More and Less Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Insert <<, >>, or == between each pair: (a) โˆ’5-5 ___ โˆ’2-2, (b) 00 ___ โˆ’1-1.

Solution

  1. 1
    (a) On the number line, โˆ’5-5 is to the left of โˆ’2-2, so โˆ’5<โˆ’2-5 < -2.
  2. 2
    (b) 00 is to the right of โˆ’1-1, so 0>โˆ’10 > -1.

Answer

(a)โ€…โ€Šโˆ’5<โˆ’2(b)โ€…โ€Š0>โˆ’1(a)\; -5 < -2 \qquad (b)\; 0 > -1
The number line makes comparisons visual: left means less, right means greater. Zero is greater than every negative number. A common error is thinking that โˆ’5>โˆ’2-5 > -2 because 5 > 2 โ€” but the negative sign flips the order.

About More and Less

Comparing two quantities to determine which is greater, which is smaller, or whether they are equal.

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