Question

Convert 550,000 to standard form.

a. 5.5 x 10^5
b. 5.50 x 10^5

Convert the following from standard form to normal number.
a. 7 x 10^-3
b. 2.5 x 10^5

Convert the following prefixes.
a. 6 cm to m.
a. 0.06 m
b. 6 x 10^-2 m
b. 5 km to cm
a. 500,000 cm
b. 5 x 10^5 cm
c. 0.8 m to mm
a. 800 mm
b. 8 x 10^2 mm

What is error?
a. Error is the difference between the measured value and the true value.
b. The two types of errors are systematic errors and random errors.
c. Example of systematic error: A scale consistently reads 1 gram too heavy for all measurements.

Answer 1

To express numbers in scientific notation in standard form, you need to move the decimal point either to the left or right depending on the sign of the exponent.

Step-by-step explanation:

a. 7.11 × 10-2

To express this number in standard notation, we move the decimal point 2 places to the left. The result is 0.0711.

b. 9.18 × 102

To express this number in standard notation, we move the decimal point 2 places to the right. The result is 918.

c. 3.09 x 10

Since the exponent is zero, we do not need to move the decimal point. The number remains the same, which is 3.09.