Whole Numbers. Solve.
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1 1 CHAPTER PROBLEM SOLVING Thinking Skills Solve. 1. A bag contains a yellow ball and a red ball. a. Daisy picked the yellow ball with a 4-digit number written on it. When she rounded the number to the nearest thousand, she got 7,000. Write the least and greatest possible number that could be on the yellow ball. Least possible number: Greatest possible number: b. Erik picked the red ball with a 5-digit number written on it. When he rounded the number to the nearest thousand, he got 38,000. Write the least and greatest possible number that could be on the red ball. Least possible number: Greatest possible number: Enrichment 5A 1
2 2. A thief left a secret code at the crime scene for the police to break. These were the clues that the police found: There is a 4 in the thousands place. The digit in the tens place is 2 times the digit in the thousands place. The digit in the ten thousands place is 7 less than the digit in the ones place. The digit in the ones place is 3 more than 6. Multiply the digit in the ten thousands place by 3 to fi nd the digit in the millions place. The digit in the hundreds place is 5 less than the digit in the tens place. The difference between the digit in the thousands place and the digit in the tens place is the digit in the hundred thousands place. Help the police to fi nd the code. Millions Hundred Thousands Ten Thousands Thousands Hundreds Tens Ones 3. Find the actual sum. Then fi nd the estimated sum using front-end estimation. Which sum is greater? 111 1,111 11, ,111 1,111,111 2 Chapter 1
3 Solve. Show your work. 4. Estimate the sum of these numbers using front-end estimation with adjustment. Find the difference between the actual sum and the estimated sum. 2,354 4,563 4, Look at the number line. A 120, ,000 Round the numbers represented by A and B to the nearest thousand. Then estimate the difference between the numbers. B Enrichment 5A 3
4 PROBLEM SOLVING Strategies Solve. Show your work. 6. Complete the number pattern. 454, , , How many subtraction signs should be placed between these digits to get a value of 23? Show where the subtraction signs should be placed All the numbers are less than Chapter 1
5 8. How many addition and subtraction signs should be placed between these digits to get a value of 34? Show where the addition and subtraction signs should be placed All the numbers are less than 100. Enrichment 5A 5
6 PROBLEM SOLVING Exploration Solve. Show your work. 9. a. Write ten 6-digit numbers formed by the given digits b. Write the greatest 6-digit number using the given digits. c. Write the least 6-digit number using the given digits. d. Find the difference between your answers in Exercises b and c. Is this the greatest difference between two 6-digit numbers formed by the digits 8, 3, 0, 5, 9 and 1? 6 Chapter 1
7 10. These numbers are arranged in a pattern. 739, , , , ,446 Change any two digits in each number and keep the numbers in the same pattern. Enrichment 5A 7
8 Journal Writing Explain. 11. Sean and Kit rounded 256,537 to the nearest thousand. Sean s answer: 256,500 Kit s answer: 256,000 Explain the mistakes made by Sean and Kit. 8 Chapter 1
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