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What do you do if the decimal point is in the dividend?
Divide as normal, but make sure to place the decimal point in the quotient directly above the decimal point in the dividend.
How does the position of the decimal point change in a quotient as you divide by increasing powers of 10?
The decimal point moves to the left.
How can estimating the product help you place the decimal point?
Ex: 52.73 x 384.12 Round to 50 x 400 = 20,000 so when you do the actual math you know that there are 5 places to the left of the decimal.
If you have to round a quotient to the nearest hundredth what place do you need to divide?
You just continue to do the division, until you calculate the third digit after the decimal point. Then you round.
What happens to the decimal point in the quotient when the dividend is increased 1000 times but the divisor remains unchanged?
The decimal point moves 3 places to the right.
What do you do if the decimal point is in the dividend?
Divide as normal, but make sure to place the decimal point in the quotient directly above the decimal point in the dividend.
Why is estimating important when dividing with decimals?
Using an estimate ensures that the answer is about right. With decimals where the decimal point should go is difficult for a lot of people, so an estimate of the answer ensures that it is put in the right place.
How can estimating products help you to place a decimal correctly?
By estimating the product it gives an indication of how big the final answer should be; knowing this, the decimal point can be put in to give an answer of the correct size. For example if the product estimate is 125 and the actual answer (without the decimal point) is 136728, then the decimal point needs to be inserted to make the answer about 125; the place is therefore after the 136, making the answer 136.728 (= 5.4 x 25.32 ≈ 5 x 25 = 125)
How can you use estimation to place the decimal point in the quotient 42.56 divided by 22?
44/22 = 2 so the decimal point should be placed after the first digit (which is a 1).
How can estimating quotients help you place the decimal correctly?
Estimating quotients gives an indication of the order of magnitude of the answer. That is, whether the answer is in units, or tens, or hundreds, thousands and so forth. Basic understanding of the placement of the decimal point should then be a trivial exercise.
How do you divide with decimals in the dividend?
Put the decimal point for the quotient exactly above the decimal point in the dividend. Then forget about it, and just keep your digits lined up as you do the division. The decimal point winds up exactly where it belongs in the quotient.
In witch place would you write the first digit of the quotient for 2.682 divided by 4?
0.6705
How does the position of the decimal point change in a quotient as you divide by increasing powers of 10?
The decimal point moves to the left.
How does the position of the decimal point change in a quotient as you divide by increasing powers of ten?
With each increase in the power of ten, the decimal point moves one place to the left. You may have to insert os immediately after the decimal point to maintain that shift.
In which place would you write the first digit of the quotient for 2.682 divided by 4?
0.6705
How do you place the decimal point in the quotient when dividing a decimal by a whole number?
The decimal point goes in the quotient the moment you reach the decimal point in the dividend and need to use the digit in the tenths column. When using the "Bus stop" method, the digits will line up so that the decimal point goes in the quotient directly above the decimal point in the dividend.Using the Bus stop method, it is easiest to put the decimal point in the quotient above the decimal point in the dividend first (before any any division calculation is done) and then do the division by ignoring the decimal points and putting digits in the quotient as normal; except if once all the digits of the dividend have been used there is a non-zero remainder, zeros can be added to the end of the dividend as they are trailing zeros after a decimal point which make no difference to the number.eg dividing 1.2 by 5:First place the decimal point in the quotient over the decimal point in the dividend:_____.___------5_|_1.2Now divide as normal:____0.2__------5_|_1.2____1 0____----______2Used up all the digits of the dividend but have a remainder, so add trailing zeros after the decimal point and finish the division:____0.24__--------5_|_1.2000____1 0____----______20______20______---_______0Only needed one extra 0, but it did not hurt putting three of them.→ 1.2 ÷ 5 = 0.24Sometimes the decimal may recur or not terminate; in that case, stop when the required level of accuracy is reached (rounding by calculating a further digit and using that as the deciding digit).
How can estimating the product help you place the decimal point?
Ex: 52.73 x 384.12 Round to 50 x 400 = 20,000 so when you do the actual math you know that there are 5 places to the left of the decimal.
