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Question

A waste container can fill waste upto 500 g only.


After approximating their weights to the nearest hundred, which of the given waste bags can be put inside the container?

A
550 g
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B
582 g
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C
575 g
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D
534 g
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Solution

The correct option is D 534 g
Capacity of the waste container = 500 g

There are four waste bags with different capacity.
Let us round them off to the nearest hundreds to find out which container has 500 g of capacity.

For the nearest hundred, we compare the digit at tens with 5.
If the digit is less than 5, round down.
If the digit is 5 or higher, round up.


Let us now round off the weights of each waste bag to their nearest hundreds using the place value chart.

First bag has 534 g of capacity.


Rounding off 534 g to the nearest hundred gives 500 g which is the required capacity of the container.
Hence, this bag can be put inside the container.

Second container has 550 g of capacity.


Rounding off 550 g to the nearest hundred gives 600 g which is not the required capacity of the container.
So, this waste bag cannot be put inside the container.

Third waste bag has 575 g of capacity.


Rounding off 575 g to the nearest hundred gives 600 g which is not the required capacity of the container.
So, this waste bag cannot be put inside the container.

Fourth waste bag has 582 g of capacity.


Rounding off 582 g to the nearest hundred gives 600 g which is not the required capacity of the container.
So, this waste bag cannot be put inside the container too.

Since, the rounding off of 534 g to the nearest hundred gives 500 g, only the green-colored bag can be put inside the container.

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