Answer: fifty-four thousand, three hundred and six54 thousand, 3 hundred and 6: fifty-four thousand, three hundred and six.
6. Write ninety thousand, four hundred and five in numerals.1 mark
Answer: 90 40590 thousand, 4 hundred and 5. The tens digit is 0: 90 405.
7. What number is 10 more than 68 995?1 mark
Answer: 69 00568 995 + 10 = 69 005. The tens and hundreds carry.
8. What number is 1000 less than 100 000?1 mark
Answer: 99 000100 000 − 1000 = 99 000.
9. Write the number with 3 ten thousands, 0 thousands, 7 hundreds, 0 tens and 2 ones.1 mark
Answer: 30 70230 000 + 700 + 2 = 30 702.
10. Counting in ten thousands: 10 000, 20 000, ____, ____, 50 000. Fill in the two missing numbers.2 marks
Answer: 30 000 and 40 000Add 10 000 each time: 30 000 and 40 000.
11. What is 1 more than 79 999? Say what happens to the digits.2 marks
Answer: 80 000. Each 9 carries, so the 9s become 0 and the 7 becomes 8.79 999 + 1 = 80 000. All four 9s carry over and the ten-thousands digit goes up by 1.
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Primary 4 Mathematics · Chapter 1 · Answers and explanations
Lesson 1.2: Ten Thousands, Thousands, Hundreds, Tens and Ones
Use this page to check the practice sheet together. Talk about why each answer is right. Total: 15 marks.
Section A · Multiple choice 4 marks
1. In 37 482, what is the value of the digit 7?1 mark
(A) 700(B) 7000(C) 70 000(D) 7
Answer: (B) 7000The 7 is in the thousands place, so its value is 7000.
2. In 62 148, which place is the digit 4 in?1 mark
(A) ones(B) hundreds(C) thousands(D) tens
Answer: (D) tens62 148 has 6 ten thousands, 2 thousands, 1 hundred, 4 tens and 8 ones. The 4 is in the tens place.
3. Which number is 40 000 + 3000 + 50 + 6?1 mark
(A) 43 506(B) 40 356(C) 43 056(D) 4356
Answer: (C) 43 056Put each part in its place. There are no hundreds, so the hundreds digit is 0: 43 056.
4. In which number does the digit 5 have the value 5000?1 mark
(A) 54 012(B) 15 608(C) 32 150(D) 20 005
Answer: (B) 15 608In 15 608 the 5 is in the thousands place, so it is worth 5000. In the others it is worth 50 000, 50 and 5.
Section B · Write your answer 11 marks
5. What is the value of the digit 8 in 84 306?1 mark
Answer: 80 000The 8 is in the ten-thousands place: 8 × 10 000 = 80 000.
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Primary 4 Mathematics · Chapter 1 · Answers and explanations
Lesson 1.5: Rounding to the Nearest 10
Use this page to check the practice sheet together. Talk about why each answer is right. Total: 14 marks.
Section A · Multiple choice 4 marks
1. Round 3846 to the nearest 10.1 mark
(A) 3840(B) 3850(C) 3800(D) 3900
Answer: (B) 3850The ones digit is 6, which is 5 or more, so round up to 3850.
2. Round 52 394 to the nearest 10.1 mark
(A) 52 400(B) 52 300(C) 52 390(D) 52 399
Answer: (C) 52 390The ones digit is 4, which is less than 5, so round down to 52 390.
3. Between which two tens does 7265 lie?1 mark
(A) 7200 and 7300(B) 7260 and 7270(C) 7250 and 7260(D) 7265 and 7275
Answer: (B) 7260 and 7270The tens before and after 7265 are 7260 and 7270.
4. Which number rounds to 4580 to the nearest 10?1 mark
(A) 4574(B) 4565(C) 4576(D) 4593
Answer: (C) 45764576 has ones digit 6, so it rounds up to 4580. The others round to 4570, 4570 and 4590.
Section B · Write your answer 10 marks
5. Round 69 998 to the nearest 10.1 mark
Answer: 70 000The ones digit is 8, so round up. 69 990 becomes 70 000.
6. Round 10 005 to the nearest 10.1 mark
Answer: 10 010The ones digit is 5, so round up to 10 010.
7. Round 8531 to the nearest 10.1 mark
Answer: 8530The ones digit is 1, so round down to 8530.
8. Complete: 27 645 ≈ ______ (nearest 10)1 mark
Answer: 27 650The ones digit is 5, so round up to 27 650.
