Understanding Place Value and Rounding

Answer explanation

In the number 7,430, the digit 4 is in the hundreds place. Therefore, its value is 4 multiplied by 100, which equals 400. Thus, the correct answer is 400.

Answer explanation

The value of the 6 in the hundreds place is 600, while the value of the 8 in the tens place is 80. To find how many times greater 600 is than 80, divide 600 by 80, which equals 7.5. Thus, 600 is 10 times greater than 80.

Answer explanation

In the number 8,295, the digit 2 has a value of 20, which is ten times the value of the digit 9 to its right (9). Therefore, the correct answer is 2.

Answer explanation

The number 4,206 can be broken down into its place values: 4,000 (thousands), 200 (hundreds), 0 (tens), and 6 (ones). Therefore, the correct expanded form is 4,000 + 200 + 0 + 6.

Michael is writing a big number in his math notebook. He writes it in word form as "seven thousand, one hundred fifty-two." Which number did Michael write?

Answer explanation

The phrase "seven thousand, one hundred fifty-two" translates to the number 7,152. This matches the first answer choice, confirming it as the correct option.

Grace, Benjamin, and James are comparing their scores in a math game. Which of the following statements about their scores is true?

Answer explanation

The statement 3,876 < 3,987 is true because 3,876 is less than 3,987. The other statements are false as they incorrectly compare the numbers.

• They are equal

• Cannot be determined

Answer explanation

To compare the numbers, look at the thousands, hundreds, tens, and units. 8,243 is greater than 8,234 because 243 is greater than 234. Therefore, the correct answer is 8,243.

Answer explanation

To round 6,782 to the nearest hundred, look at the tens digit (8). Since it is 5 or greater, round up. Thus, 6,782 rounds to 6,800.

Answer explanation

To round 9,456 to the nearest thousand, look at the hundreds digit (4). Since it is less than 5, we round down to 9,000.

Answer explanation

To round 3,249 to the nearest ten, look at the digit in the ones place (9). Since 9 is 5 or greater, round up the tens place (4) to 5, resulting in 3,250. Thus, the correct answer is 3,250.