Question Video: Ordering Rational Numbers

Order the following numbers from least to greatest: 10, −3.75, −4 1/2, 5.3, −6, −4, 0.

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Video Transcript

Order the following numbers from least to greatest: 10, negative 3.75, negative four and a half, 5.3, negative six, negative four, and zero.

In order to answer this question, let’s consider a number line from negative 10 to positive 10. The numbers zero and 10 are already labeled on the number line. The only other positive number is 5.3. This will lie slightly past halfway between zero and 10 as halfway between them would be five. The other four values, negative 3.75, negative four and a half, negative six, and negative four, lie between zero and negative 10.

Placing on our integer or whole number values, we can see that negative six is smaller than negative four. Negative 3.75 is closer to zero than negative four. Therefore, it is greater than negative four and lies to the right. Negative four and a half or negative 4.5 is less than negative four and lies to the left of this. We can therefore see that the correct order from least to greatest of the negative numbers is negative six, negative four and a half, negative four, and then negative 3.75. The next number is zero. The positive numbers from least to greatest are 5.3 and 10.

The order of the seven numbers from least to greatest is negative six, negative four and a half, negative four, negative 3.75, zero, 5.3, and 10.

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