## What is the rule for adding integers with the same sign?

There are two cases to consider when adding integers. When the signs are the same, you add the absolute values of the addends and use the same sign. When the signs are different, you find the difference of the absolute values and use the same sign as the addend with the greater absolute value.

## How can you use chips to determine the sum?

Place chips on the board to represent each addend. If the integer is positive, place that number of black chips on the board. If the integer is negative, place that number of red chips on the board. If the two integers being added have the same sign, the sum is the total number of chips on the board.

## How do you do zero pairs?

If you move to the left, you are decreasing, or subtracting, and if you move to the right, you are increasing, or adding. When you have a positive number and you combine it with a negative number of the same amount, it will equal zero and this is called a zero pair.

## What is the chip model?

The chip model uses one color of chips (black) to represent positive integers and another color (red) to represent negative integers. Because each chip represents 1 unit, either positive or negative, a red chip and a black chip are thought of as opposites. Combining two opposite chips makes zero.

## What does zero pairs mean?

zero pairs. • a pair of numbers whose sum is zero, e.g. +1, -1. • used to illustrate addition and subtraction problems. with positive and negative integers.

## Is it possible for more than one pair of tiles to form a zero pair?

Infinite. Starting with 3 red tiles, as many zero pairs can be added as you wish.

## What is a zero pair example?

Remember that each member of a pair of numbers such as –3 and 3 is called the opposite of the other number. The pairs are also called “zero pairs” because their sum is zero. Example: In one game, you scored 9 points. Then, you made mistakes that lost 3 points.

## What’s an example of a zero pair?

A red and a blue tile together make zero. This is called a zero pair. Because zero pairs have a value of zero, they do not affect the value of other groups of tiles.

## What does tile mean in math?

A tiling or tessellation of a flat surface is the covering of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern.

## How do you solve equations with algebra tiles?

To use algebra tiles to model an equation, we place the relevant number of variable rectangle tiles and number square tiles for the left side of the equation and for the right side of the equation. Then we play around with our tiles so that we end up with the rectangle tiles by themselves on one side.

## What shape Cannot tile a plane?

A convex polygon with seven or more sides cannot tile the plane.

## What is tiling a field?

Field tile is tubing or pipe buried in the ground to convey subsurface water to an outlet such as a stream or ditch. Farmers install tile in agricultural fields to make the soil conditions more uniform, dry up wet spots, reduce erosion and prevent crop roots from rotting during wet periods.

## How much does tiling a field cost?

Intensive tile installation may cost $800 to $1000 per acre. There are two common ways that modern subsurface drainage systems are installed. The most basic approach is placing a single random line to drain a specific wet area in a field.

## How deep should drain tile be buried?

6 feet

## How do you install a field drain?

How do you install a French drain?

- Step 1: Dig a trench wider than your pipe at a gradient.
- Step 2: Lay a water-permeable landscape fabric in the trench.
- Step 3: Fill the bottom of the trench with aggregate.
- Step 4: Lay the perforated pipe.
- Step 5: Place more aggregate into the trench.