 4175 4628 4186 (b) 379 397 387 378 3. Write the predecessor and successor of the given numbers. (a) 6280 (b) 2010 (c) 9979 (d) 8349 4. Complete the series. (a) 3245; 3250; ________; ________; 3265; ________ (b) 1060; 1070; ________; 1090; ________; ________ (c) 8686; 8688; ________; ________; ________; 8696 5. Using the digits 4, 8, 0 and 7, form the largest and the smallest 4-digit numbers. 6. Put the correct sign ’>’ or ‘<’. 4863 (a) 4683 (c) 9819 9189 (b) 3107 3007 (d) 8876 8786 Let’s learn further ... The largest 4-digit number is 9999. 9999 + 1 = 10000 which is the smallest 5-digit number. Also, 10000 = 10 thousands = 1 ten thousand 9 3 4 2 5 7 8 The largest 5-digit number is 99999. 1 99999 + 1 = 100000 which is the smallest 6-digit number. Remember Also, 100000 = 10 ten thousands = 1 lakh, and so on. Numbers and Number Names Let’s learn to write 5-digit and 6-digit numbers. Consider a 5-digit number 36875. Ten thousands Thousands Hundreds Tens Ones TTh Th H T 0 3 6 8 7 5 Since this number has five digits, we need five rods to represent it on the abacus. Now consider a 6-digit number 219463. Lakhs Ten Thousands Hundreds thousands Tens Ones L TTh Th H T 0 2 1 9 4 6 3 Since this number has six digits, we need six rods to represent it on the abacus. L 2 TTh Th 3 6 H 8 T 7 O 5 TTh Th 1 9 H 4 T 6 O 3 To read large numbers easily, we divide them into groups. Each group is called a period. Follow these steps to group numbers. Let’s consider the number 8137546. 1. Start from extreme right and make a group of three digits. 8137546 This is the first group. It consists of ones, tens and hundreds and is called the Ones Period. 2. The second group consists of the next two digits, i.e., thousands and ten thousands. It is called the Thousands Period. 8137 546 3. The third group consists of the next two digits, i.e., lakhs and ten lakhs. It is called the Lakhs Period. 81 37 546 Thus, 8137546 is read as eighty-one lakh thirty-seven thousand five hundred forty-six. The digits in the same period are read together. 2 To separate the periods, we put a comma between them. Example 1: Periods → Numbers Group and read these numbers by separating them using commas. LAKHS (L) THOUSANDS (Th) ONES (O) Ten Lakhs Lakhs Ten Thousands Thousands Hundreds Tens Ones (TL) (L) (TTh) (Th) (H) (T) (O) 8 2 6 7 5 82675 398104 3 9 8 1 0 4 540327 5 4 0 3 2 7 7 2 5 9 4 5 1725945 Solution: 1 82675 → 82,675 It is read as eighty-two thousand six hundred seventy-five. 398104 → 3,98,104 It is read as three lakh ninety-eight thousand one hundred four. 540327 → 5,40,327 It is read as five lakh forty thousand three hundred twentyseven. 1725945 → 17,25,945 It is read as seventeen lakh twenty-five thousand nine hundred forty-five. Place Value and Face Value We already know that the face value of a digit is the value of the digit itself in a number, while the place value of a digit depends on its place or position in a number. The place value of any digit in a large number can be determined by writing the number as shown in the table below. Periods → Place Value → LAKHS (L) Ten Lakhs Lakhs (TL) (L) 10,00,000 1,00,000 19,42,768 1 Ones (TTh) 10,000 (Th) 1,000 (H) 100 (T) 10 (O) 1 6 5 3 1 4 2 8 9 0 5 3 9 4 2 7 6 8 65,314 2,89,053 THOUSANDS (Th) ONES (O) Ten Thousands Hundreds Tens Thousands Consider the number 2,89,053. Let’s determine the place value of its digits. The place value of 2 is 2 lakhs, i.e., 2,00,000. The place value of 8 is 8 ten thousands, i.e., 80,000. The place value of 9 is 9 thousands, i.e., 9,000. The place value of 0 is 0 hundreds, i.e., 0. 