how to write 9.035 in expanded notation
9 + 3/100 + 5/1000
5+1075+758
To write 9.035 in expanded notation, you need to break down the number by its place values. Here is the step-by-step breakdown:
1. Identify the digit in the ones place: The digit 9 is in the ones place.
2. Identify the digit in the tenths place: The digit 0 is in the tenths place.
3. Identify the digit in the hundredths place: The digit 3 is in the hundredths place.
4. Identify the digit in the thousandths place: The digit 5 is in the thousandths place.
Now, we can write 9.035 in expanded notation:
9.035 = (9 x 1) + (0 x 0.1) + (3 x 0.01) + (5 x 0.001)
So, the expanded notation of 9.035 is:
9.035 = 9 + 0 + 0.03 + 0.005
To write a number in expanded notation, you express each digit separately and then sum it up. Here's how you can write 9.035 in expanded notation:
Step 1: Identify the place value of each digit in the number.
In 9.035, the digits have the following place values:
- The digit 9 is in the hundreds place.
- The digit 0 is in the tens place.
- The digit 3 is in the ones place.
- The digit 0 is in the tenths place.
- The digit 3 is in the hundredths place.
- The digit 5 is in the thousandths place.
Step 2: Write each digit in its respective place value.
9.035 can be written in expanded notation as:
9 × 100 + 0 × 10 + 3 × 1 + 0 × 0.1 + 3 × 0.01 + 5 × 0.001
Step 3: Simplify the expression by performing the multiplication.
9 × 100 = 900
0 × 10 = 0
3 × 1 = 3
0 × 0.1 = 0
3 × 0.01 = 0.03
5 × 0.001 = 0.005
Step 4: Add up the results from the previous step.
900 + 0 + 3 + 0 + 0.03 + 0.005 = 903.035
Therefore, 9.035 in expanded notation is 900 + 3 + 0.03 + 0.005