9. Write the smallest whole number that rounds to 340 to the nearest 10.1 mark
Answer: 335335 has ones digit 5, so it rounds up to 340. 334 rounds down to 330.
10. Write the greatest whole number that rounds to 340 to the nearest 10.1 mark
Answer: 344344 has ones digit 4, so it rounds down to 340. 345 rounds up to 350.
11. A shop has 4876 stamps. About how many stamps is that, to the nearest 10?1 mark
Answer: 4880The ones digit is 6, so round up to 4880.
12. Jay rounded 6725 to 6720 to the nearest 10. Is he correct? Explain.3 marks
Answer: No. The ones digit is 5, so he should round up to 6730.A ones digit of 5 or more rounds up, so 6725 ≈ 6730.
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Primary 4 Mathematics · Chapter 1 · Answers and explanations
Lesson 1.6: Rounding to the Nearest 100
Use this page to check the practice sheet together. Talk about why each answer is right. Total: 14 marks.
Section A · Multiple choice 4 marks
1. Round 4372 to the nearest 100.1 mark
(A) 4300(B) 4400(C) 4370(D) 4380
Answer: (B) 4400The tens digit is 7, which is 5 or more, so round up to 4400.
2. Round 18 250 to the nearest 100.1 mark
(A) 18 200(B) 18 250(C) 18 300(D) 19 000
Answer: (C) 18 300The tens digit is 5, so round up to 18 300.
3. Round 9951 to the nearest 100.1 mark
(A) 9900(B) 9950(C) 9990(D) 10 000
Answer: (D) 10 000The tens digit is 5, so round up: 9900 becomes 10 000.
4. Between which two hundreds does 56 740 lie?1 mark
(A) 56 000 and 57 000(B) 56 700 and 56 800(C) 56 600 and 56 700(D) 56 740 and 56 840
Answer: (B) 56 700 and 56 800The hundreds before and after are 56 700 and 56 800.
Section B · Write your answer 10 marks
5. Round 23 849 to the nearest 100.1 mark
Answer: 23 800The tens digit is 4, so round down to 23 800.
6. Round 70 050 to the nearest 100.1 mark
Answer: 70 100The tens digit is 5, so round up to 70 100.
7. Round 5499 to the nearest 100.1 mark
Answer: 5500The tens digit is 9, so round up to 5500.
8. Round 99 960 to the nearest 100.1 mark
Answer: 100 000The tens digit is 6, so round up. 99 900 becomes 100 000.
9. Which digit decides when you round 6384 to the nearest 100?1 mark
Answer: 8 (the tens digit)To round to the nearest 100, look at the tens digit. It is 8, so round up to 6400.
10. Write the smallest and the greatest whole numbers that round to 8200 to the nearest 100.2 marks
Answer: smallest 8150; greatest 82498150 has tens digit 5, so it rounds up to 8200. 8249 has tens digit 4, so it rounds down to 8200.
11. A stadium has 34 580 seats. How many is that, to the nearest 100?1 mark
Answer: 34 600The tens digit is 8, so round up to 34 600.
12. Round 3450 to the nearest 10 and to the nearest 100.2 marks
Answer: nearest 10: 3450; nearest 100: 3500The ones digit is 0, so it stays 3450 to the nearest 10. The tens digit is 5, so round up to 3500 to the nearest 100.
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Primary 4 Mathematics · Chapter 1 · Answers and explanations
Lesson 1.7: Rounding to the Nearest 1000
Use this page to check the practice sheet together. Talk about why each answer is right. Total: 16 marks.
Section A · Multiple choice 4 marks
1. Round 7480 to the nearest 1000.1 mark
(A) 7000(B) 7500(C) 8000(D) 7400
Answer: (A) 7000The hundreds digit is 4, which is less than 5, so round down to 7000.
2. Round 36 500 to the nearest 1000.1 mark
(A) 36 000(B) 36 500(C) 37 000(D) 40 000
Answer: (C) 37 000The hundreds digit is 5, so round up to 37 000.
3. Round 89 620 to the nearest 1000.1 mark
(A) 89 000(B) 89 600(C) 89 700(D) 90 000
Answer: (D) 90 000The hundreds digit is 6, so round up. 89 000 becomes 90 000.
4. Which number rounds to 25 000 to the nearest 1000?1 mark
(A) 24 400(B) 24 600(C) 25 600(D) 26 400
Answer: (B) 24 60024 600 has hundreds digit 6, so it rounds up to 25 000. The others round to 24 000, 26 000 and 26 000.