3 The place value of 5 is 5 tens, i.e., 50. The place value of 3 is 3 ones, i.e., 3. Relations between the Value of the Places There is a relation between the values of each place in a number with the other places. Let’s know more about it. 10 = 10 × 1 = 10 ones 100 = 10 × 10 = 10 tens = 100 × 1 = 100 ones 1,000 = 10 × 100 = 10 hundreds = 100 × 10 = 100 tens Try these! 100 = ______ tens = 1,000 × 1 = 1,000 ones 10,000 = ______ hundreds 10,000 = 10 × 1,000 = 10 thousands ______ = 10,000 tens = 100 × 100 = 100 hundreds ______ = 100 hundreds = 1,000 × 10 = 1,000 tens ______ = 1,000 ones 10,00,000 = ______ thousands = 10,000 × 1 = 10,000 ones 1,00,000 = 10 × 10,000 = 10 ten thousands = 100 × 1,000 = 100 thousands = 1,000 × 100 = 1,000 hundreds = 10,000 × 10 = 10,000 tens = 1,00,000 × 1 = 1,00,000 ones 10,00,000 = 10 × 1,00,000 = 10 lakhs = 100 × 10,000 = 100 ten thousands = 1,000 × 1,000 = 1,000 thousands = 10,000 × 100 = 10,000 hundreds = 1,00,000 × 10 = 1,00,000 tens = 10,00,000 × 1 = 10,00,000 ones International Number System The system of writing numbers we have learnt is called the Indian Number System. It is used only in India. It can further be extended to crores and ten crores. There is another number system called the International Number System which is used all over the world. The table below shows the place value and the periods in the International Number System. Periods MILLIONS (M) → Place Value → 4 THOUSANDS (Th) ONES (O) Hundred Millions Ten Millions Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Ones (HM) (TM) (M) (HTh) (TTh) (Th) (H) (T) (O) Let’s now learn to write numbers and their number names in the International Number System. Periods MILLIONS (M) → Place Value → THOUSANDS (Th) Hundred Millions Ten Millions Millions Hundred Thousands (HM) (TM) (M) (HTh) 100,000,000 10,000,000 1,000,000 100,000 2864317 2 Ten Thousands Hundreds Tens Ones Thousands (H) (T) (O) (TTh) (Th) 10,000 1,000 100 10 1 4 3 8 2 5 6 1 9 8 0 7 8 6 4 3 1 7 43825 619807 ONES (O) To read large numbers easily as per the International Number System, we group them into three periods. Let’s consider the number 8137546. 1. Start from the extreme right and make a group of three digits. This is the first group. It consists of ones, tens and hundreds and is called the Ones Period. 8137 546 2. The second group consists of the next three digits, i.e., thousands, ten thousands and hundred thousands. It is called the Thousands Period. 8 137 546 3. The third group consists of the next three digits, i.e., millions, ten millions and hundred millions. It is called the Millions Period. 8 137 546 Thus, 8137546 is read as eight million one hundred thirty-seven thousand five hundred fortysix. Let’s group and read the numbers given in the table by separating them using commas. 43825 → 43,825 It is read as forty-three thousand eight hundred twenty-five. 619807 → 619,807 It is read as six hundred nineteen thousand eight hundred seven. 2864317 → 2,864,317 It is read as two million eight hundred sixty-four thousand three hundred seventeen. Let’s determine the place value of the digits of the number 2,864,317. The place value of 2 is 2 millions, i.e., 2,000,000. The place value of 8 is 800 thousands, i.e., 800,000. The place value of 6 is 60 thousands, i.e., 60,000. The place value of 4 is 4 thousands, i.e., 4,000. MATH CITY 137 km The place value of 3 is 3 hundreds, i.e., 300. The place value of 1 is 1 ten, i.e., 10. The place value of 7 is 7 ones, i.e., 7. 