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Alecsey [184]
3 years ago
9

Explain why it is important to line up decimal points when you are adding and subtracting decimals. Use the problem 6.32 – 0.5 i

n your explanation
Mathematics
1 answer:
Mazyrski [523]3 years ago
4 0

Answer:

Kindly check explanation

Step-by-step explanation:

When performing addition and subtraction of decimals, it is important to arrange the numbers being added or subtracted such that the decimal points are in line. This is particularly important so that the place value of the numbers are in accord.

To simplify, when then decimals are in line, then the tenth value of the first number will be added to the tenth value of the second. Without this arrangement, one might be adding the hundredth placed value to the tenth or unit value which is mathematically incorrect and will yield a wrong result.

For instance :

6.32 - 0.5

Here, when the decimal point of each number is in line, the tenth placed value of the first number (3) matches the tenth placed number of the second number (5) and all others also fall in place automatically.

____6.32

- ___0.5

________

___ 5.82

________

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Let's work on the left side first. And remember that
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Substitute for the tangent:

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Cancel the cos(a) from the top and bottom, and you're left with

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Now, work on the right side:

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Multiply that all out, using FOIL:

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Do you remember that for any angle, sin²(b) + cos²(b) = 1  ?
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