Rounding To the nearest tens and to the nearest hundreds What is rounding? Rounding to the nearest tens or hundreds place means finding the closest number with no tens and no ones. (Making it a "friendlier" number) Examples: 678 can be rounded to 700 51 can be rounded to 50 Can you come up with a few examples? Why do we round? Sometimes, you do not need an exact answer. You could be giving an estimate. In that case, it makes it easier to round a number to the nearest tens or hundreds place. Discuss opportunities that may require you to estimate. "Friendly" Numbers Remember this problem? 28 + 56 We would rather answer 30 + 60 because the numbers are friendlier. Our answer is close, but not exact. What makes them friendlier? (They end in zero!) Find the Friendly Numbers! Which is friendlier, 0 or 10? ● ● ● ● 2 6 8 4 Partner Time Using the number line, decide if 0 or 10 is the friendly number for each number. Create a T-Chart. Find the Friendly Numbers! Which is friendlier, 0, 10, or 20? ● ● ● ● ● 13 18 5 11 2 Find the Friendly Numbers! Which is friendlier, 0, 10, or 20? ● ● ● ● ● 13 18 5 11 2 Rules for rounding ● If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. ○ Example: 38 rounded to the nearest ten is 40 ● If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. ○ Example: 32 rounded to the nearest ten is 30. Round to the nearest 10. 45 47 19 24 73 87 Round to the nearest 100. 532 945 894 396 The Rounding Rhyme Find the digit, Look next door Five or higher, Add one more Four or less, Let it rest! Some Practice... Round to the nearest 10: 72 Use the Rounding Rhyme! "Find the digit..." Round to the nearest 10: 72 tens ones "Look next door..." Round to the nearest 10: 72 Five or higher? NO Round to the nearest 10: 72 Four or less? Let it rest! Round to the nearest 10: 72 70 Let's Try Again! Some More Practice... Round to the nearest 100: 586 Use the Rounding Rhyme! "Find the digit..." Round to the nearest 100: 586 hundreds tens ones "Look next door..." Round to the nearest 100: 586 Five or higher? ADD ONE MORE! Round to the nearest 100: 586 Five or higher? ADD ONE MORE! Round to the nearest 100: 586 600