Pick the best answer for each of the 10 questions about place value. Read each question carefully, then check the explanation to learn from any mistake.
Question 1 What is the value of the digit 4 in \(34,218\)?
A \(400\)B \(4{,}000\)C \(40{,}000\)D \(4\)The 4 is in the thousands place, so it is worth 4,000. Mixing up the thousands and ten thousands places gives 40,000.
Question 2 Thousands hundreds 5 tens 6 ones 0 Ones hundreds 8 tens 4 ones 0 Place-value chart for 560,840. Which digit is in the ten thousands place?
A 6B 5C 0D 8Read the chart from the left: hundred thousands is 5, ten thousands is 6. Students often pick the first digit of the number.
Question 3 The 3 in \(3,000\) is worth how many times as much as the 3 in \(30\)?
A 10B 1,000C 100D 303,000 is 100 times 30 because each step left is ten times, and there are two steps from tens to thousands. Counting one step gives 10.
Question 4 Which is \(7,305\) in expanded form?
A \(7{,}000 + 300 + 5\)B \(7{,}000 + 30 + 5\)C \(700 + 300 + 5\)D \(7{,}000 + 300 + 50\)7,305 has 7 thousands, 3 hundreds, 0 tens, and 5 ones. The tens place is 0, so there is no tens term.
Question 5 Which is the word form of 80,016?
A eight thousand, sixteenB eighty thousand, sixteenC eighty thousand, sixtyD eight hundred thousand, sixteen80,016 is 80 thousand and 16. Check that the thousands period is 80 and the ones period is 16.
Question 6 0 200,000 400,000 600,000 800,000 1,000,000 P Point P on a number line. Which number is point P?
A \(450{,}000\)B \(45{,}000\)C \(540{,}000\)D \(400{,}500\)Each tick is 100,000. Point P is halfway between 400,000 and 500,000, so it is 450,000.
Question 7 Which statement is true?
A \(206{,}415 < 206{,}145\)B \(206{,}415 = 206{,}145\)C \(206{,}415 > 206{,}145\)D \(206{,}145 > 206{,}415\)The numbers match through the thousands place. In the hundreds place, 4 is greater than 1, so 206,415 > 206,145. Choosing < reverses the order.
Question 8 What number is ten times as much as \(60,000\)?
A \(6{,}000\)B \(66{,}000\)C \(60{,}010\)D \(600{,}000\)Multiplying by 10 moves each digit one place to the left: 60,000 becomes 600,000. Moving right gives 6,000.
Question 9 Thousands tens 9 ones 4 Ones hundreds 3 tens 0 ones 7 Place-value chart for 94,307 with one digit highlighted. What is the value of the highlighted digit?
A \(40{,}000\)B \(400\)C \(4\)D \(4{,}000\)The highlighted 4 is in the thousands column, so it is worth 4,000.
Question 10 Which list is in order from least to greatest?
A \(65,210\), \(65,120\), \(65,221\)B \(65,120\), \(65,210\), \(65,221\)C \(65,221\), \(65,210\), \(65,120\)D \(65,120\), \(65,221\), \(65,210\)Compare hundreds, then tens: 65,120 < 65,210 < 65,221. The second list swaps the first two; the third list is greatest to least.