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Round to the Nearest Hundred Thousand: 3,418,285 and 12,375,201 (5th Grade Math)
Mathematics
Grade 5
Question Content
5. Round to the nearest hundred thousand. a) 3,418,285 b)12,375,201
Correct Answer
a) 3,400,000; b)12,400,000
Detailed Solution Steps
1
Step 1: Identify the hundred thousand place. For 3,418,285, the hundred thousand digit is 4 (representing 400,000). For 12,375,201, the hundred thousand digit is 3 (representing 300,000).
2
Step 2: Look at the digit to the right (ten thousand place) to round. For 3,418,285, the ten thousand digit is 1, which is less than 5, so we keep the hundred thousand digit the same and set all digits to the right to 0: 3,400,000.
3
Step 3: For 12,375,201, the ten thousand digit is 7, which is 5 or greater, so we add 1 to the hundred thousand digit (3 becomes 4) and set all digits to the right to 0: 12,400,000.
Knowledge Points Involved
1
Rounding to the Nearest Hundred Thousand
Rounding a number to the nearest hundred thousand means finding the closest multiple of 100,000 to the given number. Locate the hundred thousand digit, then look at the ten thousand digit: if it is 5 or more, round up; if it is less than 5, round down.
2
Place Value for Large Numbers
In large numbers, each digit has a place value (ones, tens, hundreds, thousands, ten thousands, hundred thousands, etc.). The hundred thousand place is the 6th digit from the right in a whole number.
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