5 Comparing Indian and International Number System Periods → CRORES (C) LAKHS (L) Ten Crores Crores 10,00,00,000 1,00,00,000 Place Value → Periods → Ten Lakhs 10,00,000 Hundred Millions Ten Millions Ten Thousands Thousands Hundreds 1,00,000 10,000 1,000 100 THOUSANDS (Th) Millions 100,000,000 10,000,000 1,000,000 100,000 543296 7 Numbers 10 1 ONES (O) Ones 10,000 1,000 100 10 1 9 2 1 6 8 5 4 3 2 9 6 8 3 4 2 6 5 Indian Number System International Number System (a) 92168 92,168 Ninety-two thousand one hundred sixty-eight 92,168 Ninety-two thousand one hundred sixty-eight (b) 543296 5,43,296 Five lakh forty-three thousand two hundred ninety-six 543,296 Five hundred forty-three thousand two hundred ninety-six (c) 7834265 78,34,265 Seventy-eight lakh thirty-four thousand two hundred sixty-five 7,834,265 Seven million eight hundred thirtyfour thousand two hundred sixty-five EXERCISE 1.1 1. Represent the following numbers on the abacus. (a) (b) L TTh Th H 63,842 6 Tens Ones Hundred Ten Thousands Hundreds Tens Thousands Thousands 92168 7834265 ONES (O) Lakhs MILLIONS (M) Place Value → THOUSANDS (Th) T O L TTh Th H 9,01,675 T O 2. Write the number represented by the abacus. (b) (a) L TTh Th H T O L TTh Th H T O 3. Write the number names in the Indian Number System. (a) 14,269 (b) 2,34,075 (c) 29,708 (d) 4,81,167 4. Write the number names in the International Number System. (a) 27,430 (b) 916,752 (c) 35,089 (d) 5,731,684 5. Write the place value of 5 in the following numbers. (a) 6,53,127 (b) 95,072 (c) 590,783 (d) 5,821,074 6. Group the numbers by putting commas as per the Indian Number System and write their number names. (a) 97638 (b) 121375 (c) 4068179 (d) 534912 (e) 76209 (f ) 6398705 (g) 8905678 (h) 2351645 7. Group the numbers by putting commas as per the International Number System and write their number names. (a) 23427 (b) 998916 (c) 820756 (d) 9087501 (e) 50249 (f ) 543486 (g) 4819675 (h) 645678 8. Write numerals for the following number names. (a) Two million thirty-seven thousand five hundred twenty-six (b) Fifty-four lakh seventy-five thousand six hundred eighty-nine (c) Twenty-two crore eight lakh nine hundred sixteen (d) Seventy-eight lakh thirty-three thousand sixty-eight (e) Nine million twenty-eight _____________ _____________ _____________ _____________ _____________ 9. Fill in the blanks. (a) In the Indian Number System, the place which is just to the left of thousands place is ________________. (b) 10,000 can also be written as ________________ hundreds. (c) Six million two hundred five thousand ninety-eight in numeral is written as ________________. (d) The place value of 6 in 2,86,304 is ________________. (e) 1,00,000 can also be written as ________________ thousands. 7 Standard Form and Expanded Form Writing a number in its original form is called standard form of the number. Writing a number as the sum of the place values of its digits is called the expanded form of that number. You have already learnt in your previous class about the expanded form of a 4-digit number. Now we will learn to write 5-digit and 6-digit numbers in the expanded form. Example 2: Solution: Write 63,872 and 4,90,518 in the expanded form. Standard form Expanded form Expanded form in words 63,872 = 60,000 + 3,000 + 800 + 70 + 2 = 6 ten thousands + 3 thousands + 8 hundreds + 7 tens + 2 ones 4,90,518 = 4,00,000 + 90,000 + 0 + 500 + 10 + 8 = 4 lakhs + 9 ten thousands + 5 hundreds + 1 ten + 8 ones Comparison of Numbers You already know how to compare numbers upto four digits. Let’s now learn how to compare numbers with five or six digits. Comparison of numbers with different number of digits If two numbers have different number of digits, the number with more digits is greater. Consider the numbers 1,34,791 and 8,264. The number of digits in 1,34,791 = 6 and in 8,264 = 4 Since 6 > 4, therefore, 1,34,791 > 8,264. Comparison of numbers with the same number of digits 1. Compare the face values of the leftmost digits, i.e., the digits at the lakhs place. L TTh Th H T O 7 9 2 8 4 3 8 0 7 6 4 2 8>7 So, 8,07,642 > 7,92,843. 