Question

# Remo drove his motorcycle 325 miles on Friday, 119 miles on Saturday and 465 miles on Sunday. The best estimate of the number of miles he drove over the 3 days is_______.

- 1000
- 900
- 800
- 700

Hint:

### The front end estimation of a number means regarding off the number to the nearest thousands/hundreds/tens or whatever be the place value of the leading digit of the number.

## The correct answer is: 900

### Here, we have to find the number of miles Remo drove his motorcycle over the 3 days given that he drove 325 miles on friday, 119 miles on Saturday and 465 on Sunday.

Since, all the three distances are in hundreds. So we have to round off to nearest hundreds.

On Friday, Distance driven = 325 miles

325 miles rounded off to nearest hundred in 300 miles.

On Saturday, Distance driven= 119 miles

119 miles rounded off to nearest hundred is 100 miles.

On Saturday, Distance driven = 465 miles

465 miles rounded off to nearest hundred is 500 miles.

So, Total distance driven by Remo over the three days

300 + 100 + 500

= 900 miles

Hence, the correct option is B

We can also add all the 3 distance at first and then use front end estimation.

Here, 325 + 119 + 465 = 909 which when rounded off to nearest hundred gives 900.

### Related Questions to study

### 54 + 23=_____.

Add the digits of the same place value of all numbers and write the resultant.

### 54 + 23=_____.

Add the digits of the same place value of all numbers and write the resultant.

### The leading digit in 2534 is ________.

In the question, we need to find the leading digit of the number. The first digit of the number is the leading digit.

### The leading digit in 2534 is ________.

In the question, we need to find the leading digit of the number. The first digit of the number is the leading digit.

### Round the number 265 to the nearest hundred.

last two numbers in 265 is 65 and 65 is greater than equal to 50 so, round off to nearest hundred greater than 265.

So, 265 rounds off to 300.

### Round the number 265 to the nearest hundred.

last two numbers in 265 is 65 and 65 is greater than equal to 50 so, round off to nearest hundred greater than 265.

So, 265 rounds off to 300.

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

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.

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

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.

### 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.