Number System MCQs with Answers & Explanations

Step 1: Move the decimal so the number is between 1 and 10: 5.6. Step 2: Count 4 places to the right to reach 0.00056. Step 3: Therefore 0.00056 = 5.6 * 10^-4 in scientific notation.

Step 1: 10^3 = 1000. Step 2: Multiply 3.2*1000 = 3200. Step 3: Therefore standard form is 3200.

Step 1: Find common denominator 6. Step 2: Convert: 2/3 = 4/6. Step 3: Add: 4/6 + 5/6 = 9/6. Step 4: Simplify 9/6 = 3/2.

Step 1: Convert 1/4 to eighths: 1/4 = 2/8. Step 2: Subtract: 7/8 - 2/8 = 5/8.

Step 1: Multiply numerators and denominators: (3*10)/(5*9) = 30/45. Step 2: Simplify 30/45 by dividing by 15: 2/3.

Step 1: Division by a fraction equals multiplication by its reciprocal: (5/6)*(3/1). Step 2: Multiply: 15/6. Step 3: Simplify 15/6 by dividing by 3: 5/2.

Step 1: 81 is a perfect square: 81 = 9*9. Step 2: Therefore sqrt(81) = 9.

Step 1: Factor inside the root: sqrt(50) = sqrt(25*2). Step 2: sqrt(25) = 5. Step 3: Therefore sqrt(50) = 5*sqrt(2) in simplest radical form.

Step 1: By the definition of absolute value, |x| = 7 means the distance of x from 0 is 7. Step 2: There are two solutions: x = 7 and x = -7.

Step 1: On the number line, negative numbers are left of 0 and positive numbers are right of 0. Step 2: Therefore -3 is left of 0 and 4 is right of 0, giving -3 < 0 < 4.

Step 1: A rational number can be written as a ratio a/b of integers. Step 2: 0.333... repeating equals 1/3, which is rational. Step 3: sqrt(2), sqrt(5), and pi are irrational.

Step 1: Normalize to the same number of decimal places: 8.90 and 8.11. Step 2: Compare digit by digit: at the tenths place both are 8. At the hundredths place 9 > 1. Step 3: Therefore 8.90 > 8.11.

Step 1: | -4 | = 4. Step 2: -| -4 | = -4. Step 3: -4 + 3 = -1.

Step 1: Use the power of a power rule: (a^m)^n = a^(m*n). Step 2: Here (a^2)^3 = a^(2*3) = a^6.

Step 1: Multiplication is distributed over addition. Step 2: This is the distributive property. Step 3: It is not commutative (order change) nor associative (grouping change), and identity involves 1 or 0.

Step 1: The reciprocal of a/b is b/a provided a and b are nonzero. Step 2: Reciprocal of -5/7 is -7/5.

Step 1: Divide 1 by 8. Step 2: 1/8 = 0.125 because 8*0.125 = 1.

Step 1: The tenths place is 2. Step 2: Look at the hundredths place (6). Step 3: Since 6 >= 5, round up the tenths from 2 to 3. Step 4: Result is 3.3.

Step 1: The hundredths place is 6. Step 2: Look at the thousandths place (6). Step 3: Since 6 >= 5, round up the hundredths from 6 to 7. Step 4: Result is 3.27.

Step 1: First five natural numbers: 1, 2, 3, 4, 5. Step 2: Add: 1 + 2 + 3 + 4 + 5 = 15.