Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

try again (a) your answer is incorrect. answer the parts below. (a) plo…

Question

try again
(a) your answer is incorrect.
answer the parts below.
(a) plot -12 and 6 on the number line below.
(b) choose the correct statement.
-12 is located to the left of 6.
-12 is located to the right of 6.
(c) use <, >, or = to complete the statement.
-12 <6

Explanation:

Response
Part (a)

To plot -12 and 6 on the number line:

  • For -12: The number line has marks. Let's assume each small tick is 1 unit. Starting from 0, moving 12 units to the left (since it's negative) gives -12.
  • For 6: Starting from 0, moving 6 units to the right gives 6.

(Note: In the given number line, the first dot is likely misplaced; the correct position for -12 would be 12 units left of 0, and 6 is 6 units right of 0.)

Part (b)
Brief Explanations

On a number line, numbers increase from left to right. Negative numbers are to the left of 0, and positive numbers are to the right of 0. -12 is a negative number, 6 is positive. So -12 is to the left of 6.

Brief Explanations

Since -12 is to the left of 6 on the number line, and smaller numbers are to the left of larger numbers, we use the less than symbol. So -12 < 6.

Answer:

-12 is located to the left of 6.

Part (c)