Numbers to 10 Million and Order of Operations
Find the value of 8 100 000 ÷ 900. (A) 900 (B) 9000 (C) 90 000 (D) 900 000
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Answer: (B) 9000
- 8 100 000 ÷ 100 = 81 000
- 81 000 ÷ 9 = 9000
The digit 7 in 726 158 is in the ____ place. (A) hundreds (B) thousands (C) ten thousands (D) hundred thousands
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Answer: (D) hundred thousands
- 726 158 has 6 digits, and the first digit of a 6-digit number is in the hundred thousands place.
In which one of the following numbers does the digit 7 have a value of 70 000? (A) 1 273 506 (B) 3 702 915 (C) 4 657 231 (D) 6 582 174
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Answer: (A) 1 273 506
- In 1 273 506 the digit 7 is in the ten thousands place, so its value is 70 000.
Which of the following is six hundred and three thousand and twenty-four in numerals? (A) 600 324 (B) 603 024 (C) 603 240 (D) 630 024
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Answer: (B) 603 024
- Six hundred and three thousand is 603 000 and twenty-four is 24.
- 603 000 + 24 = 603 024
A number is 36 000 when rounded to the nearest hundred. What is the number? (A) 35 899 (B) 35 940 (C) 36 009 (D) 36 060
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Answer: (C) 36 009
- Numbers from 35 950 to 36 049 round to 36 000.
- Only 36 009 is in that range.
Priya had 120 stickers. She packed them equally into 8 boxes and then gave away 3 of the boxes. Which of the following expressions correctly describes the working to find out the number of stickers she gave away? (A) 120 ÷ 8 − 3 (B) 120 ÷ (8 − 3) (C) 120 ÷ (8 × 3) (D) 120 ÷ 8 × 3
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Answer: (D) 120 ÷ 8 × 3
- Stickers in 1 box = 120 ÷ 8
- Stickers in 3 boxes = 120 ÷ 8 × 3
A number pattern repeats 2, 3, 5, 2, 3, 5, 2, 3, 5, ... Find the sum of the first 90 numbers in the pattern. (A) 280 (B) 290 (C) 300 (D) 310
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Answer: (C) 300
- Each group of 3 numbers adds up to 2 + 3 + 5 = 10.
- 90 numbers make 90 ÷ 3 = 30 groups.
- 30 × 10 = 300
Round 48 672 to the nearest hundred.
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Answer: 48 700
- 48 672 is between 48 600 and 48 700.
- The tens digit is 7, so round up to 48 700.
What is six million, two hundred and seventeen thousand and forty-three in numerals?
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Answer: 6 217 043
- 6 000 000 + 217 000 + 43 = 6 217 043
Find the value of 30 − 4 × 5 + 8 ÷ 2.
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Answer: 14
- Multiply and divide first: 4 × 5 = 20 and 8 ÷ 2 = 4
- 30 − 20 + 4 = 14
A number when divided by 500 gives a quotient of 1824. What is the quotient when the same number is divided by 40?
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Answer: 22 800
- The number = 500 × 1824 = 912 000
- 912 000 ÷ 40 = 22 800
Daniel bought 50 erasers. The erasers were priced at 30 cents each and in a box of 8 at $2 per box. What was the least amount of money that Daniel could have spent on the erasers?
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Answer: $12.60
- 50 = 6 boxes of 8 (48 erasers) + 2 loose erasers
- 6 × $2 + 2 × $0.30 = $12.60
- 7 boxes would cost $14, which is more.
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