Round Multi-Digit Numbers
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4th Grade Math › Round Multi-Digit Numbers
A city has 127,456 people. Round to the nearest ten thousand to estimate the population.
127,000
130,000
120,000
1,270,000
Explanation
This question tests 4th grade ability to use place value understanding to round multi-digit whole numbers to any place (CCSS.4.NBT.3). Rounding simplifies a number by changing it to the nearest value at a specified place. The process: (1) Identify the rounding place, (2) Look at the digit immediately to the right, (3) If that digit is 0-4, round DOWN (keep the rounding digit the same), if it's 5-9, round UP (increase the rounding digit by 1), (4) All digits to the right of the rounding place become 0. To round 127,456 to the nearest ten thousand, we look at the 2 in the ten thousands place and check the 7 in the thousands place to determine whether to round up. Choice C is correct because the digit to the right of the ten thousands place is 7, which is ≥5 so we round up, changing the ten thousands from 2 to 3 and making all digits to the right 0, giving us 130,000. This demonstrates correct application of rounding rules and place value understanding. Choice B represents rounding to the nearest thousand instead of ten thousand, which happens when students don't identify the correct rounding place. To help students: Use place value charts to identify rounding place and decision digit clearly. Teach the 'neighbor rule'—look at the neighbor to the right (0-4 = stay, 5-9 = go up). Use number lines to show which benchmark (120,000 or 130,000) a number is closer to. Emphasize that ALL digits to the right become 0 (127,456 rounded to nearest ten thousand is 130,000, not 127,000). Practice with benchmark numbers: 125,000 is exactly halfway between 120,000 and 130,000—by convention we round up to 130,000. Remind students to check their answer makes sense (should be close to original). Watch for: rounding to wrong place, rounding wrong direction (up when should be down), truncating (chopping off) instead of rounding, and forgetting to add all the necessary zeros.
Round 347 to the nearest ten.
300
340
347
350
Explanation
This question tests 4th grade ability to use place value understanding to round multi-digit whole numbers to any place (CCSS.4.NBT.3). Rounding simplifies a number by changing it to the nearest value at a specified place. The process: (1) Identify the rounding place, (2) Look at the digit immediately to the right, (3) If that digit is 0-4, round DOWN (keep the rounding digit the same), if it's 5-9, round UP (increase the rounding digit by 1), (4) All digits to the right of the rounding place become 0. To round 347 to the nearest ten, we look at the 4 in the tens place and check the 7 in the ones place to determine whether to round up. Choice B is correct because the digit to the right of the tens place is 7, which is ≥5 so we round up, changing the tens from 4 to 5 and making all digits to the right 0, giving us 350. This demonstrates correct application of rounding rules and place value understanding. Choice A represents rounding down incorrectly, which happens when students misapply the 0-4 down, 5-9 up rule. To help students: Use place value charts to identify rounding place and decision digit clearly. Teach the 'neighbor rule'—look at the neighbor to the right (0-4 = stay, 5-9 = go up). Use number lines to show which benchmark (340 or 350) a number is closer to. Emphasize that ALL digits to the right become 0 (347 rounded to nearest ten is 350, not 347). Practice with benchmark numbers: 345 is exactly halfway between 340 and 350—by convention we round up to 350. Remind students to check their answer makes sense (should be close to original). Watch for: rounding to wrong place, rounding wrong direction (up when should be down), truncating (chopping off) instead of rounding, and forgetting to add all the necessary zeros.
To the nearest thousand, about how many books are in a library with 24,678 books?
