Solve the following problems: 1. 3.45 x ? = 3450 2. 3 x 7 = 4 x 6 - ? 3. 45.76 + 5.95 = ? 4. (3)/(4) - (5)/(12) = ?

Oceania, let's knock this out. 1. Step 1: Identify the operation needed to transform 3.45 into 3450. To change 3.45 to 3450, the decimal point moves three places to the right. Step 2: Determine the multiplier for moving the decimal point three places to the right. Moving the decimal point one place to the right is multiplying by 10. Moving it three places to the right is multiplying by 10 × 10 × 10 = 1000. So, 3.45 × 1000 = 3450. The missing number is 1000. 2. Step 1: Calculate the value of the left side of the equation. 3 × 7 = 21 Step 2: Calculate the first part of the right side of the equation. 4 × 6 = 24 Step 3: Substitute these values back into the equation. 21 = 24 - ? Step 4: Solve for the missing number. ? = 24 - 21 ? = 3 The missing number is 3. 3. Step 1: Add the two decimal numbers. Align the decimal points. 45.76 + 5.95 45.76 + \ 5.95 51.71 The sum is 51.71. 4. Step 1: Find a common denominator for the fractions (3)/(4) and (5)/(12). The least common multiple of 4 and 12 is 12. Step 2: Convert (3)/(4) to an equivalent fraction with a denominator of 12. (3)/(4) = (3 × 3)/(4 × 3) = (9)/(12) Step 3: Subtract the fractions. (9)/(12) - (5)/(12) = (9 - 5)/(12) (9 - 5)/(12) = (4)/(12) Step 4: Simplify the resulting fraction. (4)/(12) = (4 ÷ 4)/(12 ÷ 4) = (1)/(3) The difference is (1)/(3). 5. Step 1: Divide 5867 by 4. 5867 ÷ 4 Divide 5 by 4: 1 with remainder 1. Bring down 8, making 18. Divide 18 by 4: 4 with remainder 2. Bring down 6, making 26. Divide 26 by 4: 6 with remainder 2. Bring down 7, making 27. Divide 27 by 4: 6 with remainder 3. So, 5867 ÷ 4 = 1466 with a remainder of 3. Step 2: Express the answer as a decimal or mixed number. As a mixed number: 1466 (3)/(4) As a decimal: 1466.75 (since (3)/(4) = 0.75) The result is 1466.75. Got more? Send 'em.