1. Knowing Our Numbers Worksheet With Answers Page 13

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Example 22: Using the above mentioned procedure, estimate the following numbers to their
nearest hundreds.
(a) 374
(b) 143
(c) 3,421
(d) 46,785
Solution:
(a) In the number 374, the digit at tens place is 7 which is greater than 4. As per the
procedure, we need to replace digits at tens and ones place by 0 and add 1 to
hundreds place. Therefore, estimate of the given number to its nearest hundreds
is 400.
(b) In the number 143, the digit at tens place is 4 which is less than 5. As per the
procedure, we need to replace digits at tens and ones place by 0. Therefore,
estimate of the given number to its nearest hundreds is 100.
(c) In the number 3,421, the digit at tens place is 2 which is less than 5. As per the
procedure, we need to replace digits at tens and ones place by 0. Therefore,
estimate of the given number to its nearest hundreds is 3,400.
(d) In the number 46,785, the digit at tens place is 8 which is greater than 4. As per
the procedure, we need to replace digits at tens and ones place by 0 and add 1 to
the digit at hundreds place. Therefore, estimate of the given number to its nearest
hundreds is 46,800.
Estimation or Rounding Off the Numbers to the Nearest Thousands
Procedure:
Step 1: In the given number, examine the digit at hundreds place.
Step 2: If the digit at hundreds place is 0, 1, 2, 3, or 4, replace the digits at hundreds, tens and ones
place by 0 each and rest of the digits remain unchanged.
Step 3: If the digit at hundreds place is 5, 6, 7, 8 or 9, replace the digits at hundreds, tens and ones
place by 0 and add 1 to the digit at thousands place.
Example 23: Using the above mentioned procedure, estimate the following numbers to their
nearest thousands.
(a) 1,374
(b) 3,621
(c) 46,785
Solution:
(a) In the number 1,374, the digit at hundreds place is 3 which is less than 5. As per
the procedure, we need to replace digits at hundreds, tens and ones place by 0.
Therefore, estimate of the given number to its nearest thousands is 1,000.
(b) In the number 3,621, the digit at hundreds place is 6 which is greater than 4. As
per the procedure, we need to replace digits at hundreds, tens and ones place by
0 and add 1 to the digit at thousands place. Therefore, estimate of the given
number to its nearest thousands is 4,000.
(c) In the number 46,785, the digit at hundreds place is 7 which is greater than 4. As
per the procedure, we need to replace the digits at hundreds, tens and ones place
by 0 and add 1 to the digit at thousands place. Therefore, estimate of the given
number to its nearest thousands is 47,000.
Representation of Whole Numbers on a Number Line
To represent whole numbers on a number line, follow these steps.
·
Draw a straight line.
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