8 To compare numbers having the same number of digits, always start from the leftmost digit. 2. If the face values of the digits at the lakhs place are same, then compare the face values of the digits at the ten thousands place. Same L TTh Th H T O 7 9 2 8 4 3 7 6 3 2 1 4 9>6 So, 7,92,843 > 7,63,214. 3. If the face values of the digits at the lakhs and ten thousands place are same, then compare the face values of the digits at the thousands place. L TTh Th H T O 7 9 2 8 4 3 7 9 3 2 1 4 Same 3>2 So, 7,93,214 > 7,92,843. 4. If the face values of the digits at the lakhs, ten thousands and thousands place are same, then compare the face values of the digits at the hundreds place. L TTh Th H T O 7 9 2 8 4 3 7 9 2 3 1 5 Same 8>3 So, 7,92,843 > 7,92,315. Similarly, we can compare the face values of the digits at the tens and ones place to know which number is greater. Before, After and Between A number one less than a given number comes just before it and is called its predecessor. A number one more than a given number comes just after it and is called its successor. Consider a 5-digit number 16,832. Its predecessor = 16,832 – 1 = 16,831 and its successor = 16,832 + 1 = 16,833. 16,831 ↓ predecessor 16,832 ↓ is between 16,831 and 16,833 16,833 ↓ successor 9 Ordering of Numbers Numbers can be arranged either in ascending order (smaller to bigger) or descending order (bigger to smaller). • 28,963; 28,972; 29,531; 29,537 are in ascending order. • 78,421; 78,375; 76,240; 75,189 are in descending order. EXERCISE 1.2 1. Write in the expanded form. (a) 71,428 (b) 63,907 (c) 89,991 (d) 40,052 (e) 3,92,145 (f ) 9,06,784 (g) 6,59,122 (h) 5,84,096 2. Write in the standard form. (a) 8,00,000 + 70,000 + 3,000 + 400 + 80 + 2 (b) 8,00,000 + 10,000 + 900 + 50 + 4 (c) 5 lakhs + 3 thousands + 9 hundreds + 4 ones (d) 4 TTh + 4 Th + 2 T + 6 O (e) 9,000,000 + 600,000 + 50,000 + 7,000 + 200 + 10 + 3 3. Put the correct sign >, < or =. (a) 5,681 (d) 9,00,375 5,816 9,00,375 (b) 69,410 69,342 (e) 907,632 815,426 (c) 42,215 43,402 (f ) 3,92,085 4. Arrange in ascending order. (a) 4,281; 3,971; 4,183; 2,697; 3,824 (b) 9,984; 10,426; 7,480; 11,397; 10,269 (c) 84,631; 83,462; 85,316; 83,625; 94,940 (d) 3,20,284; 3,19,706; 3,42,053; 3,39,513; 3,07,654 (e) 6,125,041; 6,215,104; 5,031,325; 4,106,219; 718,045 5. Arrange in descending order. (a) 7,063; 7,128; 8,375; 8,503; 7,219 (b) 18,234; 17,945; 17,946; 18,432; 18,963 (c) 2,23,705; 2,32,817; 2,40,098; 2,54,419; 2,17,390 (d) 9,08,743; 9,14,827; 8,23,999; 9,99,872; 8,13,948 (e) 8,132,415; 8,132,306; 9,015,246; 9,510,163; 8,312,415 6. Write the predecessor and successor of the following numbers. (a) 8,679 (b) 23,080 (c) 45,199 (d) 4,98,998 10 (e) 5,00,899 3,93,805 7. Fill in the blanks. (a) The number that is between 8,999 and 9,001 is ___________. (b) The predecessor of 6,89,490 is __________. (c) The successor of 82,769 is ____________. (d) Writing a number as the sum of the place values of its digits is called the _________ form of that number. Hots 8. Complete the series. Form the smallest 5-digit (a) 1,635; 1,636; 1,637; _________; _________; _________ number using the digits (b) 25,044; 25,046; 25,048; _________; _________; ________ 0, 0, 1, 6 and 4. (c) 3,72,150; 3,72,160; 3,72,170; _________; _________; _________ (d) 8,95,720; 8,95,725; 8,95,730; _________; _________; _________ (e) 4,42,141; 5,42,141; 6,42,141; _________; _________; _________ Juggling with Numbers By interchanging the position of the digits in a given number, many new numbers can be formed. Look at the number 68,715. This number is made up of five digits namely, 6, 8, 7, 1 and 5. By arranging these digits in different positions, many numbers can be formed. 