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 five hundred, eight hundred and twenty-six
• DThree hundred and fifty thousand, 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?

• A89,756
• B89,765
• C98,567
• D98,576✓

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
• B2,940✓
• C7,426
• D34,782

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
• B54,000
• C54,270
• D54,300✓

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

Which statement is true?

• A45,639 = 45,693
• B45,639 > 45,963
• C45,639 < 45,396
• 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. All its other digits are zero. What is the number?

• A35,002✓
• B30,502
• C35,020
• 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?

• A340,000
• B345,000
• C350,000✓
• D346,000

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

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

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.

What number is represented by these cards? 100,000 + 10,000 + 5,000 + 300 + 20 + 7

• A115,037
• B115,327✓
• C105,327
• D151,327

Answer: 100,000 + 10,000 + 5,000 + 300 + 20 + 7 = 115,327.

Which number has the digit 6 with the greatest value?

• A600,145✓
• B123,654
• C234,567
• D456,231

Answer: In 600,145, the 6 is in the hundred-thousands place (600,000). In 456,231, it's in the ten-thousands place (60,000). In 123,654, it's in the hundreds place (600). In 234,567, it's in the tens place (60). The largest value is 600,000.

What is 2,497 to the nearest 10?

• A2,500✓
• B2,495
• C2,400
• D2,490

Answer: Look at the units digit (7). Since 7 ≥ 5, round up the tens from 9 to 10, which means 2,500.

What is 3.052 rounded to the nearest whole number?

• A3.1
• B3✓
• C4
• D3.05

Answer: 3.052 is closer to 3 than to 4, so it rounds down to 3.

Which number has a 7 in the tens place and a 5 in the tenths place?

• A7.55
• B57.05
• C507.5
• D75.5✓

Answer: The tens place is the second digit to the left of the decimal point, and the tenths place is the first digit to the right of it. In 75.5 the 7 is in the tens place and the 5 after the decimal point is in the tenths place.

What is 246,857 written in words?

• ATwo hundred and forty-six thousand, eight hundred and fifty-seven✓
• BTwo hundred and forty-six, eight hundred and fifty-seven
• CTwenty-four thousand, six hundred and eighty-five
• DTwo million, four hundred and sixty-eight

Answer: 246,857 = 246 thousands and 857 units = Two hundred and forty-six thousand, eight hundred and fifty-seven.

In the number 5,234.78, what is the value of the digit 3?

• A3 units
• B3 hundred
• C3 thousands
• D3 tens✓

Answer: In 5,234.78, the 3 is in the tens place, so its value is 30, or 3 tens.

Order these numbers from smallest to largest: 0.504, 0.405, 0.54, 0.45

• A0.405, 0.45, 0.504, 0.54✓
• B0.504, 0.405, 0.45, 0.54
• C0.405, 0.504, 0.45, 0.54
• D0.45, 0.405, 0.54, 0.504

Answer: Converting to hundredths: 0.405, 0.450, 0.504, 0.540. So the order is 0.405, 0.45, 0.504, 0.54.

What is 1,000,000 divided by 1,000?

• A100
• B1,000✓
• C10,000
• D100,000

Answer: 1,000,000 ÷ 1,000 = 1,000.

Round 7,438 to the nearest hundred.

• A7,440
• B7,500
• C7,400✓
• D7,000

Answer: 7,438: The digit in the tens place is 3, which is less than 5, so we round down to 7,400.

Which of these is equivalent to 5.3?

• A5 and 3 tenths✓
• B5 and 3 hundredths
• C53 hundredths
• D530 tenths

Answer: The first digit after the decimal point is the tenths digit, so 5.3 is 5 whole ones and 3 tenths.

What is 0.6 as a fraction in simplest form?

• A3/5✓
• B6/10
• C60/100
• D6/100

Answer: 0.6 = 6/10. Simplifying by dividing both by 2: 6/10 = 3/5.

In the number 42.876, which digit is in the hundredths place?

• A6
• B4
• C8
• D7✓

Answer: After the decimal point: 8 is in the tenths place, 7 is in the hundredths place, and 6 is in the thousandths place.

What is 3/4 as a decimal?

• A0.4
• B0.34
• C0.3
• D0.75✓

Answer: 3/4 = 3 ÷ 4 = 0.75.

Which number is closest to 1,500?

• A1,600
• B1,400
• C1,561
• D1,449✓

Answer: Distance from 1,500: 1,449 is 51 away, 1,561 is 61 away, 1,400 is 100 away and 1,600 is 100 away. The smallest distance is 51, so 1,449 is closest.

What is 2/5 as a percentage?

• A45%
• B25%
• C40%✓
• D20%

Answer: 2/5 = 2/5 × 100% = 40%.

Compare these decimals: 0.309 and 0.39. Which is larger?

• A0.39✓
• BCannot be determined
• C0.309
• DThey are equal

Answer: 0.39 = 0.390, which is larger than 0.309.

What is 1,234,567 rounded to the nearest ten thousand?

• A1,200,000
• B1,240,000
• C1,230,000✓
• D1,234,000

Answer: To round 1,234,567 to the nearest ten thousand, look at the thousands digit (4). As 4 is less than 5, round down to 1,230,000.

How is the number 24 written in Roman numerals?

• AXXVI
• BXXIIII
• CXXIV✓
• DIVXX

Answer: 24 is 20 add 4. Twenty is written XX and four is written IV, so 24 is XXIV.

What number is written as CDL in Roman numerals?

• A400
• B450✓
• C550
• D650

Answer: CD means 100 before 500, which is 400. L is 50. So CDL is 400 + 50 = 450.

Which of these is the year 1966 written in Roman numerals?

• AMCMLXVI✓
• BMCMXLVI
• CMCMLXIV
• DMLXVI

Answer: M is 1000, CM is 900, LX is 60 and VI is 6. Added together that makes 1966.

Which of these Roman numerals has the greatest value?

• AXL
• BLX
• CXC
• DCX✓

Answer: XL is 40, LX is 60 and XC is 90. CX is 100 add 10, which is 110, the largest of the four.

The temperature outside is −3°C. It rises by 7 degrees. What is the new temperature?

• A−10°C
• B−4°C
• C4°C✓
• D10°C

Answer: Counting up from −3°C it takes 3 degrees to reach 0°C. That leaves 4 more of the 7 degrees, so the new temperature is 4°C.

Which list puts these temperatures in order, coldest first: 2°C, −5°C, 0°C, −1°C?

• A−5°C, −1°C, 0°C, 2°C✓
• B−1°C, −5°C, 0°C, 2°C
• C0°C, −1°C, −5°C, 2°C
• D2°C, 0°C, −1°C, −5°C

Answer: On a number line −5 sits further below zero than −1, so −5°C is the coldest. The order is then −1°C, 0°C and 2°C.

A lift is on floor −2. It goes up 5 floors. Which floor is it on now?

• A−7
• B−3
• C7
• D3✓

Answer: Going up from floor −2, the lift reaches floor 0 after 2 floors and rises 3 more. It stops on floor 3.

At midnight the temperature was −6°C. At noon it was 9°C. How many degrees did the temperature rise?

• A3 degrees
• B15 degrees✓
• C9 degrees
• D6 degrees

Answer: From −6°C up to 0°C is 6 degrees, and from 0°C up to 9°C is another 9 degrees. 6 + 9 = 15 degrees.