Place Value Reasoning
In 48,372, how many hundreds are there?
483 hundreds
Complete the pattern: 0.45 → 4.5 → 45 → ___
450
Which is greater: 2.305 or 2.35? Explain.
2.35
Find the sum: 2.38 + 1.642
4.022
Write an equation to show three times the sum of 0.4 and 0.06.
3 × (0.4 + 0.06)
What digit makes this statement true?
Any digit 4–9
Multiply 0.032 × 1,000. Explain the change.
32; decimal moves 3 places right
Order from greatest to least: 4.09, 4.9, 4.099
4.9, 4.099, 4.09
Subtract: 5 − 3.846
1.154
A ribbon is 4.5 meters long. It is cut into 10 equal pieces. How long is each piece?
0.45 meters
The digit 7 has a value of 0.07. Where could the 7 be placed?
Hundredths place
Divide 7,800 ÷ 100 ÷ 10.
7.8
True or False: 5.204 = 5.24. Justify.
False
Multiply: 0.46 × 100 ÷ 10
4.6
Draw a place value chart to model 3.406 and explain the value of each digit.
3 ones, 4 tenths, 0 hundredths, 6 thousandths
Write a number where the digit 3 is 10 times the value of the digit 3 in 2.034.
Any number with 3 in the hundredths place (example: 0.30)
A number becomes 0.084 after being divided by 1,000. What was the original number?
84
Fill in the blank with a digit:6.7_ > 6.703
Any digit 1–9
A number is multiplied by 10 and then decreased by 0.5. The result is 3.2. What was the original number?
0.37
Emma says 0.3 × 10 = 0.03. Is she correct? Explain.
No, product is 3
A number has 5 in the thousands place and 5 in the hundredths place. Write the number and explain the difference in value.
Example: 5,000.05; thousands is 100,000× greater
If a number is multiplied by 10 twice and divided by 100 once, does it change? Explain.
No
Two numbers differ by 0.001. Give one possible pair.
Example: 3.456 and 3.457
Add three numbers: 0.8 + 0.075 + 1.25
2.125
A number is greater than 2.5, less than 2.6, and has 5 in the hundredths place. Write the number.
2.55