Number and Place Value

What is the value of the digit 7 in the number 47,352?

• A7
• B70
• C700
• D7,000✓

Answer: The digit 7 is in the thousands place, so its value is 7 × 1,000 = 7,000.

Write 305,826 in words.

• AThree hundred and five thousand, eight hundred and twenty-six✓
• BThirty thousand, eight hundred and twenty-six
• CThree hundred and fifty thousand, eight hundred and twenty-six
• DThree hundred and five hundred, eight hundred and twenty-six

Answer: 305,826 breaks down as 300,000 + 5,000 + 800 + 20 + 6, which reads as three hundred and five thousand, eight hundred and twenty-six.

Which number is the largest?

• A89,765
• B98,576✓
• C89,756
• D98,567

Answer: 98,576 is the largest because it has 9 in the ten-thousands place, while the others have 8. Comparing the remaining, 98,576 > 98,567.

What is 6,340 rounded to the nearest thousand?

• A6,000✓
• B6,300
• C6,500
• D7,000

Answer: Look at the hundreds digit (3). Since 3 is less than 5, round down to 6,000.

Which number has a 4 in the tens place?

• A4,328
• B34,782
• C7,426
• D2,940✓

Answer: In 2,940 the tens digit is 4 (2,9[4]0). The other numbers do not have a 4 in the tens place.

Complete the sequence: 1,250, 1,500, 1,750, ...

• A1,900
• B1,950
• C2,000✓
• D2,050

Answer: The sequence increases by 250 each time. 1,750 + 250 = 2,000.

What is 54,273 to the nearest hundred?

• A54,200
• B54,270
• C54,300✓
• D54,000

Answer: Look at the tens digit (7). Since 7 ≥ 5, round up. 54,273 rounds to 54,300.

Which statement is true?

• A45,639 > 45,963
• B45,639 < 45,396
• C45,639 = 45,693
• D45,639 < 45,963✓

Answer: Comparing 45,639 and 45,963: both have 45 in the ten-thousands and thousands. Comparing hundreds: 6 < 9, so 45,639 < 45,963.

What is the difference between the value of the 8 in 8,342 and the 8 in 2,834?

• A0
• B7,200✓
• C7,920
• D8,000

Answer: The 8 in 8,342 is worth 8,000; the 8 in 2,834 is worth 800. The difference is 8,000 - 800 = 7,200.

A number has 3 in the ten-thousands place, 5 in the thousands place, and 2 in the units place. What is the number?

• A35,002✓
• B35,020
• C30,502
• D350,002

Answer: 3 in ten-thousands = 30,000, 5 in thousands = 5,000, 2 in units = 2. Total: 30,000 + 5,000 + 2 = 35,002.

What is 345,678 rounded to the nearest ten thousand?

• A345,000
• B346,000
• C340,000
• D350,000✓

Answer: Look at the thousands digit (5). Since 5 ≥ 5, round up the ten-thousands from 4 to 5, giving 350,000.

Order these numbers from smallest to largest: 34,567; 34,657; 34,576; 34,675

• A34,567 < 34,576 < 34,657 < 34,675✓
• B34,567 < 34,657 < 34,576 < 34,675
• C34,576 < 34,567 < 34,657 < 34,675
• D34,657 < 34,567 < 34,675 < 34,576

Answer: All start with 34,5 or 34,6. Comparing: 567 < 576 < 657 < 675. So the order is 34,567 < 34,576 < 34,657 < 34,675.