using expanded and box method, calculate 583 X 6

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ScanSolve AI Tutor · Accepted Answer

Question 1: using expanded method, calculate 583 X 6 Step 1: Expand the number 583 We break down 583 into its place values: 583 = 500 + 80 + 3 Step 2: Multiply each expanded part by 6 Multiply each term by 6: 500 × 6 = 3000; 80 × 6 = 480; 3 × 6 = 18 Step 3: Add the products Add the results from Step 2: 3000 + 480 + 18 = 3498 The product of 583 and 6 using the expanded method is: 3498 --- Question 2: using box method, calculate 583 X 6 Step 1: Set up the box (area model) Draw a grid with one row and three columns. Write the expanded form of 583 (500, 80, 3) across the top and 6 on the left side. 500 — 80 — 36 Step 2: Multiply to fill each cell Multiply the number on the side (6) by each number on the top (500, 80, 3) and write the product in the corresponding cell. 500 — 80 — 36 — 6 × 500 — 6 × 80 — 6 × 3 3000 — 480 — 18 Step 3: Add the products from inside the box Add the numbers inside the cells: 3000 + 480 + 18 = 3498 The product of 583 and 6 using the box method is: 3498

Using expanded and box method, calculate 583 X 6

Answers

Step-by-step solution

Part 1· 3 steps

Expand the number 583

Multiply each expanded part by 6

Add the products

Part 2· 3 steps3498

Set up the box (area model)

Multiply to fill each cell

Add the products from inside the box

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	500	80	3
6	$6 \times 500$	$6 \times 80$	$6 \times 3$
	3000	480	18