Sample problems around numbers to significant digits
1. Perform the following calculations and round your answer to the appropriate number of significant digits:
a. 145.789 + 32.6
b. 0.0323 x 4.56
c. 78.23 / 5.4
2. Calculate the following and express your answer in scientific notation with the correct number of significant digits:
a. 4500.0 + 23.45
b. 0.00321 x 67.8
c. 86.5 / 12.0
3. Round the following numbers to the specified number of significant digits:
a. 2345.6789 (3 significant digits)
b. 0.004567 (2 significant digits)
c. 98765.43 (4 significant digits)
4. Determine the number of significant digits in the following values:
a. 0.0023
b. 4000
c. 0.00987
5. Perform the following calculations, keeping track of significant digits:
a. (12.3 + 4.56) x 2.1
b. 334.5 / (23.4 - 5.67)
c. 0.032 x 4.567
6. Round the following numbers to the nearest significant digit:
a. 632.84 (to 3 significant digits)
b. 0.04567 (to 2 significant digits)
c. 765.209 (to 4 significant digits)
7. Calculate the following and express your answer in scientific notation:
a. (3.45 x 10^4) + (2.3 x 10^3)
b. (5.6 x 10^-2) / (7.8 x 10^-4)
c. (1.23 x 10^5) - (6.78 x 10^4)