A significant figure is the number of digits to the left of the decimal place from the right most non zero digit to the left most digit, or the number of digits from the right most digit to the right of the decimal place to the left most digit. So, 5748 to two significant digits is 5700
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(4.6 x 10)-7 x (7.2 x 1014)
1. All non-zero digits are always significant. 2. Zeroes between other significant figures are significant. 3. Trailing zeroes without a decimal point are not significant. 4. Trailing zeroes after a decimal point are significant. 5. Leading zeroes that come before a non-zero number are not significant. 1. 2598 has four significant figures. 2. 25005 has five significant figures. 3. 160 has two significant figures. 4. 45.800 has five significant figures. 5. 00.00589 has three significant figures.
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145.75+2.3*10^-1 145.75+0.23 145.98 As 2.3*10^-1 has two significant figures, our answer must have two significant figures 145.98 150 As the 5.98 rounds up to the nearest significant figure 1.5*10^2
32.6667