A city has a population of 2,405,103. How is this read in words? — Two million, four hundred five thousand, one hundred three.2,405,103 = 2 millions + 405 thousands + 103 ones = two million, four hundred five thousand, one hundred three.
What is the sum of the values of the two 4s in 4,240,000? — 4,040,000.First 4: millions place → 4,000,000. Second 4: ten-thousands place → 40,000. Sum: 4,040,000.
A number rounds to 500,000 (to the nearest hundred-thousand). Which could it be? — 450,001.Rounding to nearest hundred-thousand: numbers from 450,000 to 549,999 round to 500,000. 450,001 is in that range.
I am a 6-digit number. My millions digit is 0. My hundred-thousands digit is 7. My remaining digits are all 0s. What number am I? — 700,000.Hundred-thousands place = 7, all others 0: 700,000.
Which digit makes 7_5,000 > 795,000 true? — No digit works.7_5,000 with any digit (0–9) in the ten-thousands gives at most 795,000. To exceed 795,000 we need 800,000+. So no single digit works.
What is the difference in place value between the 5 in 5,000,000 and the 5 in 500? — 10,000.5,000,000 ÷ 500 = 10,000. The millions-place 5 is worth 10,000 times the hundreds-place 5.
Express 3,005,070 in expanded form. — 3,000,000 + 5,000 + 70.3,005,070 = 3,000,000 + 5,000 + 70. The zero digits contribute nothing.
Which number has digits that sum to 20 and equals exactly 1,000,000? — None — 1,000,000 digits sum to 1.The digits of 1,000,000 are 1,0,0,0,0,0,0 — they sum to 1, not 20.
If each bus can carry 48 passengers and there are 9 buses, how many passengers total? — 432.48 × 9 = 432.
A factory makes 1,437 widgets per day. How many widgets in 7 days? — 10,059.1,437 × 7 = 10,059.
Which expression has the same value as 5,000 × 8? — Both A and B.500×80=40,000; 50×800=40,000; 5,000×8=40,000. A, B, and the original are all equal.
What value of n makes 1,2n4 × 3 = 3,732 true? — 5.1,254 × 3 = 3,762. Try 1,244 × 3 = 3,732. So n = 4… Actually: 1,244×3: 3×4=12(2,c1); 3×4+1=13(3,c1); 3×2+1=7; 3×1=3 → 3,732. So n=4.
A school orders 1,625 pencils for each of 6 classrooms. How many pencils are ordered in total? — 9,750.1,625 × 6 = 9,750.
What is 56 × 54? — 3,024.56×54 = 56×50+56×4 = 2,800+224 = 3,024.
Farmer Chen plants 48 rows of corn, each with 67 plants. How many plants total? — 3,216.48×67 = 48×60+48×7 = 2,880+336 = 3,216.
What is 85 × 85? — 7,225.85×85 = 85×80+85×5 = 6,800+425 = 7,225.
Which product is LESS than 2,000? (a) 45×46 (b) 32×65 (c) 25×79 (d) 28×72 — 25 × 79.25×79=1,975 < 2,000. (45×46=2,070; 32×65=2,080; 28×72=2,016 — all ≥ 2,000.)
If 37 × 28 = 1,036, what is 38 × 28? — 1,064.38×28 = 37×28 + 1×28 = 1,036+28 = 1,064.
A theater has 45 rows with 78 seats each. How many seats total? — 3,510.45×78 = 45×80−45×2 = 3,600−90 = 3,510.
What is 99 × 99? — 9,801.99×99 = (100−1)² = 10,000−200+1 = 9,801.
Which multiplication expression equals 3,600? — Both B and C.60×60=3,600 and 90×40=3,600. Both equal 3,600.
What is 1,848 ÷ 6? — 308.6 into 18=3; 6 into 4=0(r4); 6 into 48=8. Answer: 308.
A rope 756 cm long is cut into pieces of 9 cm each. How many pieces? — 84.756 ÷ 9 = 84 pieces.
What is 2,345 ÷ 5? — 469.5 into 23=4(r3); bring down 4→34; 5 into 34=6(r4); bring down 5→45; 5 into 45=9. Answer: 469.
School library bought 672 books for 7 classrooms. How many books per classroom? — 96.672 ÷ 7 = 96 books per classroom.
What is the missing dividend: ___ ÷ 6 = 124 remainder 2? — 746.Dividend = 124×6+2 = 744+2 = 746.
A factory made 3,675 items. They are packed into boxes of 7. How many boxes are full, and how many items remain? — 525 boxes, 0 left.3,675 ÷ 7 = 525 exactly. 525 full boxes, 0 left.
If 4,321 ÷ 8 = 540 remainder r, what is r? — 1.540 × 8 = 4,320. 4,321 − 4,320 = 1. Remainder r = 1.