Miles incorrectly gave the product of 7 × 2.6 as 14.42. use a place value chart or an area model to miles understand his mistake.

Place value chart: 7 x 2.6 = 18 ones plus 2 tenths = 18.2Area model: 7 x 2.6 = 14 + 4.2 = 18.2Further explanation

Miles incorrectly gave the product of 7 x 2.6 as 14.42.

Let us use a place value chart or an area model to help Miles understand his mistake.

See the attached picture for the place value chart and area model.

Place Value Chart

7 x 2.6 is the same as 7 multiplied by 2 ones and 6 tenths. In other words, we see clearly that 7 multiplied by 2 plus 7 multiplied by 0.6.

We prepare two columns of ones and tenths separated by dots.In the ones column, place two dots on each row until it reaches 7 rows. This means 7 times 2 equal to 14 dots.In the tenth column, place six dots on each row until it reaches 7 rows. This means 7 times 0.6.In the tenth column, every time it reaches 10 dots, it becomes 1 ones which are added to the dots in the ones column.There are 4 additional dots in the ones column as a result of each 10 dots in the tenth column. We add 14 dots with 4 dots and the result is 18 ones.The remaining dots in the tenth column will be added with all the dots in the ones column. There are two dots left so that it becomes 2 tenths.

Area Model

7 x 2.6 is the same as 7 multiplied by 2 ones and 6 tenths.

Let 2 ones and 6 tenths as the length and 7 as the width of a rectangle.7 x 2 ones = 14 ones or 14.7 x 6 tenths = 42 tenths or 4.2.The area of the rectangle is 14 ones plus 42 tenths, or 14 plus 4.2.

Learn moreThe example of a question about the four types of number form  770,070 2 thousands 7 tens divided by 10 What is the difference in the value of 7 at 67,908 and 76,908 in the unit form?

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