The Correct Answer and Explanation is:
Of course. Based on the visible “Thursday” section of the math worksheet, here are the correct answers and a detailed explanation for each problem.
Correct Answers:
- Find the product: 74 x 750 = 55,500
- Find the quotient: 1,337 ÷ 71 = 18 R 59 (18 with a remainder of 59)
- Find the sum: 467.5 + 9.74 = 477.24
- Find the difference: 23.97 – 17.89 = 6.08
- Compare: 95.63 < 965.3
- Compare: 84.45 > 49.460
Explanation:
The worksheet covers several fundamental arithmetic operations. For the multiplication problem, 74 x 750, the solution is found by multiplying the two numbers. Using the standard method, you would first multiply 750 by 4 to get 3,000. Then, you would multiply 750 by 70, which equals 52,500. Adding these two partial products together (3,000 + 52,500) gives the final answer of 55,500.
The division problem, 1,337 ÷ 71, is solved using long division. First, you determine that 71 goes into 133 one time. Subtracting 71 from 133 leaves 62. You then bring down the 7 to make 627. Next, 71 goes into 627 eight times (71 x 8 = 568). Subtracting 568 from 627 leaves a remainder of 59. Thus, the quotient is 18 with a remainder of 59.
For the decimal addition and subtraction, the key is to align the decimal points vertically. In 467.5 + 9.74, you can write 467.5 as 467.50 to align the columns properly before adding to get 477.24. Similarly, in 23.97 – 17.89, aligning the decimals and subtracting column by column, borrowing where necessary, results in 6.08.
Finally, when comparing decimals, you should first compare the whole number parts (the digits to the left of the decimal). For 95.63 and 965.3, the whole number 95 is clearly less than 965, so 95.63 < 965.3. For 84.45 and 49.460, the whole number 84 is greater than 49, so 84.45 > 49.460.
