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Read and write multi-digit numbers

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5172634
A science museum recorded \(102{,}005\) visitors in one year. Write this number in words.

Hints

- Separate the number into three-digit periods from right to left. - A period containing only zeros is not read aloud. - Skip place values whose digit is \(0\).

Solution

1. Separate the number into periods: \(102\) thousands and \(005\) ones. 2. Read the nonzero periods: one hundred two thousand five.

Answer

one hundred two thousand five
5172434
Write each number name as a numeral. a) two hundred three thousand fifteen b) six hundred eight thousand ninety c) forty thousand four hundred

Hints

- Separate each number name into the thousands period and the ones period. - Each period after the first has three digits. - Use zeros as placeholders for place values that are not named.

Solution

1. a) The thousands period is \(203\), and the ones period is \(015\), so the numeral is \(203{,}015\). 2. b) The thousands period is \(608\), and the ones period is \(090\), so the numeral is \(608{,}090\). 3. c) The thousands period is \(40\), and the ones period is \(400\), so the numeral is \(40{,}400\).

Answer

a) \(203{,}015\) b) \(608{,}090\) c) \(40{,}400\)
5172494
Write each number name as a numeral. a) twelve thousand eight b) four hundred seventy thousand fifty c) six hundred twenty-one thousand six hundred d) one hundred eighty thousand

Hints

- Separate each number name into the thousands period and the ones period. - Each period after the first must contain three digits. - Use zeros for place values that are not named. - Build each numeral in three-digit periods from left to right.

Solution

1. a) The thousands period is \(12\), and the ones period is \(008\): \(12{,}008\). 2. b) The thousands period is \(470\), and the ones period is \(050\): \(470{,}050\). 3. c) The thousands period is \(621\), and the ones period is \(600\): \(621{,}600\). 4. d) The thousands period is \(180\), and the ones period is \(000\): \(180{,}000\).

Answer

a) \(12{,}008\) b) \(470{,}050\) c) \(621{,}600\) d) \(180{,}000\)
5172584
Write each number name as a numeral. a) fifty-nine thousand four hundred eight b) one hundred twenty thousand five hundred c) seven hundred eight thousand nine hundred four

Hints

- Identify the thousands period and the ones period in each number name. - Use zeros as placeholders for any place values that are not named. - Write each period after the first as a group of three digits. - A place-value chart can help you organize the digits.

Solution

1. a) Combine \(59\) thousands and \(408\) ones: \(59{,}408\). 2. b) Combine \(120\) thousands and \(500\) ones: \(120{,}500\). 3. c) Combine \(708\) thousands and \(904\) ones: \(708{,}904\).

Answer

a) \(59{,}408\) b) \(120{,}500\) c) \(708{,}904\)
5172594
Write each number name as a numeral. a) four hundred thousand fifteen b) eight hundred nine thousand seventy-seven c) three hundred sixty-two thousand five hundred

Hints

- Identify the thousands period and the ones period in each number name. - Each period after the first must contain three digits. - Use zeros when a place value is not named.

Solution

1. Four hundred thousand fifteen has \(400\) in the thousands period and \(015\) in the ones period: \(400{,}015\). 2. Eight hundred nine thousand seventy-seven has \(809\) in the thousands period and \(077\) in the ones period: \(809{,}077\). 3. Three hundred sixty-two thousand five hundred has \(362\) in the thousands period and \(500\) in the ones period: \(362{,}500\).

Answer

a) \(400{,}015\) b) \(809{,}077\) c) \(362{,}500\)
5172604
Large numbers are sometimes written in words. Write each quantity as a numeral. a) A city has about six hundred thirty-four thousand residents. b) A stadium renovation cost about nine hundred fifty thousand eight hundred dollars.

Hints

- Find the number words in each sentence. - Separate the thousands period from the ones period. - Write each period with three digits, using zeros where needed.

Solution

1. Six hundred thirty-four thousand is \(634{,}000\), so the city has about \(634{,}000\) residents. 2. Nine hundred fifty thousand eight hundred is \(950{,}800\), so the cost is about \(\$950{,}800\).

Answer

a) \(634{,}000\) residents b) \(\$950{,}800\)
5172614
Write each numeral in words. a) \(504{,}070\) b) \(120{,}308\) c) \(900{,}005\)

Hints

- Separate each numeral into the thousands period and the ones period. - Read each nonzero period from left to right. - Skip place values whose digit is \(0\). - Do not say the commas; use the word “thousand” between the periods.

Solution

1. a) Read \(504\) as the thousands period and \(070\) as the ones period: five hundred four thousand seventy. 2. b) Read \(120\) as the thousands period and \(308\) as the ones period: one hundred twenty thousand three hundred eight. 3. c) Read \(900\) as the thousands period and \(005\) as the ones period: nine hundred thousand five.

