Use properties of exponents to rewrite the following expressions as a number or an exponential expression with
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- 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
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.
<u>Place Value Chart</u>
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.
<u>Area Model</u>
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.
- The example of a question about the four types of number form 770,070 brainly.com/question/4725342
- 2 thousands 7 tens divided by 10 brainly.com/question/1648434
- What is the difference in the value of 7 at 67,908 and 76,908 in the unit form? 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
