$7598 \times 987$

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Grade 6

Write multiplication expressions using exponents

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7598 \times 987

Set up multiplication problem: Set up the multiplication problem in the standard format. $\newline$ We are given two numbers, $7598$ and $987$ , and we need to multiply them together.
Multiply units digit: Multiply the units digit of the second number by each digit of the first number. $\newline$ $7$ (from $987$ ) multiplied by $8$ (from $7598$ ) equals $56$ , write down $6$ and carry over $5$ . $\newline$ $7$ multiplied by $9$ equals $63$ , plus the carried over $5$ equals $987$ $1$ , write down $8$ and carry over $6$ . $\newline$ $7$ multiplied by $5$ equals $987$ $6$ , plus the carried over $6$ equals $987$ $8$ , write down $987$ $9$ and carry over $8$ $0$ . $\newline$ $7$ multiplied by $7$ equals $8$ $3$ , plus the carried over $8$ $0$ equals $8$ $5$ , write down $8$ $5$ . $\newline$ The partial product is $8$ $7$ .
Multiply tens digit: Multiply the tens digit of the second number by each digit of the first number and add a zero at the end (since it is the tens place). $\newline$ $8$ (from $987$ ) multiplied by $8$ (from $7598$ ) equals $64$ , write down $4$ and carry over $6$ . $\newline$ $8$ multiplied by $9$ equals $72$ , plus the carried over $6$ equals $987$ $1$ , write down $8$ and carry over $987$ $3$ . $\newline$ $8$ multiplied by $987$ $5$ equals $987$ $6$ , plus the carried over $987$ $3$ equals $987$ $8$ , write down $987$ $3$ and carry over $4$ . $\newline$ $8$ multiplied by $987$ $3$ equals $8$ $3$ , plus the carried over $4$ equals $8$ $5$ , write down $8$ $5$ . $\newline$ The partial product is $8$ $7$ , but we need to add a zero at the end because we are multiplying by the tens place, so it becomes $8$ $8$ .
Multiply hundreds digit: Multiply the hundreds digit of the second number by each digit of the first number and add two zeros at the end (since it is the hundreds place). $\newline$ $9$ (from $987$ ) multiplied by $8$ (from $7598$ ) equals $72$ , write down $2$ and carry over $7$ . $\newline$ $9$ multiplied by $9$ equals $81$ , plus the carried over $7$ equals $987$ $1$ , write down $8$ and carry over $8$ . $\newline$ $9$ multiplied by $987$ $5$ equals $987$ $6$ , plus the carried over $8$ equals $987$ $8$ , write down $987$ $9$ and carry over $987$ $5$ . $\newline$ $9$ multiplied by $7$ equals $8$ $3$ , plus the carried over $987$ $5$ equals $8$ $5$ , write down $8$ $5$ . $\newline$ The partial product is $8$ $7$ , but we need to add two zeros at the end because we are multiplying by the hundreds place, so it becomes $8$ $8$ .
Add partial products: Add all the partial products together. $\newline$ $53186$ (from Step $2$ ) $\newline$ $6078400$ (from Step $3$ ) $\newline$ $683320000$ (from Step $4$ ) $\newline$ Adding these together: $\newline$ $53186$ $\newline$ $+ 6078400$ $\newline$ $+ 683320000$ $\newline$ The sum is $750741586$ .