Type the missing number. Hint: Use properties of multiplication. (_____ + 637) · 223 = 773 · 223 + 637 · 223

Set up equation: What number plus 637, when multiplied by 223, equals 773 multiplied by 223 plus 637 multiplied by 223? Simplify right side: Simplify the right side of the equation: 773 · 223 + 637 · 223. Factor out common term: Factor out the common term (223) from the right side: (773 + 637) · 223. Calculate sum: Calculate the sum inside the parentheses: 773 + 637 = 1410. Divide by 223: Now the equation looks like: (x + 637) · 223 = 1410 · 223. Subtract 637: Since both sides are multiplied by 223, we can divide both sides by 223 to simplify: x + 637 = 1410. Calculate x: Solve for x by subtracting 637 from both sides: x = 1410 - 637. Calculate x: 1410 - 637 = 773.

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Type the missing number. $\newline$ Hint: Use properties of multiplication. $\newline$ $(\_\_\_\_\_ + 637) \cdot 223 = 773 \cdot 223 + 637 \cdot 223$

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Math Problems

Grade 6

Solve for a variable using properties of multiplication

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Q. Type the missing number.

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Hint: Use properties of multiplication.

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(\_\_\_\_\_ + 637) \cdot 223 = 773 \cdot 223 + 637 \cdot 223

Set up equation: What number plus $637$ , when multiplied by $223$ , equals $773$ multiplied by $223$ plus $637$ multiplied by $223$ ?
Simplify right side: Simplify the right side of the equation: $773 \cdot 223 + 637 \cdot 223$ .
Factor out common term: Factor out the common term $223$ from the right side: $(773 + 637) \cdot 223$ .
Calculate sum: Calculate the sum inside the parentheses: $773 + 637 = 1410$ .
Divide by $223$ : Now the equation looks like: $(x + 637) \cdot 223 = 1410 \cdot 223$ .
Subtract $637$ : Since both sides are multiplied by $223$ , we can divide both sides by $223$ to simplify: $x + 637 = 1410$ .
Calculate x: Solve for x by subtracting $637$ from both sides: $x = 1410 - 637$ .
Calculate x: Solve for x by subtracting $637$ from both sides: $x = 1410 - 637$ . Calculate x: $1410 - 637 = 773$ .