Answer

a) five hundred four thousand seventy b) one hundred twenty thousand three hundred eight c) nine hundred thousand five
5172624
Write both numbers in words. a) \(350{,}400\) b) \(354{,}000\)

Hints

- Read each number in three-digit periods. - Notice which nonzero digits are in the thousands period and which are in the ones period. - Distinguish carefully between \(400\) ones and \(4\) thousands.

Solution

1. a) The thousands period is \(350\), and the ones period is \(400\): three hundred fifty thousand four hundred. 2. b) The thousands period is \(354\), and the ones period is \(000\): three hundred fifty-four thousand.

Answer

a) three hundred fifty thousand four hundred b) three hundred fifty-four thousand
5176554
Match each historical event with the same year written in words. 1. Declaration of Independence (\(1776\)) 2. First powered airplane flight (\(1903\)) 3. Apollo \(11\) Moon landing (\(1969\)) 4. Founding of Jamestown (\(1607\)) A) one thousand nine hundred sixty-nine B) one thousand six hundred seven C) one thousand seven hundred seventy-six D) one thousand nine hundred three

Hints

- Read each year by its thousands, hundreds, tens, and ones. - Pay attention to years that have a zero in one place. - Match one event at a time.

Solution

1. \(1776\) is one thousand seven hundred seventy-six, so \(1\)-C. 2. \(1903\) is one thousand nine hundred three, so \(2\)-D. 3. \(1969\) is one thousand nine hundred sixty-nine, so \(3\)-A. 4. \(1607\) is one thousand six hundred seven, so \(4\)-B.

Answer

\(1\)-C, \(2\)-D, \(3\)-A, \(4\)-B
5180504
Write “four hundred six thousand nine hundred thirty” as a numeral. Then determine how many zeros appear in the numeral.

Hints

- Use a place-value chart to organize the thousands and ones periods. - Write each period with three digits. - After writing the numeral, check every digit when counting zeros.

Solution

1. The thousands period is \(406\), and the ones period is \(930\), so the numeral is \(406{,}930\). 2. The digit \(0\) appears twice in \(406{,}930\).

Answer

Numeral: \(406{,}930\); number of zeros: \(2\)
5172674
Two whole numbers are written in words. Number A: five hundred thousand thirty Number B: five hundred eighty thousand three hundred Write both numbers as numerals. Count how many times the digit \(0\) appears in each numeral. Which number has more zeros, and how many zeros does it have?

Hints

- Write each number in a place-value chart before counting. - Make sure the thousands period and the ones period each contain the correct digits. - Count every digit \(0\) in each completed numeral.

Solution

1. Number A is \(500{,}030\). Its digits contain four zeros. 2. Number B is \(580{,}300\). Its digits contain three zeros. 3. Number A has more zeros, with four zeros.

Answer

Number A is \(500{,}030\) and has \(4\) zeros. Number B is \(580{,}300\) and has \(3\) zeros. Number A has more zeros: \(4\).
5188664
A number lock uses a six-digit code. Find the code from the clues, then write it in standard form and word form. - The hundred-thousands digit is \(4\). - The ten-thousands digit is \(2\) greater than the hundred-thousands digit. - The thousands digit is \(0\). - The hundreds digit is half the ten-thousands digit. - The tens digit is \(0\). - The ones digit is the difference between the ten-thousands digit and the hundred-thousands digit.

Hints

- Draw six places for the six digits. - Work through the clues one at a time. - “Difference” means the result of subtraction. - A place with no units has the digit \(0\).

Solution

1. The hundred-thousands digit is \(4\). 2. The ten-thousands digit is \(4 + 2 = 6\). 3. The thousands digit is \(0\). 4. The hundreds digit is half of \(6\), so it is \(3\). 5. The tens digit is \(0\). 6. The ones digit is \(6 - 4 = 2\). 7. The number is \(460{,}302\), read as “four hundred sixty thousand three hundred two.”

Answer

Standard form: \(460{,}302\) Word form: four hundred sixty thousand three hundred two
5188994
A number detective is looking for a six-digit mystery number. - The hundred-thousands digit is \(8\). - The thousands digit is half the hundred-thousands digit. - The tens digit is \(7\). - Every other digit is \(0\). Write the mystery number in standard form and word form.

Hints

- Make a place-value chart from hundred-thousands through ones. - Enter each stated digit in its place. - Fill every unspecified place with \(0\). - Read the number by separating the thousands period from the ones period.

Solution

1. The hundred-thousands digit is \(8\). 2. The thousands digit is \(8 \div 2 = 4\). 3. The tens digit is \(7\), and the ten-thousands, hundreds, and ones digits are \(0\). 4. The number is \(804{,}070\), read as “eight hundred four thousand seventy.”

Answer

Standard form: \(804{,}070\) Word form: eight hundred four thousand seventy

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