Round Multi-Digit Numbers

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4th Grade Math › Round Multi-Digit Numbers

Questions 1 - 10
1

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 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, which happens when students don't identify the correct rounding place. To help students, use place value charts to identify the rounding place and decision digit clearly, and 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 the number is closer to, and remind students to check their answer makes sense by ensuring it's close to the original number.

2

Round $45,678$ to the nearest thousand.

45,700

46,000

45,000

460,000

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 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, which happens when students don't identify the correct rounding place. To help students, use place value charts to identify the rounding place and decision digit clearly, and 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 the number is closer to, and emphasize that all digits to the right become 0.

3

What is 8,456 rounded to the nearest hundred?

8,500

8,400

8,000

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.

4

Round 28,345 to the nearest ten thousand.

28,000

20,000

300,000

30,000

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.

5

Round 24,678 to the nearest thousand.

25,000

24,700

250,000

24,000

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 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 (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 25,678). 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.

6

Keisha rounded 9,876 to the nearest thousand. What is the result?

10,000

100,000

9,000

9,900

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.

7

Round 9,876 to the nearest thousand.

100,000

9,900

9,000

10,000

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 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 (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 10,876). 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.

8

Round 24,678 to the nearest thousand.​

25,000

24,000

24,700

250,000

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 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 (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 25,678). 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.

9

A city has 127,456 people. Round to the nearest ten thousand to estimate the population.

1,270,000

130,000

127,000

120,000

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.

10

Keisha rounded $9,876$ to the nearest thousand. What is the result?

9,900

90,000

9,000

10,000

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 B is correct because the digit to the right of the thousands is 8, which is ≥ 5 so we round UP, changing the thousands from 9 to 10 (which carries over) and making all digits to the right 0, giving us 10,000. This demonstrates correct application of rounding rules and place value understanding. Choice A represents rounding down incorrectly, which happens when students forget to increase the rounding digit when rounding up. To help students, use place value charts to identify the rounding place and decision digit clearly, and 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 the number is closer to, and practice with cases where rounding up causes carrying over, like from 9 to 10.

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