Place Value Patterns
What is the value of the digit 7 in the number 7,200?
7,000
Write 0.5 in word form
five tenths
What is 0.5 + 0.3
0.8
Multiply 6 x 5
30
What is 10 to the power of 2
100
In the number 4,567, what is the value of the digit 5?
500
Write 0.007 in word form.
seven thousandths
What is 1.45 + 0.27 using properties of operations?
1.45 + 0.27= 1.72 (using properties of operations, align the decimals and add)
What is 25 x 8?
200
What is 10 to the power of 3
1,000
If the digit 8 in 8,090 is moved one place to the right, what is its new value?
800
Write 0.425 in expanded form
0.4 + 0.02 + 0.005
Subtract:4.6 - 2.3
2.3
Multiply 234 by 100. How many zeros are in the product?
23,400. There are two zeros in the product.
Explain what 10 to the power of 0 equals
0, because any number to the power of 0 is always 1.
How many times greater is the digit in the tens place compared to the digit in the ones place in the number 230?
The digit in the tens place(s) is 10 times greater than the digit in ones place (0) in the number 230.
Write 3.156 in expanded form
3 + 0.1 + 0.05 +0.006
Subtract 5.87 - 3.42 using the relationship between addition and subtraction.
5.87 - 3.42 = 2.45 (by recognizing that subtracting is the inverse of adding, and aligning the decimals.)
Explain what happens to the number of zeros when you multiply a number by 1,000
When you multiply a number by 1,000, you add three zeros to the end of the number.
Write 10 x 10 x 10 using an exponent.
10^3
Explain how the value of a digit changes when you move it one place to the left in a multi-digit number.
When you move a digit one place to the left in a multi-digit number, its value becomes 10 times greater.
Write 6.289 in base ten numerals
6.289
Add 3.67 and 4.89. Explain how you used the properties of operations.
3.67 + 4.89 = 8.56 (using the properties of operations, align the decimals and add)
Multiply 4,567.0 by 10 and explain the pattern you notice in the product.
45,670. The pattern is that the decimal point moves one place to the right.
Explain the pattern in the placement of the decimal point when you divide 25.6 by 100
When you divide 25.6 by 100, the decimal point moves two places to the left, making 0.256