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The average cost to install new flooring is around $3,162, with a typical price range between $1,530 and $4,860. On a per-square-foot basis, you can expect to pay an average of $3 to $22, including installation. Several factors influence the total price, including the flooring material, project size, geographic location, and any special features. Material choice is a significant cost driver; vinyl plank, linoleum, and carpet are on the lower end ($3 to $7 per square foot), while stone, tile, and hardwood are more expensive, with hardwood reaching up to $22 per square foot. Prices can also vary by region, and installing flooring on stairs will add to the cost, typically ranging from $11 to $160 per step.

Carpeting has a few benefits on stairs in addition to being a cost-effective floor covering. It absorbs sound, dampening footsteps. It also provides additional traction, which is especially important if you install linoleum floors, epoxy flooring, or any other floor covering that can become slippery if you’re wearing socks. Therefore, carpets can help prevent slips. 

To prevent your dining room carpet from slipping, consider using rug pads or grippers underneath to provide traction and stability. Additionally, ensure the carpet is properly sized and secured to the floor to minimize movement. Regularly check and readjust the rug to maintain its position and safety under your dining room table.

In most cases, you do not need to put padding or underlayment under carpet tiles. Unlike traditional carpet, which requires a separate pad, carpet tiles are designed to be installed directly onto a firm subfloor like plywood, concrete, or tile. Many carpet tiles come with a built-in underlay and attach with peel-and-stick adhesive, double-sided carpet tape, or glue. For a more comfortable, cushioned feel, especially in residential settings, you can opt for padded carpet tiles that have a thicker underlay attached. While it's generally not recommended to install a separate pad, a compact underlayment might be used in some situations, though this typically requires professional installation. An acoustic underlay may also be considered in commercial spaces or multi-level homes where noise reduction is a priority.