Section B · Write your answer 12 marks
5. Round 52 310 to the nearest 1000.1 mark
Answer: 52 000The hundreds digit is 3, so round down to 52 000.
6. Round 9500 to the nearest 1000.1 mark
Answer: 10 000The hundreds digit is 5, so round up to 10 000.
7. Round 99 501 to the nearest 1000.1 mark
Answer: 100 000The hundreds digit is 5, so round up to 100 000.
8. Round 46 285 to the nearest 10, the nearest 100 and the nearest 1000.3 marks
9. Which digit decides when you round to the nearest 1000?1 mark
Answer: the hundreds digitLook at the digit just to the right of the thousands place. That is the hundreds digit.
10. A fair had 18 760 visitors. About how many, to the nearest 1000?1 mark
Answer: 19 000The hundreds digit is 7, so round up to 19 000.
11. Write the smallest and the greatest whole numbers that round to 40 000 to the nearest 1000.2 marks
Answer: smallest 39 500; greatest 40 49939 500 has hundreds digit 5, so it rounds up to 40 000. 40 499 has hundreds digit 4, so it rounds down to 40 000.
12. Ben says 4499 rounds to 5000 to the nearest 1000 because 499 is nearly 500. Is he correct? Explain.2 marks
Answer: No. The hundreds digit is 4, so it rounds down to 4000.Only the hundreds digit matters. It is 4, which is less than 5, so 4499 ≈ 4000.
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Primary 4 Mathematics · Chapter 1 · Answers and explanations
Chapter 1 Revision Paper: Numbers to 100 000 (answers)
Section A · Multiple choice 10 marks
1. Which number is seventy-three thousand and sixty-five?1 mark
(A) 73,650(B) 73,605(C) 73,065(D) 7,365
Answer: (C) 73,065Seventy-three thousand is 73,000. "Sixty-five" is 6 tens and 5 ones, so there are 0 hundreds. The number is 73,065.
2. Zara has 3 ten-thousand discs, 12 thousand discs, 5 hundred discs and 4 ones discs. What number do the discs show?1 mark
(A) 31,254(B) 42,054(C) 42,540(D) 42,504
Answer: (D) 42,5043 ten-thousands = 30,000 and 12 thousands = 12,000, so together they make 42,000. Add 500 and 4: 42,000 + 500 + 4 = 42,504.
3. What is the value of the digit 6 in 46,925?1 mark
(A) 6,000(B) 60,000(C) 600(D) 6
Answer: (A) 6,000The digit 6 is in the thousands place (4 is in the ten thousands, 6 in the thousands). So its value is 6,000.
4. Which number is the same as 50,000 + 300 + 7?1 mark
(A) 53,007(B) 50,307(C) 5,307(D) 50,370
Answer: (B) 50,307There are 5 ten thousands, 0 thousands, 3 hundreds, 0 tens and 7 ones. Write 0 in the empty places: 50,307.
5. Which number is greater than 63,508 but smaller than 63,580?1 mark
(A) 63,058(B) 63,805(C) 63,550(D) 63,508
Answer: (C) 63,550The numbers share 63, so compare the hundreds, then the tens. 63,550 has 5 hundreds and 5 tens, so it lies between 63,508 and 63,580. 63,058 is smaller; 63,805 is greater; 63,508 is not greater than itself.
6. What is the next number in the pattern? 19,850, 19,950, 20,050, ____1 mark
(A) 20,250(B) 21,050(C) 20,060(D) 20,150
Answer: (D) 20,150Each number is 100 more than the one before. 20,050 + 100 = 20,150. The hundreds digit goes from 0 to 1.
7. Round 6,995 to the nearest 10.1 mark
(A) 7,000(B) 6,990(C) 6,900(D) 7,100
Answer: (A) 7,000The ones digit is 5, so round up. 6,995 is halfway between 6,990 and 7,000, and we round up to 7,000.
8. Round 45,962 to the nearest 100.1 mark
(A) 45,900(B) 46,000(C) 45,960(D) 46,100
Answer: (B) 46,000Look at the tens digit: it is 6, so round up to the next hundred. 45,962 is between 45,900 and 46,000 and is nearer to 46,000.
9. Round 72,499 to the nearest 1000.1 mark
(A) 73,000(B) 72,500(C) 72,000(D) 72,400
Answer: (C) 72,000Look at the hundreds digit: it is 4, which is less than 5, so round down to 72,000. The last digits 99 do not change this.
