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How to do Long Division With Remainders
Unlike other traditional algorithms used with addition, subtraction, and multiplication, the traditional algorithm used for division requires that students move left to right. The traditional division algorithm is very efficient to use and can be used with numbers of varying digit length.
Show students the new steps:
The steps are more or less the same, except for one new addition:
math shortcut for dividing a number by 25
First recall that dividing any number by a power of 10 is very easy: simply move the decimal point as many positions to the left as zeroes in the power of 10. For instance, 847 ÷ by 10 is just 84.7 (we moved the decimal point one place to the left) and 847 ÷ 100 = 8.47.
If you multiply a decimal by 10, the decimal point will move one place to the right. If you divide a decimal by 10, the decimal point will move one place to the left. If you multiply or divide by any power of 10, it will move a number of spaces equal to the number of 0’s.
“Two decimal places” is the same as “the nearest hundredth”. So, for example, if you are asked to round 3.264 to two decimal places it means the same as if your are asked to round 3.264 to the nearest hundredth. Some questions, like the example below, will ask you to “show your answer correct to two decimal places.”
If a number has a decimal point , then the first digit to the right of the decimal point indicates the number of tenths. For example, the decimal 0.3 is the same as the fraction 310 . The second digit to the right of the decimal point indicates the number of hundredths.
The first digit to the right of decimal point is in the tenths place. The second digit to the right of decimal point is in the hundredths place. The third digit to the right of decimal point is in the thousandths place. The fourth digit to the right of decimal point is in the ten thousandths place and so on.