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What value of h makes this multiplication sentence true?

Hint: Use properties of multiplication.

515 · 958 − 308 · h = (515 − 308) · 958

h =

1 answer

To solve the equation \( 515 \cdot 958 - 308 \cdot h = (515 - 308) \cdot 958 \), we can simplify the right side using arithmetic.

  1. Calculate \( 515 - 308 \): \[ 515 - 308 = 207 \]

So, the equation can be rewritten as: \[ 515 \cdot 958 - 308 \cdot h = 207 \cdot 958 \]

  1. Now, we can rearrange the equation to isolate \( h \): \[ 515 \cdot 958 - 207 \cdot 958 = 308 \cdot h \]

  2. Factor out \( 958 \) from the left side: \[ (515 - 207) \cdot 958 = 308 \cdot h \]

  3. Calculate \( 515 - 207 \): \[ 515 - 207 = 308 \]

  4. Substitute this back into the equation: \[ 308 \cdot 958 = 308 \cdot h \]

  5. Now, divide both sides by \( 308 \) (assuming \( 308 \neq 0 \)): \[ 958 = h \]

Thus, the value of \( h \) that makes the multiplication sentence true is: \[ \boxed{958} \]