Question

lesson check (5.nbt.1) 1. a chess - board has 64 squares. at a chess tournament 84 chess - boards were used. how many squares are there on 84 chess - boards? spiral review (5.nbt.1, 5.nbt.2, 5.nbt.5, 5.nbt.6) 3. what is the standard form of the number three million, sixty thousand, five hundred twenty? 5. the population of clarksville is about 6,000 people. what is the population written as a whole number multiplied by a power of ten?

Explanation:

1. For the chess - board problem:

• Explanation:
• Step 1: Recall the number of squares on one chess - board
• A standard chess - board has 64 squares.
• Step 2: Calculate the number of squares on 84 chess - boards
• We use multiplication. The number of squares on 84 chess - boards is \(64\times84\).
• \(64\times84=(60 + 4)\times(80+4)=60\times80+60\times4+4\times80 + 4\times4\)
• \(60\times80 = 4800\), \(60\times4=240\), \(4\times80 = 320\), \(4\times4 = 16\)
• \(4800+240+320 + 16=5376\).
• Answer: 5376

1. For the number - writing problem:

• Explanation:
• Step 1: Identify the place - values
• Three million is \(3\times1000000 = 3000000\), sixty thousand is \(60\times1000=60000\), five hundred is \(5\times100 = 500\), and twenty is \(2\times10=20\).
• Step 2: Add the values together
• \(3000000+60000 + 500+20=3060520\).
• Answer: 3060520

1. For the population problem:

• Explanation:
• Step 1: Express 6000 in scientific - like form
• We can write 6000 as \(6\times1000\), and since \(1000 = 10^{3}\), then \(6000=6\times10^{3}\).
• Answer: \(6\times10^{3}\)

Answer:

1. For the chess - board problem:

• Explanation:
• Step 1: Recall the number of squares on one chess - board
• A standard chess - board has 64 squares.
• Step 2: Calculate the number of squares on 84 chess - boards
• We use multiplication. The number of squares on 84 chess - boards is \(64\times84\).
• \(64\times84=(60 + 4)\times(80+4)=60\times80+60\times4+4\times80 + 4\times4\)
• \(60\times80 = 4800\), \(60\times4=240\), \(4\times80 = 320\), \(4\times4 = 16\)
• \(4800+240+320 + 16=5376\).
• Answer: 5376

1. For the number - writing problem:

• Explanation:
• Step 1: Identify the place - values
• Three million is \(3\times1000000 = 3000000\), sixty thousand is \(60\times1000=60000\), five hundred is \(5\times100 = 500\), and twenty is \(2\times10=20\).
• Step 2: Add the values together
• \(3000000+60000 + 500+20=3060520\).
• Answer: 3060520

1. For the population problem:

• Explanation:
• Step 1: Express 6000 in scientific - like form
• We can write 6000 as \(6\times1000\), and since \(1000 = 10^{3}\), then \(6000=6\times10^{3}\).
• Answer: \(6\times10^{3}\)