24,000
24,700
25,000
240,000
Explanation
This question tests 4th grade ability to use place value understanding to round multi-digit whole numbers to any place (CCSS.4.NBT.3). Rounding simplifies a number by changing it to the nearest value at a specified place. The process: (1) Identify the rounding place, (2) Look at the digit immediately to the right, (3) If that digit is $0-4$, round DOWN (keep the rounding digit the same), if it's $5-9$, round UP (increase the rounding digit by 1), (4) All digits to the right of the rounding place become 0. To round 24,678 to the nearest thousand, we look at the 4 in the thousands place and check the 6 in the hundreds place to determine whether to round up. Choice C is correct because the digit to the right of the thousands place is 6, which is $≥5$ so we round up, changing the thousands from 4 to 5 and making all digits to the right 0, giving us 25,000. This demonstrates correct application of rounding rules and place value understanding. Choice B represents rounding to the nearest hundred instead of thousand, which happens when students don't identify the correct rounding place. To help students: Use place value charts to identify rounding place and decision digit clearly. Teach the 'neighbor rule'—look at the neighbor to the right ($0-4$ = stay, $5-9$ = go up). Use number lines to show which benchmark (24,000 or 25,000) a number is closer to. Emphasize that ALL digits to the right become 0 (24,678 rounded to nearest thousand is 25,000, not 24,678). Practice with benchmark numbers: 24,500 is exactly halfway between 24,000 and 25,000—by convention we round up to 25,000. Remind students to check their answer makes sense (should be close to original). Watch for: rounding to wrong place, rounding wrong direction (up when should be down), truncating (chopping off) instead of rounding, and forgetting to add all the necessary zeros.
Round $6,389 to the nearest ten dollars.
$6,389
$6,390
$6,380
$6,400
Explanation
This question tests 4th grade ability to use place value understanding to round multi-digit whole numbers to any place (CCSS.4.NBT.3). Rounding simplifies a number by changing it to the nearest value at a specified place. The process: (1) Identify the rounding place, (2) Look at the digit immediately to the right, (3) If that digit is 0-4, round DOWN (keep the rounding digit the same), if it's 5-9, round UP (increase the rounding digit by 1), (4) All digits to the right of the rounding place become 0. To round 6,389 to the nearest ten, we look at the 8 in the tens place and check the 9 in the ones place to determine whether to round up. Choice B is correct because the digit to the right of the tens place is 9, which is ≥5 so we round up, changing the tens from 8 to 9 and making all digits to the right 0, giving us 6,390. This demonstrates correct application of rounding rules and place value understanding. Choice D represents not rounding at all, which happens when students forget to apply the rounding process. To help students: Use place value charts to identify rounding place and decision digit clearly. Teach the 'neighbor rule'—look at the neighbor to the right (0-4 = stay, 5-9 = go up). Use number lines to show which benchmark (6,380 or 6,390) a number is closer to. Emphasize that ALL digits to the right become 0 (6,389 rounded to nearest ten is 6,390, not 6,389). Practice with benchmark numbers: 6,385 is exactly halfway between 6,380 and 6,390—by convention we round up to 6,390. Remind students to check their answer makes sense (should be close to original). Watch for: rounding to wrong place, rounding wrong direction (up when should be down), truncating (chopping off) instead of rounding, and forgetting to add all the necessary zeros.
Keisha rounded 9,876 to the nearest thousand. What is the result?
9,900
10,000
9,000
100,000
Explanation
This question tests 4th grade ability to use place value understanding to round multi-digit whole numbers to any place (CCSS.4.NBT.3). Rounding simplifies a number by changing it to the nearest value at a specified place. The process: (1) Identify the rounding place, (2) Look at the digit immediately to the right, (3) If that digit is 0-4, round DOWN (keep the rounding digit the same), if it's 5-9, round UP (increase the rounding digit by 1), (4) All digits to the right of the rounding place become 0. To round 9,876 to the nearest thousand, we look at the 9 in the thousands place and check the 8 in the hundreds place to determine whether to round up. Choice C is correct because the digit to the right of the thousands place is 8, which is ≥5 so we round up, changing the thousands from 9 to 10 and making all digits to the right 0, giving us 10,000. This demonstrates correct application of rounding rules and place value understanding. Choice B represents rounding to the nearest hundred instead of thousand, which happens when students don't identify the correct rounding place. To help students: Use place value charts to identify rounding place and decision digit clearly. Teach the 'neighbor rule'—look at the neighbor to the right (0-4 = stay, 5-9 = go up). Use number lines to show which benchmark (9,000 or 10,000) a number is closer to. Emphasize that ALL digits to the right become 0 (9,876 rounded to nearest thousand is 10,000, not 9,876). Practice with benchmark numbers: 9,500 is exactly halfway between 9,000 and 10,000—by convention we round up to 10,000. Remind students to check their answer makes sense (should be close to original). Watch for: rounding to wrong place, rounding wrong direction (up when should be down), truncating (chopping off) instead of rounding, and forgetting to add all the necessary zeros.
