Question

Complete the equations.

28{,}770\div 10^2 =28,770÷10
2
=28, comma, 770, divided by, 10, squared, equals
28{,}770\div 10^3 =28,770÷10
3
=28, comma, 770, divided by, 10, cubed, equals
28{,}770\div 10^4 =28,770÷10
4
=28, comma, 770, divided by, 10, start superscript, 4, end superscript, equals

Answer 1

The equations 28,770 divided by 10 squared, 10 cubed, and 10 to the fourth power, result in 287.7, 28.77, and 2.877 respectively. This process involves moving the decimal place to the left by the number of zeros in the power of ten.

Step-by-step explanation:

To complete the equations, we need to divide 28,770 by various powers of ten. Remember, dividing by a power of ten simply moves the decimal place to the left by the number of zeros in the power of ten. For example, 102, or 10 squared, equals 100, so we move the decimal point two places to the left. Here are the completed equations:

• 28,770 ÷ 102 = 287.7
• 28,770 ÷ 103 = 28.77
• 28,770 ÷ 104 = 2.877

In scientific notation, you can also verify these results by writing the divisor as a negative power in the numerator and adding exponents. This approach is especially handy in the sciences and when using a calculator. Different calculators may require different methods to enter scientific notation, so always double-check with your instructor if you're unsure.

Answer 2

a) 28,770 ÷ 10 ^ 2 = 287.7

b) 28,770 ÷ 10 ^ 3 = 28.77

c) 28,770 ÷ 10 ^ 4 = 2.877