Download Division of Decimals by Decimals

Division of Decimals by Decimals
The procedure for the division of decimals is very similar to the division of whole
numbers. Make the divisor into a whole number by multiplying both it and the
dividend by the same number (such as 10, 100, 1000 etc.). An easy way to do this
is to move the decimal point to the right end of the divisor and move the decimal
point of the dividend the same number of places.
How to divide a four digit decimal number by a two digit decimal number (e.g
0.4131 ÷ 0.17).

Place the divisor before the division bracket and place the dividend
(0.4131) under it.
0.17)0.4131

Multiply both the divisor and dividend by 100 so that the divisor is
not a decimal but a whole number. In other words move the decimal
point two places to the right in both the divisor and dividend
17)41.31

Proceed with the division as you normally would except put the
decimal point in the answer or quotient exactly above where it
occurs in the dividend. For example:
2.43
17)41.31
Exponents and Square Roots
An exponent is a number that tells how many times the base number
is used as a factor. For example, 34 indicates that the base number 3
is used as a factor 4 times. To determine the value of 34, multiply
3*3*3*3 which would give the result 81.
If a negative number is raised to an even power, the result will be
positive.
(-2)4 = -2 * -2 * -2 * -2 = 16
If a negative number is raised to an odd power, the result will be
negative.
(-2)5 = -2 * -2 * -2 * -2 * -2 = -32
The negative number must be enclosed by parentheses to have the
exponent apply to the negative term.
Note that (-2)4 = -2 * -2 * -2 * -2 = 16
and -24 = -(2 * 2 * 2 * 2) = -16
Exponents are written as a superscript number (e.g. 34) or preceded
by the caret (^) symbol (e.g. 3^4).
Some facts about exponents:




Zero raised to any power is zero (e.g. 05 = 0)
One raised to any power is one (e.g. 15 = 1)
Any number raised to the zero power is one (e.g. 70 = 1)
Any number raised to the first power is that number (e.g. 71 =
7)
To “unsquare” a number means to find a number that, when
multiplied by itself, gives you the original number. Unsquaring a
number is also called finding the square root (symbol √ ).
Example: √9 is 3, because 32 (or 3 * 3) = 9.
Multiplication of Two and Three Digit Numbers
Example: 529 * 67
Step 1: Place one number above the other so that the hundreds', tens' and ones' places are
lined up. Draw a line under the bottom number.
Step 2: Multiply the two numbers in the ones' places. (9 * 7 = 63). This number is larger
than 9 so place a 6 above the tens' place column and place 3 below the line in the ones'
place column.
6
529
67
3
Step 3: Multiply the digit in the top tens' place column (2) by the digit in the lower ones'
place column (7). The answer (2*7=14) is added to the 6 above the top tens' place column
to give an answer of 20. The 0 of 20 is placed below the line and the 2 of the 20 is placed
above the hundreds' place column.
26
529
67
03
Step 4: The hundreds' place of the top number (5) is multiplied by the ones' place of the
multiplier (5*7=35). The two that was previously carried to the hundreds' place is added
and the 37 is placed below the line.
26
529
67
3703
Step 5: After 529 has been multiplied by 7 as shown above, 529 is multiplied by the tens'
place of the multiplier which is 6. The number is moved one place to the left because we are
multiplying by a tens' place number. The result would be 3174:
15
529
67
3703
3174
Step 6: A line is drawn under the lower product (3174) and the products are added
together to get the final answer of 35443.
15
529
67
3703
3174
35443