are zeros after decimal significant?
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If a zero is found between significant digits, it is significant. Zeros can be used as (insignificant) place holders to the left of significant digits if the number is a decimal. For example, a mass of 42 g has two significant digits.
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We round a number to three significant figures in the same way that we would round to three decimal places. We count from the first non-zero digit for three digits. ... 0.0020499 to three significant figures is 0.00205. We do not put any extra zeros in to the right after the decimal point.
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Therefore, when decimals are compared start with tenths place and then hundredths place, etc. If one decimal has a higher number in the tenths place then it is larger than a decimal with fewer tenths. If the tenths are equal compare the hundredths, then the thousandths etc.
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Trailing zeros (the right most zeros) are significant when there is a decimal point in the number. For this reason it is important to give consideration to when a decimal point is used and to keep the trailing zeros to indicate the actual number of significant figures.
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If you see 6 lakhs as a number then there are 5 zero's. But if you consider this as numerical expression then there will be different answers.
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If a zero is found between significant digits, it is significant. Zeros can be used as (insignificant) place holders to the left of significant digits if the number is a decimal. For example, a mass of 42 g has two significant digits. Expressed in kilograms, the mass of 0.042kg should still have two significant digits.
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Some rationals, however, when written in decimal form don't stop a few places after the decimal. For example 1/3 = 0.333..., 10/11 = 0.909090... and 3/13 = 0.230769230769...
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Equivalent decimals are any decimal numbers that are equal. Decimal models show how equivalent decimals fill up the same amount of the whole. Any number of zeros (0) to the right of the last digit other than zero (1-9) is an equivalent decimal to the same decimal number without the zeros.
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When looking at decimal expansions, don't think of it as a number after the decimal point, but look at each place by itself. ... 125, don't look at "25" and "125", look at the first decimal location, then the second, then the third... so, 2 is bigger than 1, so . 25 is bigger than .
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When you add or subtract, you assign significant figures in the answer based on the number of decimal places in each original measurement. When you multiply or divide, you assign significant figures in the answer based on the smallest number of significant figures from your original set of measurements.
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When zero is added to any number, it does not change the value. The multiplicative identity is 1. When one multiplies any number, it does not change the value.
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0.12 is a decimal and 12/100 or 12% is the percentage for 12/100.
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['Non-zero digits are always significant.', 'Any zeros between two significant digits are significant.', 'A final zero or trailing zeros in the decimal portion ONLY are significant.']
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The integer and fraction parts both consist of a sequence of decimal (base ten) digits. Either the integer part or the fraction part (not both) can be omitted; either the decimal point or the letter e (or E ) and the exponent (not both) can be omitted. So yes, 0.5 and . 5 are equivalent.
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But what's the difference between decimal places and significant figures? When rounding to a specified number of significant figures, the process is similar to that of rounding to a number of decimal places. But the difference is that any leading zeros do not count as significant figures.
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For example, 91 has two significant figures (9 and 1), while 123.45 has five significant figures (1, 2, 3, 4 and 5). Zeros appearing anywhere between two non-zero digits are significant: 101.1203 has seven significant figures: 1, 0, 1, 1, 2, 0 and 3. ... For example, 0.00052 has two significant figures: 5 and 2.
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The trailing zeros do not count as significant. Trailing zeros in a number containing a decimal point are significant. For example, 12.2300 has six significant figures: 1, 2, 2, 3, 0, and 0. The number 0.000122300 still has only six significant figures (the zeros before the 1 are not significant).