Round 28,345 to the nearest ten thousand.
30,000
300,000
20,000
28,000
Explanation
This question tests 4th grade ability to use place value understanding to round multi-digit whole numbers to any place (CCSS.4.NBT.3). Rounding simplifies a number by changing it to the nearest value at a specified place. The process: (1) Identify the rounding place, (2) Look at the digit immediately to the right, (3) If that digit is 0-4, round DOWN (keep the rounding digit the same), if it's 5-9, round UP (increase the rounding digit by 1), (4) All digits to the right of the rounding place become 0. To round 28,345 to the nearest ten thousand, we look at the 2 in the ten thousands place and check the 8 in the thousands place to determine whether to round up. Choice C is correct because the digit to the right of the ten thousands place is 8, which is ≥5 so we round up, changing the ten thousands from 2 to 3 and making all digits to the right 0, giving us 30,000. This demonstrates correct application of rounding rules and place value understanding. Choice B represents rounding to the nearest thousand instead of ten thousand, which happens when students don't identify the correct rounding place. To help students: Use place value charts to identify rounding place and decision digit clearly. Teach the 'neighbor rule'—look at the neighbor to the right (0-4 = stay, 5-9 = go up). Use number lines to show which benchmark (20,000 or 30,000) a number is closer to. Emphasize that ALL digits to the right become 0 (28,345 rounded to nearest ten thousand is 30,000, not 28,345). Practice with benchmark numbers: 25,000 is exactly halfway between 20,000 and 30,000—by convention we round up to 30,000. Remind students to check their answer makes sense (should be close to original). Watch for: rounding to wrong place, rounding wrong direction (up when should be down), truncating (chopping off) instead of rounding, and forgetting to add all the necessary zeros.
What is 8,456 rounded to the nearest hundred?
8,000
8,400
8,500
8,460
Explanation
This question tests 4th grade ability to use place value understanding to round multi-digit whole numbers to any place (CCSS.4.NBT.3). Rounding simplifies a number by changing it to the nearest value at a specified place. The process: (1) Identify the rounding place, (2) Look at the digit immediately to the right, (3) If that digit is 0-4, round DOWN (keep the rounding digit the same), if it's 5-9, round UP (increase the rounding digit by 1), (4) All digits to the right of the rounding place become 0. To round 8,456 to the nearest hundred, we look at the 4 in the hundreds place and check the 5 in the tens place to determine whether to round up. Choice C is correct because the digit to the right of the hundreds place is 5, which is ≥5 so we round up, changing the hundreds from 4 to 5 and making all digits to the right 0, giving us 8,500. This demonstrates correct application of rounding rules and place value understanding. Choice B represents rounding to the nearest ten instead of hundred, which happens when students don't identify the correct rounding place. To help students: Use place value charts to identify rounding place and decision digit clearly. Teach the 'neighbor rule'—look at the neighbor to the right (0-4 = stay, 5-9 = go up). Use number lines to show which benchmark (8,400 or 8,500) a number is closer to. Emphasize that ALL digits to the right become 0 (8,456 rounded to nearest hundred is 8,500, not 8,456). Practice with benchmark numbers: 8,450 is exactly halfway between 8,400 and 8,500—by convention we round up to 8,500. Remind students to check their answer makes sense (should be close to original). Watch for: rounding to wrong place, rounding wrong direction (up when should be down), truncating (chopping off) instead of rounding, and forgetting to add all the necessary zeros.
What is 56,789 rounded to the nearest thousand?