68,751; 68,175; 68,157; 67,851; 67,158; 67,518 and so on. The smallest 5-digit number that can be formed using these digits is 15,678 and the greatest 5-digit number that can be formed is 87,651. To form the greatest number using the given digits, arrange them in descending order. To form the smallest number using the given digits, arrange them in ascending order. Example 3: Write the smallest and the greatest 5-digit numbers that can be formed using the digits 2, 0, 8, 6 and 4. Solution: The smallest 5-digit number that can be formed using the digits 2, 0, 8, 6 and 4 is 20,468 and the greatest 5-digit number that can be formed is 86,420. Note: The smallest 5-digit number cannot be 02468 as 0 at the beginning of a number has no value. Example 4: Write the smallest and the greatest 6-digit number that can be formed using the digits 9, 3, 4, 3, 7 and 5. Solution: The smallest 6-digit number that can be formed using the digits, 9, 3, 4, 3, 7 and 5 is 3,34,579 and the greatest 6-digit number that can be formed is 9,75,433. 11 Rounding Off Numbers When we are not sure of the exact number, we use the word about. It gives a rough estimation of the number. We can also say that the number has been rounded off. Rounding off to the nearest 10 To round off a number to the nearest 10, look at the digit in the ones place. • If it is 4 or less, then replace it with 0 without changing the digit in the tens place. • If it is 5 or more, then place a 0 in the ones place and add 1 to the digit in the tens place. Example 5: Round off (a) 154, (b) 2,356 and (c) 30,795 to the nearest 10. Solution: (a) 154 is rounded off to 150 since the digit in the ones place is 4. (b) 2,356 is rounded off to 2,360 since the digit in the ones place is 6. (c) 30,795 is rounded off to 30,800 since the digit in the ones place is 5. Rounding off to the nearest 100 To round off numbers to the nearest 100, look at the digits in the tens and ones place. • If the number formed is 50 or more, then place zeroes in the tens and ones place and add 1 to the digit in the hundreds place. • If the number formed is less than 50, then replace the digits in the tens and ones place with zeroes. The digit in the hundreds place will not change. Example 6: Round off (a) 826, (b) 4,768 and (c) 2,80,934 to the nearest 100. Solution: (a) 826 is rounded off to 800 since 26 is less than 50. (b) 4,768 is rounded off to 4,800 since 68 is more than 50. (c) 2,80,934 is rounded off to 2,80,900 since 34 is less than 50. Rounding off to the nearest 1,000 To round off numbers to the nearest 1,000, look at the digits in the hundreds, tens and ones place. • If the number formed is 500 or more, then place zeroes in the hundreds, tens and ones place and add 1 to the digit in the thousands place. • If the number formed is less than 500, then replace the digit in the hundreds, tens and ones place with zeroes. The digit in the thousands place will not change. Example 7: Round off (a) 6,578 and (b) 24,352 to the nearest 1,000. Solution: (a) 6,578 is rounded off to 7,000 since 578 is more than 500. (b) 24,352 is rounded off to 24,000 since 352 is less than 500. 