Natalie is using colored tiles to help her add integers. She is using black tiles to represent positive numbers and white tiles to represent negative numbers. What number sentence is Natalie modeling with the tiles?

Responses

There is not enough information given to provide a specific number sentence that Natalie is modeling with the tiles.

Natalie is using colored tiles to help her add integers. She is using black tiles to represent positive numbers and white tiles to represent negative numbers. What number sentence is Natalie modeling with the tiles?

A 4 + (-5) = 94 + (-5) = 9
B 4 - (5) = -14 - (5) = -1
C 5 - (-4) = 95 - (-4) = 9
D 5 + (-4) = 1

D 5 + (-4) = 1

Evaluate.

−3 + 5 + (−5) +12
Responses

−3 + 5 + (−5) + 12 = -3 + 5 - 5 + 12

= -3 (5 - 5) + 12

= -3 (0) + 12

= 0 + 12

= 12.

Therefore, −3 + 5 + (−5) + 12 = 12.

The absolute value of a number is

Responses
A negative for a positive number.negative for a positive number.
B the nearest integer to a number.the nearest integer to a number.
C usually positive.usually positive.
D how far a number is from zero.how far a number is from zero.
E the square root of a number

D how far a number is from zero.

Which two numbers are 4 units away from 0 in any direction on the number line?

Responses
A 4 and -44 and -4
B 9 and - 99 and - 9
C 4 and 84 and 8
D 2 and -22 and -2
E 0 and 4

E 0 and 4.

To determine the number sentence Natalie is modeling with the tiles, we need to understand the relationship between the colors of the tiles she is using and the corresponding positive and negative numbers.

Natalie is using black tiles to represent positive numbers and white tiles to represent negative numbers. This tells us that the positive numbers are being represented by black tiles, and the negative numbers are being represented by white tiles.

Now let's think about how addition works for positive and negative numbers. When we add two positive numbers, the result is a positive number. When we add two negative numbers, the result is also a negative number. However, when we add a positive number and a negative number, the result could be either positive or negative, depending on the values of the numbers.

With this information, we can conclude that Natalie is modeling addition of integers with the help of colored tiles. The positive numbers are represented by black tiles, the negative numbers are represented by white tiles, and she is adding these numbers together.

Therefore, the number sentence Natalie is modeling with the tiles could be written as:

(Positive number) + (Negative number) = (Either positive or negative number, depending on the values)