5,700
57,000
56,000
56,800
Explanation
This question tests 4th grade ability to use place value understanding to round multi-digit whole numbers to any place (CCSS.4.NBT.3). Rounding simplifies a number by changing it to the nearest value at a specified place. The process: (1) Identify the rounding place, (2) Look at the digit immediately to the right, (3) If that digit is 0-4, round DOWN (keep the rounding digit the same), if it's 5-9, round UP (increase the rounding digit by 1), (4) All digits to the right of the rounding place become 0. To round 56,789 to the nearest thousand, we look at the 6 in the thousands place and check the 7 in the hundreds place to determine whether to round up. Choice C is correct because the digit to the right of the thousands place is 7, which is ≥5 so we round up, changing the thousands from 6 to 7 and making all digits to the right 0, giving us 57,000. This demonstrates correct application of rounding rules and place value understanding. Choice B represents rounding to the nearest hundred instead of thousand, which happens when students don't identify the correct rounding place. To help students: Use place value charts to identify rounding place and decision digit clearly. Teach the 'neighbor rule'—look at the neighbor to the right (0-4 = stay, 5-9 = go up). Use number lines to show which benchmark (56,000 or 57,000) a number is closer to. Emphasize that ALL digits to the right become 0 (56,789 rounded to nearest thousand is 57,000, not 56,789). Practice with benchmark numbers: 56,500 is exactly halfway between 56,000 and 57,000—by convention we round up to 57,000. Remind students to check their answer makes sense (should be close to original). Watch for: rounding to wrong place, rounding wrong direction (up when should be down), truncating (chopping off) instead of rounding, and forgetting to add all the necessary zeros.
Round 3,420 to the nearest hundred.
3,420
3,500
3,400
3,000
Explanation
This question tests 4th grade ability to use place value understanding to round multi-digit whole numbers to any place (CCSS.4.NBT.3). Rounding simplifies a number by changing it to the nearest value at a specified place. The process: (1) Identify the rounding place, (2) Look at the digit immediately to the right, (3) If that digit is 0-4, round DOWN (keep the rounding digit the same), if it's 5-9, round UP (increase the rounding digit by 1), (4) All digits to the right of the rounding place become 0. To round 3,420 to the nearest hundred, we look at the 4 in the hundreds place and check the 2 in the tens place to determine whether to round down. Choice B is correct because the digit to the right of the hundreds place is 2, which is <5 so we round down, keeping the hundreds at 4 and making all digits to the right 0, giving us 3,400. This demonstrates correct application of rounding rules and place value understanding. Choice A represents rounding up incorrectly, which happens when students misapply the 0-4 down, 5-9 up rule. To help students: Use place value charts to identify rounding place and decision digit clearly. Teach the 'neighbor rule'—look at the neighbor to the right (0-4 = stay, 5-9 = go up). Use number lines to show which benchmark (3,400 or 3,500) a number is closer to. Emphasize that ALL digits to the right become 0 (3,420 rounded to nearest hundred is 3,400, not 3,420). Practice with benchmark numbers: 3,450 is exactly halfway between 3,400 and 3,500—by convention we round up to 3,500. Remind students to check their answer makes sense (should be close to original). Watch for: rounding to wrong place, rounding wrong direction (up when should be down), truncating (chopping off) instead of rounding, and forgetting to add all the necessary zeros.
Round 45,678 to the nearest thousand.
460,000
45,700
46,000
45,000
Explanation
This question tests 4th grade ability to use place value understanding to round multi-digit whole numbers to any place (CCSS.4.NBT.3). Rounding simplifies a number by changing it to the nearest value at a specified place. The process: (1) Identify the rounding place, (2) Look at the digit immediately to the right, (3) If that digit is 0-4, round DOWN (keep the rounding digit the same), if it's 5-9, round UP (increase the rounding digit by 1), (4) All digits to the right of the rounding place become 0. To round 45,678 to the nearest thousand, we look at the 5 in the thousands place and check the 6 in the hundreds place to determine whether to round up. Choice B is correct because the digit to the right of the thousands place is 6, which is ≥5 so we round up, changing the thousands from 5 to 6 and making all digits to the right 0, giving us 46,000. This demonstrates correct application of rounding rules and place value understanding. Choice A represents rounding to the nearest hundred instead of thousand, which happens when students don't identify the correct rounding place. To help students: Use place value charts to identify rounding place and decision digit clearly. Teach the 'neighbor rule'—look at the neighbor to the right (0-4 = stay, 5-9 = go up). Use number lines to show which benchmark (45,000 or 46,000) a number is closer to. Emphasize that ALL digits to the right become 0 (45,678 rounded to nearest thousand is 46,000, not 46,078). Practice with benchmark numbers: 45,500 is exactly halfway between 45,000 and 46,000—by convention we round up to 46,000. Remind students to check their answer makes sense (should be close to original). Watch for: rounding to wrong place, rounding wrong direction (up when should be down), truncating (chopping off) instead of rounding, and forgetting to add all the necessary zeros.