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.
when you are taking (4/10) and dividing it by 2. you have a fraction over a fraction. if you remember what you do to the top part of the equation you do to the bottom. so we want to get rid of dividing by 2. (multiple by the reciprocal) the reciprocal of 2 is 1/2. that will cancel out the bottom part of the equation but what you do to the bottom you have to do to the top. so, (4/10) * 1/2 is the same as (4/10) divided by 2. hope that makes sense. it's much easier to write out then type math...
