expanded form
Decimal
Expanded form
If the exponent is positive, you move the decimal point to the right, the specified number of digits. For a negative exponent, you move it to the left. In either case, you fill out missing digits with zero. Examples (using "^" for power):3.448 x 10^1 = 34.485 x 10^6 = 5000000 (note the implied decimal point to the right of the number)3 x 10^-3 = 0.003
For positive powers: The rule is to move the digits in the place value columns left (for multiplication) or right (for division) the same number of columns as the power of 10. However, on paper this is not easy to do so the effect on the decimal point relative to the digits is used instead: move the decimal point the same number of digits right (for multiplication) or left (for division); if there are less digits than required to be moved, insert zeros until the decimal point has moved the required number of digits. If the power is negative reverse the direction of movement (eg with moving the decimal point, to multiply move the decimal point left and divide by moving the decimal point to the right).
It is a decimal fraction.
Digits after (to the right of) the decimal point contribute to the accuracy of the number, not its magnitude (or size). So only the digits to the left of the decimal point contribute to the magnitude. Digits after (to the right of) the decimal point contribute to the accuracy of the number, not its magnitude (or size). So only the digits to the left of the decimal point contribute to the magnitude. Digits after (to the right of) the decimal point contribute to the accuracy of the number, not its magnitude (or size). So only the digits to the left of the decimal point contribute to the magnitude. Digits after (to the right of) the decimal point contribute to the accuracy of the number, not its magnitude (or size). So only the digits to the left of the decimal point contribute to the magnitude.
a is a number with one or more digits to the right of a decimal point.
Decimal
You need to add up the number of digits to the right of the decimal to find the number of digits in the answer. If the first factor has 2 digits to the right of the decimal point and the second factor has 3, the final answer will have 5 digits to the right of the decimal point.
It is a decimal fraction.
The decimal part of a number are those digits to the right of the decimal point. In this case 5
It is a decimal fraction.
A real number. Or, the decimal representation of a real number.
The digits to the right of the decimal point. Ex: if you are given a number 283.7703, the decimal portion would be 7703.
Expanded form
The number of significant figures in a number is equal to the number of digits to the left of the decimal point up to the first leading zero. It is then added to the number of total digits to the right of the decimal point. In this case, there are six significant digits.
The decimal point is important, when dealing with money, because it differentiates $500 from $5.00. After the decimal point there will be two digits, these two digits are the number of cents (in America). The number in front of the decimal point is the number of dollars. It is very important that you put the decimal point in the right spot especially when writing checks.