It says use place value to round 314,609 to the nearest hundred thousand, to the nearest ten thousand, and to the nearest thousand. what's the answer?



Answer :

The given number 314,609 is rounded to:

The nearest hundred thousand: 300,000

The nearest ten thousand: 310,000

The nearest thousand: 315,000

How to round the place values to the nearest values?

To round the place values of a number to the nearest place values following rules are considered:

  • If the place value after the place value of the digit which is to be rounded is less than 5, then make all the digits after it as 0's.
  • If the place value after the place value of the digit which is to be rounded is greater than 5, then add 1 to the rounding digit and make all the other digits as zero (The digits after it).

Calculation:

The given number is 314,609

The number name for 314,609 is " Three hundred and fourteen thousand, six hundred and nine "

The order of the places is Hth(Hundred thousand), Tth(Ten thousand), Th(Thousands), H(Hundreds), T(Tens), O(Ones)

Rounding to the nearest hundred thousand:

Hth  Tth  Th  H  T  O

3       1      4    6  0  9

The digit in the hundreds of thousands place is "3". The digit next/after this place is "1" in ten thousand's place. Since 1 < 5, the digits after 3 are rounded as zeros. I.e., 300,000.

Thus, the nearest hundred thousand for the given number is 300,000.

Rounding to the nearest ten thousand:

Hth  Tth  Th  H  T  O

3       1      4    6  0  9

The digit in the ten thousand places is "1". The digit after this place is "4" in the thousands place. Since 4 < 5, the digits after 1 are rounded as zeros. I.e., 310,000.

Thus, the nearest ten thousand for the given number is 310,000.

Rounding to the nearest thousand:

Hth  Tth  Th  H  T  O

3       1      4    6  0  9

The digit in the thousand's place is "4". The digit after this place is "6" in the hundreds place. Since 6 > 5, the digit in the thousands place is added by 1, and the digits after it are made as zeros. I.e., 4 + 1 = 5 and the rounded number is 315,000.

Thus, the nearest thousand for the given number is 315,000.

Learn more about rounding place values here:

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