Answer:
197
Explanation:
To divide 594 by 3 using the Place Value Sections Method and Expanded Notation Method, let's break down the division step by step:
Place Value Sections Method:
Step 1: Divide the hundreds place value: 5 hundreds ÷ 3 = 1 hundred with a remainder of 2 hundreds.
Step 2: Bring down the tens place value: 9 tens.
Step 3: Divide the combined hundreds and tens place value: 29 tens ÷ 3 = 9 tens with a remainder of 2 tens.
Step 4: Bring down the ones place value: 4 ones.
Step 5: Divide the combined tens and ones place value: 24 ones ÷ 3 = 8 ones with no remainder.
Therefore, 594 divided by 3 is equal to 198.
Expanded Notation Method:
Step 1: Write the dividend (594) in expanded notation: 500 + 90 + 4.
Step 2: Divide each part separately: 500 ÷ 3 = 166 with a remainder of 2, 90 ÷ 3 = 30 with no remainder, 4 ÷ 3 = 1 with a remainder of 1.
Step 3: Combine the results: 166 + 30 + 1 = 197.
Therefore, 594 divided by 3 is equal to 197.
To check the answer using multiplication, you can multiply the quotient (197) by the divisor (3) and add any remainders.
197 * 3 = 591
Then, add the remainder from the original division: 591 + 3 = 594
If the result matches the original dividend (594), then the division was done correctly.
In this case, 594 divided by 3 equals 197 with a remainder of 3, which matches the original dividend. Therefore, the division was done correctly.