Simplify: 4^-1
Option B
Step 1: Use the negative exponent rule: a^-1 = 1/a for nonzero a. Step 2: 4^-1 = 1/4.
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Step 1: Use the negative exponent rule: a^-1 = 1/a for nonzero a. Step 2: 4^-1 = 1/4.
Step 1: (-3)^2 means the square of -3: (-3)*(-3) = 9. Step 2: -3^2 means the negative of 3^2: -(3*3) = -9. Step 3: Therefore (-3)^2 = 9 and -3^2 = -9.
Step 1: Apply order of operations: exponents, then multiplication, then addition. Step 2: 2^2 = 4. Step 3: Multiply: 4*3 = 12. Step 4: Add: 6 + 12 = 18.
Step 1: Natural numbers typically start at 1. Step 2: Whole numbers include 0, 1, 2, ... Step 3: Integers include ..., -1, 0, 1, ... Step 4: Therefore both whole numbers and integers include 0.
Step 1: First five natural numbers: 1, 2, 3, 4, 5. Step 2: Add: 1 + 2 + 3 + 4 + 5 = 15.
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: 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: Divide 1 by 8. Step 2: 1/8 = 0.125 because 8*0.125 = 1.
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: 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.