10. Which number is 5,400 when rounded to the nearest 100?1 mark
(A) 5,451(B) 5,339(C) 5,550(D) 5,449
Answer: (D) 5,4495,449 has 4 tens, so round down to 5,400. 5,451 has 5 tens, so it rounds up to 5,500. 5,339 rounds to 5,300 and 5,550 rounds to 5,600.
Section B · Short answers 4 marks
11. Write the number: sixty-one thousand and eight.1 mark
Answer: 61,00861 thousands = 61,000. Then "eight" is 8 ones, so there are 0 hundreds and 0 tens. The number is 61,008.
12. Find the missing number. 41,300, 41,800, ____, 42,8001 mark
Answer: 42,30041,800 − 41,300 = 500, so the rule is add 500. 41,800 + 500 = 42,300. Check: 42,300 + 500 = 42,800.
13. Round 99,950 to the nearest 1000.1 mark
Answer: 100,000The hundreds digit is 9, so round up. 99,950 is closer to 100,000 than to 99,000. The answer is 100,000.
14. Use each of the digits 4, 0, 7, 2 and 9 once to make the smallest 5-digit number.1 mark
Answer: 20,479Put the smallest digits in the biggest places. The smallest digit is 0, but a 5-digit number cannot start with 0, so start with 2. Then 0, 4, 7, 9: 20,479.
Section C · Show your working 16 marks
15. Ravi has 4 ten-thousand discs, 15 thousand discs and 3 ten discs. What number do the discs show?2 marks
Answer: 55,03015 thousands = 10 thousands + 5 thousands, so regroup: 4 ten thousands + 1 ten thousand = 5 ten thousands. Now there are 5 ten thousands, 5 thousands, 0 hundreds, 3 tens and 0 ones. Or add: 40,000 + 15,000 + 30 = 55,030.
16. The digit 7 appears two times in 87,175. Find the difference between the greater value and the smaller value of the digit 7.2 marks
Answer: 6,930In 87,175, one 7 is in the thousands place, so its value is 7,000. The other 7 is in the tens place, so its value is 70. Difference: 7,000 − 70 = 6,930.
17. Write all the digits that can replace ■ so that 47,■85 < 47,385 is true.2 marks
Answer: 0, 1, 2The ten thousands and thousands are the same (47). Compare the hundreds: ■ must be less than 3. If ■ = 3, both numbers are 47,385, which is equal, not smaller. So ■ can be 0, 1 or 2.
18. The numbers of people living in four towns are: Town A: 38,405 Town B: 38,054 Town C: 83,045 Town D: 38,450 Arrange the towns from the town with the most people to the town with the fewest people.2 marks
Answer: C, D, A, BCompare the ten thousands first: Town C has 8 ten thousands, the others have 3, so C is greatest. For A, B and D (all 38,___), compare the hundreds: 38,450 and 38,405 have 4 hundreds, but 38,054 has 0. Then compare tens: 38,450 has 5 tens, 38,405 has 0 tens. Order: 83,045 > 38,450 > 38,405 > 38,054, so C, D, A, B.
19. Siti started to put numbers in this pattern. Find the rule. What is the first number in the pattern that is greater than 14,000?2 marks
Answer: 14,150The rule is add 350: 12,750 − 12,400 = 350. Keep adding: 13,450, 13,800 (not greater than 14,000), 14,150 (greater than 14,000). The first number is 14,150.
20. A stadium had 46,538 visitors on Saturday. Mei rounded the number to the nearest 1000. Ravi rounded it to the nearest 100. Find the difference between their answers.2 marks
21. A 4-digit number is 3,450 when rounded to the nearest 10 and 3,400 when rounded to the nearest 100. List all the numbers it could be.2 marks
Answer: 3,445; 3,446; 3,447; 3,448; 3,449To the nearest 10 it is 3,450, so it is from 3,445 to 3,454. To the nearest 100 it is 3,400, so it is from 3,350 to 3,449 (3,450 would round up to 3,500). Numbers in both lists: 3,445, 3,446, 3,447, 3,448 and 3,449.
22. Using each of the digits 3, 0, 7, 5 and 9 once, Ali forms the greatest 5-digit number and Mei forms the smallest 5-digit number. Round each number to the nearest 1000. Find the difference between the two rounded numbers.2 marks
Answer: 67,000Greatest: put the biggest digits first, 97,530. Smallest: 0 cannot be first, so 3, then 0, 5, 7, 9: 30,579. Round to the nearest 1000: 97,530 has 5 hundreds, round up to 98,000. 30,579 has 5 hundreds, round up to 31,000. Difference: 98,000 − 31,000 = 67,000.
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