What should be subtracted from the smallest non-negative integer to get the result as the sum of [tex](-117)[/tex] and [tex]54 + (-17)[/tex]?

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07-07-2024
Mathematics

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What should be subtracted from the smallest non-negative integer to get the result as the sum of [tex](-117)[/tex] and [tex]54 + (-17)[/tex]?

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-07-07T05:55:17-04:00

First, we need to determine the sum of [tex]\( -117 \)[/tex] and the expression [tex]\( 54 + (-17) \)[/tex].

1. Calculate [tex]\( 54 + (-17) \)[/tex]:
[tex]\[ 54 + (-17) = 54 - 17 = 37 \][/tex]

2. Sum the result with [tex]\( -117 \)[/tex]:
[tex]\[ -117 + 37 = -80 \][/tex]

Now, we know the sum of [tex]\( -117 \)[/tex] and [tex]\( 54 + (-17) \)[/tex] is [tex]\( -80 \)[/tex].

Next, we need to understand what should be subtracted from the smallest non-negative integer to get this result of [tex]\( -80 \)[/tex].

3. Identify the smallest non-negative integer:
The smallest non-negative integer is [tex]\( 0 \)[/tex].

4. Set up the equation:
Let [tex]\( x \)[/tex] be the number that we need to subtract. We want:
[tex]\[ 0 - x = -80 \][/tex]

5. Solve for [tex]\( x \)[/tex]:
[tex]\[ -x = -80 \][/tex]
[tex]\[ x = 80 \][/tex]

Therefore, the number [tex]\( 80 \)[/tex] should be subtracted from the smallest non-negative integer to get the result as the sum of [tex]\( -117 \)[/tex] and [tex]\( 54 + (-17) \)[/tex].