Question

# Estimate the difference between 9438 – 4519 to nearest hundred, and check the reasonableness.

- reasonable
- not reasonable
- undefine
- not possible

Hint:

### First round off the numbers to nearest 100 and then perform subtraction and then compare.

## The correct answer is: reasonable

Step 1 : Round Off ;

if last 2 digits are more than or equal to 50, round off to nearest hundred greater than number .

if last 2 digits are less than 50, round off to nearest hundred smaller than number.

9438 rounds off to 9400.

4519 rounds off to 4500.

Step 2 : Perform Subtraction

9400 - 4500 = 4900

4900 is very close to actual result with a difference of about 1% so it is, reasonable.

### Related Questions to study

### Estimate the sum of 7300 + 5315 nearest to hundred and then check that the answer is reasonable or not.

Step 1 : Round Off ;

if last 2 digits more than or equal to 50 round off to nearest hundred greater than number.

if last 2 digits less than 50 round off to nearest hundred smaller than number.

5315 rounds off to 5300.

7300 rounds off to 7000.

Step 2 : Perform Addition

5300 + 7000 = 12,300 ;

12300 is very close to actual sum with a difference of less than 1% so it is , **reasonable.**

### Estimate the sum of 7300 + 5315 nearest to hundred and then check that the answer is reasonable or not.

Step 1 : Round Off ;

if last 2 digits more than or equal to 50 round off to nearest hundred greater than number.

if last 2 digits less than 50 round off to nearest hundred smaller than number.

5315 rounds off to 5300.

7300 rounds off to 7000.

Step 2 : Perform Addition

5300 + 7000 = 12,300 ;

12300 is very close to actual sum with a difference of less than 1% so it is , **reasonable.**

### The difference of 516 and 140 using front-end estimation is ________.

Step 1 :

In 516, five is the first number and in 140, 1 is first number or front number so simply add them.

5 - 1 = 4 as they are at hundredth place so 400

next , 16 to nearest hundred is 0 and 40 to nearest 100 is 0 .

0 - 0 = 0 ;

Step 2 :

add all estimations 400 + 0 ;

So , 400 is our final answer.

### The difference of 516 and 140 using front-end estimation is ________.

Step 1 :

In 516, five is the first number and in 140, 1 is first number or front number so simply add them.

5 - 1 = 4 as they are at hundredth place so 400

next , 16 to nearest hundred is 0 and 40 to nearest 100 is 0 .

0 - 0 = 0 ;

Step 2 :

add all estimations 400 + 0 ;

So , 400 is our final answer.

### There are 479 girls and 729 boys in a school. Estimate the total number of students in the school.

### There are 479 girls and 729 boys in a school. Estimate the total number of students in the school.

### The difference of 587 and 222 using front -end estimation is ________.

### The difference of 587 and 222 using front -end estimation is ________.

### The sum of 730 + 450 using front – end estimation is______.

### The sum of 730 + 450 using front – end estimation is______.

### The number of students in Classes III, IV and V are 155,139 and 118. Estimate the total number of students in the three classes taken together.

### The number of students in Classes III, IV and V are 155,139 and 118. Estimate the total number of students in the three classes taken together.

### The school library has 285 science books and 268 social science books. Estimate the difference in the number of books.

### The school library has 285 science books and 268 social science books. Estimate the difference in the number of books.

### The sum of 440 and 560 using front – end estimation is ______.

### The sum of 440 and 560 using front – end estimation is ______.

### Estimate the difference of 8351 – 2774 to the nearest hundred.

### Estimate the difference of 8351 – 2774 to the nearest hundred.

### Estimate the sum of 2397 and 5668 to the nearest hundred.

### Estimate the sum of 2397 and 5668 to the nearest hundred.

### Estimate the difference of 3816 and 1458 to the nearest hundred.

### Estimate the difference of 3816 and 1458 to the nearest hundred.

### Estimate the sum of 975 and 778 to the nearest hundred.

### Estimate the sum of 975 and 778 to the nearest hundred.

### Estimate the sum of 5786 and 2126 to the nearest thousands.

Step 1 : Round Off ;

if last three digits are more than or equal to 500 round off to nearest thousand greater than number.

5786 rounds off to 6000.

if last three digits less than 500, then round off to nearest thousand smaller than number.

2126 rounds off to 2000.

Step 2 : Perform Addition

6000 + 2000 = 8000 ;

So , 8000 is our estimated sum .

### Estimate the sum of 5786 and 2126 to the nearest thousands.

Step 1 : Round Off ;

if last three digits are more than or equal to 500 round off to nearest thousand greater than number.

5786 rounds off to 6000.

if last three digits less than 500, then round off to nearest thousand smaller than number.

2126 rounds off to 2000.

Step 2 : Perform Addition

6000 + 2000 = 8000 ;

So , 8000 is our estimated sum .

### Estimate the difference between 7123 and 3678 to the nearest thousands.

Step 1 : Round off

If last 3 digits are less than 500 than round off to nearest 1000 less than the number .

so, 7123 rounds off to 7000 .

If last 3 digits are greater than or equal to 500 than round off to nearest 1000 greater than the number.

so, 3678 rounds off to 4000 .

Step 2 : On performing subtraction

7000 - 4000 = 3000 ;

So, 3000 is our estimated answer.

### Estimate the difference between 7123 and 3678 to the nearest thousands.

Step 1 : Round off

If last 3 digits are less than 500 than round off to nearest 1000 less than the number .

so, 7123 rounds off to 7000 .

If last 3 digits are greater than or equal to 500 than round off to nearest 1000 greater than the number.

so, 3678 rounds off to 4000 .

Step 2 : On performing subtraction

7000 - 4000 = 3000 ;

So, 3000 is our estimated answer.

### The leading digit in 8574 is ________.

Here, 8 is the first digit as well as non-zero number, so leading digit in 8754 is 8 .

### The leading digit in 8574 is ________.

Here, 8 is the first digit as well as non-zero number, so leading digit in 8754 is 8 .