1. Problem (21): Subtract 98 from 246 and round the answer to the nearest ten. 2. Calculate: $$246 - 98 = 148$$. 3. To round 148 to the nearest ten, check the ones digit (8). Since 8 is 5 or greater, round up. 4. So, 148 rounded to the nearest ten is $$150$$. 1. Problem (22): The number is 241,365. Add the value of the digit '1' to the value of '6'. 2. The digit '1' is in the thousands place: value is $$1 \times 1000 = 1000$$. 3. The digit '6' is in the tens place: value is $$6 \times 10 = 60$$. 4. Sum these values: $$1000 + 60 = 1060$$. 5. The digit in the ones place is 5, value is 5. 6. Divide the sum by the ones digit value: $$\frac{1060}{5} = 212$$. 7. The quotient is $$212$$. 1. Problem (23): Given digits and values: D = 5, C = 60, B = 900 assigned to digits 5, 6, 9. 2. From the digit-values relationship: - D = 5 corresponds to digit 5, so value per digit is $$5 \times 1 = 5$$. - C = 60 corresponds to digit 6, so value per digit is $$6 \times 10 = 60$$. - B = 900 corresponds to digit 9, so value per digit is $$9 \times 100 = 900$$. 3. The pattern is that each letter corresponds to the digit times a place value increasing by powers of ten. 4. X is assigned to digit 3, which is in the thousands place: value is $$3 \times 1000 = 3000$$. 5. Therefore, X will be given $$3000$$ for his digit. 1. Problem (17): Kester gave you three notes, soldier bills, four ten dollar bills, and twenty-five seven coins. 2. Three notes (assuming $100 each): $$3 \times 100 = 300$$. 3. Four ten dollar bills: $$4 \times 10 = 40$$. 4. Twenty-five seven coins (assuming $0.07 each): $$25 \times 0.07 = 1.75$$. 5. Total money: $$300 + 40 + 1.75 = 341.75$$. 1. Problem (18): How many more hundreds in 165 than 162? 2. Hundreds in 165: $$\lfloor 165/100 \rfloor = 1$$. 3. Hundreds in 162: $$\lfloor 162/100 \rfloor = 1$$. 4. Difference: $$1 - 1 = 0$$. 1. Problem (19): Tom buys 2 shirts at 30.95 each and pants for 65.75. 2. Total cost for shirts: $$2 \times 30.95 = 61.90$$. 3. Add pants: $$61.90 + 65.75 = 127.65$$. 4. Tom pays 200, change is $$200 - 127.65 = 72.35$$. 5. Rounded to nearest dollar: $$72$$. 1. Problem (20): Find the least number of bills to total 367. 2. Use largest bills first: one 200, one 100, one 50, one 10, one 5, two 1s. 3. Count bills: 1+1+1+1+1+2 = 7 bills minimum. 1. Problem (14): Ramesh has $70.00 with bills $5, $10, $10, $20, $5 and one unknown. 2. Sum known bills: $$5+10+10+20+5 = 50$$. 3. Unknown bill: $$70 - 50 = 20$$. 1. Problem (15): In which number does 4 stand for forty thousand? 2. Check each number: (a) 14 111: 4 is in thousands place (4,000) (b) 41 111: 4 is in ten-thousands place (40,000) (c) 11 400: 4 is in hundreds place (400) (d) 11 141: 4 is in tens place (40) 3. Answer: (b) 41 111. 1. Problem (16): Fraction of a million closest to 125,160. 2. Calculate fractions: - half (1/2): 500,000 - quarter (1/4): 250,000 - eighth (1/8): 125,000 - tenth (1/10): 100,000 3. 125,160 is closest to 1/8 (125,000). 1. Problem (9): How many more tens in 6,173 than in 5,173? 2. Tens digit in 6,173 is 7, value 70. 3. Tens digit in 5,173 is 7, value 70. 4. Difference is 0. 1. Problem (10): Replace 6 with 4 in 71,612 and find difference. 2. Original number: 71,612 3. New number: 74,612 (replace 6 in thousands place with 4 means actually 41,612). Correction: The 6 is in the thousands place, so 71,612 to 74,612 would mean adding 3,000, but since replaced by 4, number becomes 74,612? Actually, replacing 6 with 4 in 71,612 gives 71,412. Difference: $$71,612 - 71,412 = 200$$. 1. Problem (11): Write number with 6 ten thousands, 4 hundreds, 5 tens. 2. Calculate value: $$6 \times 10,000 = 60,000$$, $$4 \times 100 = 400$$, $$5 \times 10 = 50$$. 3. Sum: $$60,000 + 400 + 50 = 60,450$$. 1. Problem (12): Sum values of encircled digits in 1 7 4 3 1 5 9. 2. Assuming encircled digits are 7, 3, 1, 9. 3. Values at places: - 7 at ten-thousands: $$7 \times 10,000 = 70,000$$ - 3 at hundreds: $$3 \times 100 = 300$$ - 1 at tens: $$1 \times 10 = 10$$ - 9 at ones: $$9 \times 1 = 9$$ 4. Sum: $$70,000 + 300 +10 + 9 =70,319$$. 5. In words: Seventy thousand three hundred nineteen. 1. Problem (13): Henry has 16 twenty-dollar bills. 2. Total amount: $$16 \times 20 = 320$$. 3. Rounded to nearest hundred: $$300$$.