Directions: Drag each tile to the correct box. Not all tiles will be used. Create an expression that is equivalent to 79.86 – 17.61 by dragging the tiles to the boxes. Put the correct tiles in the expression in order from the highest value to the lowest value. (0.8 -0.6) (3-7) (0.06 – 0.01) (700 – 10) (0.6 – 0.1) (70 – 10)
The correct answer and explanation is:
Correct Expression:
(70−10)+(9−7)+(0.8−0.6)+(0.06−0.01)(70 – 10) + (9 – 7) + (0.8 – 0.6) + (0.06 – 0.01)
Breaking it down step by step:
- Breaking 79.86 and 17.61 into place values
- 79.86 = 70 + 9 + 0.8 + 0.06
- 17.61 = 10 + 7 + 0.6 + 0.01
- Subtracting each place value separately
- Tens: 70−10=6070 – 10 = 60
- Ones: 9−7=29 – 7 = 2
- Tenths: 0.8−0.6=0.20.8 – 0.6 = 0.2
- Hundredths: 0.06−0.01=0.050.06 – 0.01 = 0.05
- Adding the results
- 60+2+0.2+0.05=62.2560 + 2 + 0.2 + 0.05 = 62.25
Explanation:
To find the result of 79.86−17.6179.86 – 17.61, we can use a place value strategy by breaking each number into its components. This method makes the subtraction easier by handling each place value separately.
First, we break down the number 79.86 into its place values:
- 70 (tens place)
- 9 (ones place)
- 0.8 (tenths place)
- 0.06 (hundredths place)
Similarly, we break down 17.61 into:
- 10 (tens place)
- 7 (ones place)
- 0.6 (tenths place)
- 0.01 (hundredths place)
Now, we subtract the corresponding place values:
- Tens place: 70−10=6070 – 10 = 60
- Ones place: 9−7=29 – 7 = 2
- Tenths place: 0.8−0.6=0.20.8 – 0.6 = 0.2
- Hundredths place: 0.06−0.01=0.050.06 – 0.01 = 0.05
After calculating each part, we add them together: 60+2+0.2+0.05=62.2560 + 2 + 0.2 + 0.05 = 62.25
So, the final answer to 79.86−17.6179.86 – 17.61 is 62.25.
This method of breaking numbers into their place values is useful because it simplifies subtraction, particularly when dealing with decimals. It ensures accuracy and helps visualize the process clearly.
Now, I’ll generate an image representing this solution.
Here is a visual breakdown of the subtraction problem 79.86−17.6179.86 – 17.61 using place values. Let me know if you need any modifications or further explanations!
