Hello there! The standard form of 7,000 + 300 + 40 + 2 would be 7,342. To explain, we can start by defining place values and identifying why the standard form is 7,342.
What are place values?
Place values are representative digit placeholders of numbers that, when adding a 0 behind them, can show a true value. In this problem, four place values are used to show the expanded variant of 7,342. We know this is the standard form because there are four digits that are to the left of the decimal point; 7 is in the thousands place, which as a number converts to 7 x 1,000. When multiplying 7 by 1,000, we will find that we receive 7,000. Because the thousands place is four digits to the left of the decimal point and can only be a placeholder for one number at a time, we say that 7 represents this number’s thousands digit. 3 is in the hundreds place, meaning that we can find its value through multiplication of 3 by 100. 3 x 100 is 300, and we can use 3 as the representative of the hundreds place. The same rule applies for 4; it is in the hundreds place and can be verified by multiplying 4 by 10. 4 x 10 is 40, and we can leave the 4 out because it is the only value other than 0. And lastly, there is 2. 2 is in the ones place, and it can be left alone because anything multiplied by one equals the number that was multiplied by one. Given this multiplication rule, 2 x 1 = 2. We can leave 2 alone. Adding 7,000, 300, 40, and 2 gives us 7,342 as our total. If you need any extra help, let me know and I will gladly assist you.
We have to select the option which is not the condition of a Tessellation.
A tessellation is a regular pattern made up of shapes that perfectly fit together or we can say it is an arrangement of shapes closely fitted together, especially of polygons in repeated pattern with no overlaps and no gaps.
A tessellation use repeated shapes to completely cover a plane with no overlaps or gaps.
Daily life examples of tessellation are honey combs, to man-made objects, like architecture and quilts.
A tessellation can use one or more geometric shapes. Hence, from the given options only the first option is not a condition for tessellation.
A. $40, because you would do 1,000 × 1.04 = $1,040, and then subtract the original $1,000. b. $81.60, because 1,000 × 1.04² = 1,081.6 c. $480.24, because 1,000 × 1.04^10 = 1,480.24. I have used the formula for compound interest presuming you were aware of it, but I will be happy to explain what I did if you want :). I hope this helps!
