Question

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

Answer 1

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

Further 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.

$\boxed{ \ 7 \times 2.6 = 18 \ ones \ plus \ 2 \ tenths = \boxed{ \ 18.2 \ } \ }$

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.

$\boxed{ \ 7 \times 2.6 = 14 + 4.2 = \boxed{ \ 18.2 \ } \ }$

Learn more

1. The example of a question about the four types of number form  770,070 https://brainly.com/question/4725342
2. 2 thousands 7 tens divided by 10 https://brainly.com/question/1648434
3. What is the difference in the value of 7 at 67,908 and 76,908 in the unit form? https://brainly.com/question/120717

Keywords: Miles, incorrectly, gave the product of, 7 x 2.6 as 14.42, a place value chart, an area model, understand his mistake, 18.2, ones, tenths, dots, column