Question

Identify the two true statements below. Responses |6|=−6 absolute value of 6 is equal to negative 6 |−8|=8 absolute value of negative 8 is equal to 8 |9|=−9 absolute value of 9 is equal to negative 9 |52|=52 absolute value of 52 is equal to 52 −4=|4| negative 4 is equal to absolute value of 4 |−10|=−10

Answer 1

The two true statements about absolute values are: |-8| = 8 and |52| = 52. The absolute value of a number is always non-negative.

Step-by-step explanation:

The question at hand involves finding the true statements related to the properties of absolute values and basic arithmetic operations. To clarify, the absolute value of a number is its distance from zero on the number line, regardless of direction, and is always non-negative. Let's address each statement:

• |6| = -6: This is incorrect because the absolute value of 6 is +6.
• |-8| = 8: This is true because the absolute value of -8 is indeed 8.
• |9| = -9: This is incorrect as the absolute value of 9 is +9.
• |52| = 52: This is true as the absolute value of 52 is 52.
• -4 = |4|: This is incorrect because -4 is not equal to the absolute value of 4, which is +4.
• |-10| = -10: This is incorrect because the absolute value of -10 is +10.

Therefore, the two true statements are |-8| = 8 and |52| = 52.