Question

Subtract.56,800,000,000−(5.1×10^10)

Enter the correct numbers in the boxes to complete each step.
Convert the first number to scientific notation.=(_______×10 _______)−(5.1×10^10)

a) 5.68×10^10
b) 5.68×10^11
c) 5.68×10^12
d) 5.68×10^9

Answer 1

To subtract the two numbers, first convert 56,800,000,000 to scientific notation as 5.68 × 10^10 and then perform the subtraction with 5.1 × 10^10. The answer is 0.58 × 10^10.

Step-by-step explanation:

The question involves subtracting two numbers expressed in scientific notation. We need to convert 56,800,000,000 into scientific notation before performing the subtraction:

56,800,000,000 has 10 non-zero digits to the left of the decimal point when written in standard form, so it converts to 5.68 × 10^10 in scientific notation:

= (5.68 × 10^10) − (5.1 × 10^10)

Now, subtract the coefficients (5.68 - 5.1 = 0.58) while keeping the power of 10 the same, since they are like terms:

= 0.58 × 10^10

Note: This scientific notation is also correct as per the example:

• 56,900 can be written as 5.69 × 10^4
• 0.000028 can be written as 2.8 × 10^-5