Flash Back Friday 9/20

What is 419,393 rounded to the nearest hundred?

• 
  400,000

• 419,000

• 419,300

• 419,400

In 2011, the population of Larson City was 244,910. What is this number in expanded form?

Evaluate responses using AI:

OFF

Nate found an incorrect answer to an addition problem. His work is shown below.

What mistake did Nate make?

• His answer should have a 4 in the ten thousands place.

• He forgot to regroup the sum of the ones into 0 ones and 1 ten.

• He forgot to regroup the sum of the thousands into 3 thousands and 1 ten thousand.

• His answer should have a 3 in the hundreds place.

Sheila is trying to remember the code to her safe.  She remembers the first 4 numbers and that the numbers followed a pattern.

What two numbers would complete the code and allow Sheila to open the safe?

HINT: and goes in the middle

Example: ## and ##

A number pattern starts with 3 and follows the rule “Add 4.”

List the first 5 terms of the number pattern. Based on the first 5 terms of the pattern, is 56 one of the later terms for this pattern? Explain how you know.

​

• • First 5 terms: 3, 7, 11, 15, 19

  • Yes, 56 is one of the later terms because the ones place in all the terms is always an even number, and 56 has an even number (6) in the ones place.

• • First 5 terms: 3, 7, 11, 15, 19

  • No, 56 is not one of the later terms because the ones place in all the terms is always an odd number, and 56 has an even number (6) in the ones place. Also, 56 is even, while all terms in the pattern are odd.

• • First 5 terms: 3, 6, 9, 12, 15

  • No, 56 is not one of the later terms because the rule is to add 3, not 4. Additionally, 56 is even, while the pattern alternates between odd and even numbers.

• • First 5 terms: 3, 7, 11, 15, 19

  • No, 56 is not one of the later terms because if you keep adding 4, 56 will never appear in the sequence. The pattern alternates between odd and even numbers, but 56 does not follow this pattern.

Roberto is writing a report on the state of Alaska. He wrote the population of Alaska in word form.

Write the population of Alaska in standard form.

What should the next figure look like if this pattern continues?

If you continue this pattern, how many squares will there be in Row 8?

You are adding two multi-digit numbers, 4,736 and 3,589. Explain how you would use place value and regrouping to find the correct sum. Describe each step of your strategy and why it ensures accuracy.

• First, I add the digits from left to right, starting with the thousands. I regroup only if the digits are more than 10. This ensures that I handle large values correctly.

• First, I add the digits from right to left, starting with the ones place. When the sum of the digits in any place is 10 or greater, I regroup by carrying over to the next place value.

• First, I add the two numbers mentally without writing them down. Regrouping is not necessary as long as I keep track of the numbers I am adding.

You have the number 4,763, and you need to round it to the nearest hundred. Explain how you would apply the rounding rule "5 or more, raise the score; 4 or less, let it rest" to round this number. Discuss why it’s important to follow these rules consistently and how they affect the accuracy of your estimation.

• The digit in the tens place is 6, which is less than 4, so I leave the hundreds digit as it is. The rounded number is 4,700.

• I ignore the tens place and only look at the hundreds place. Since 7 is already high, the rounded number is 5,000.

• I first round the tens place to the nearest ten and then decide if the hundreds need to be rounded. The rounded number is 4,770.

• The digit in the tens place is 6, which is 5 or more, so I increase the digit in the hundreds place from 7 to 8. The rounded number is 4,800.