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Do You Understand? 1. How can you use grids to represent \( \$ 4.71 \) ?

Ask by Greene Ellis. in the United States
Mar 02,2025

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Answer

To represent $4.71 on a grid, use a 10×10 grid for each dollar. Fill four complete grids for the 4 dollars and shade 71 out of 100 squares in a fifth grid for the 71 cents.

Solution

One clear way to represent $4.71 on a grid is to break the amount into whole dollars and cents and then use a grid to show the fractional (cents) part. Here’s a step‐by‐step explanation: 1. Recognize that $4.71 is composed of 4 whole dollars and 71 cents. 2. Decide on a grid that makes sense. A common method is to use a square divided into 100 equal smaller squares (for example, a 10×10 grid) to represent 1 dollar. In this grid, each small square represents 1 cent. 3. For the 4 whole dollars, you can show four complete grids (each with 100 small squares completely filled in). Each of these grids represents $1.00. 4. For the 71 cents, use a fifth grid (again, a 10×10 grid representing one dollar), but only fill in 71 of its 100 small squares. By doing this, you visually represent the entire amount: four full grids (4 dollars) plus one partially filled grid (71% of a dollar). This grid visualization makes the concept of dollars and cents concrete and helps bridge the gap between a whole number and a decimal value.

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Grids can be a fun way to visually represent money values! For \( \$ 4.71 \), you can use a grid of 100 squares, where each square represents \( 1 \) cent. That means you would fill in \( 471 \) squares—\( 400 \) for the \( 4 \) dollars and \( 71 \) for the cents—leaving \( 29 \) squares blank. This visual representation makes it easy to see how much money you have! You can also break it down by using smaller grids or different denominations. For instance, you could use a grid for the dollar bills with \( 4 \) filled squares for the \( 4 \) dollars, and another 10x10 grid for the cents, filling \( 7 \) squares for the \( 70 \) cents, and \( 1 \) more for the \( 1 \) cent. This way, you'll have a clear visual representation of both whole dollars and cents!

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