12 EXERCISE 1.3 1. Write the smallest and the greatest 5-digit numbers that can be formed using the given digits. (a) 7, 4, 3, 1, 8 (b) 5, 0, 2, 8, 3 (c) 9, 1, 6, 2, 0 (d) 8, 0, 7, 0, 4 2. Write the smallest and the greatest 6-digit numbers that can be formed using the given digits. (a) 2, 3, 7, 8, 5, 1 (b) 6, 0, 9, 3, 0, 4 (c) 8, 2, 1, 3, 2, 5 (d) 9, 4, 6, 5, 0, 9 3. Round off the given numbers to the nearest 10. (a) 547 (b) 6,912 (c) 43,785 (d) 1,90,273 4. Round off the given numbers to the nearest 100. (a) 496 (b) 7,319 (c) 75,849 (d) 4,46,755 5. Round off the given numbers to the nearest 1,000. (a) 7,435 (b) 12,752 (c) 4,75,926 (d) 8,99,128 LET’S EVALUATE 1. Represent the following numbers on the abacus. (a) (b) TTh Th H T O L 54,208 TTh Th H T O 8,42,739 2. Write the number names in the Indian and International Number System. (a) 6475 (b) 92087 (c) 549306 (d) 1274583 3. Write in the expanded form. (a) 8,347 (b) 15,209 (c) 7,53,621 (d) 37,35,438 4. Write the smallest and the greatest 6-digit numbers that can be formed using the digits 8, 4, 0, 7, 5, 2. Use each digit only once. 5. Arrange in ascending order. (a) 32,491; 31,491; 38,149; 32,149; 31,941 (b) 9,82,467; 9,82,476; 8,93,756; 8,99,324; 9,92,946 6. Arrange in descending order. (a) 66,075; 69,328; 69,915; 66,208; 67,143 (b) 10,081; 10,180; 10,089; 10,918; 10,810 13 7. Arjun wants to treat his friends on his birthday. Using the given information, estimate the total amount he needs for the treat. • • • • • 4 packets of chips costing ` 78 (rounded off to the nearest 10) 6 samosas costing ` 62 (rounded off to the nearest 10) 4 pizzas costing ` 1,549 (rounded off to the nearest 1,000) 5 plates of momos costing ` 135 (rounded off to the nearest 100) 3 cartons of juice costing ` 178 (rounded off to the nearest 100) 8. Write True or False. (a) The successor of 2,86,789 is 2,86,788. (b) The smallest 6-digit number is 1,00,000. (c) 82,354 rounded off to the nearest hundred is 92,400. (d) Number of tens in ten thousand is 100. (e) The place value of 4 in 4,826,139 is four millions. 9. Choose the correct answer. (a) 50,000 + 700 + 80 + 4 in standard form is: (i) 50,784 (ii) 57,084 (iii) 57,804 (b) The predecessor of 1,20,980 is: (i) 1,20,981 (ii) 1,20,990 (iii) 1,20,979 (c) The place value of 5 in 15,68,324 is: (i) 50,000 (ii) 5,00,000 (iii) 5,000 (d) 8,939 rounded off to the nearest 100 is: (i) 8,900 (ii) 8,800 (iii) 8,940 (e) The largest 6-digit number that can be formed using the digits 2, 0, 1, 2, 4, 8 is: (i) 8,42,120 (ii) 8,42,210 (iii) 8,41,220 10. Fill in the blanks. (a) Two million sixty-seven thousand one hundred thirty-five is written in numbers as ______________. (b) 7,84,920 is ____________ than 7,85,647. (c) The successor of 472,199 is _____________. (d) The predecessor of 35,906,187 is _____________. (e) The largest number among 7,20,147; 7,02,147; 7,10,417; 7,02,714 is _____________, (f ) _____________ comes between 872,379 and 872,381. (g) 10,000 = ___________ hundreds (h) 1 million = __________ lakhs 14 SCRATCH YOUR BRAIN (HOTS) 1. Rohit is shorter than Meena but taller than Karishma. Meena is not as tall as Varun but she is taller than Karishma. Arrange them from tallest to shortest. 2. Arushi has 5,625 stamps. Honey has 35 stamps more than Arushi. Devesh has 120 stamps less than Honey. Aditya has 50 more stamps than Devesh. Who has the largest and the smallest number of stamps? 3. Saurav has some coins totalling to an even number. The number lies in between 1,399 and 1,401. How many coins does Saurav have? 4. List all the numbers that can be rounded off to the given numbers. (a) 150 (b) 400 (c) 80 (d) 1,200 MATHS LAB ACTIVITY Do this activity in groups to learn to write large numbers with their number names. (i) Take 50 slips of paper. (ii) Write digits from 0 to 9 on the slips, one digit on each slip. (iii) Put all the slips in a box or a bowl and mix them well. (iv) Pick 5 slips from the box randomly. (v) Form the smallest and the greatest 5-digit numbers using the digits on the slips picked up by you. Also write the number names of the numbers you have formed. Repeat this activity by picking up 6 slips and forming 6-digit numbers. 15
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