1. What is the first step to evaluate this expression? 73 – 4 • 3 + 8 (1 point)
exponent
subtraction
multiplication
addition
2. Simplify 2 + (5 × 4 + 3). (1 point)
31
25
37
43
3. Which shows the product of a number n and 12? (1 point)
n – 12
n over twelve
12n
n + 12
4. Simplify 14 – 3 • 4 ÷ 6 (1 point)
14
12
6
3
5. Simplify 6 • 3 ÷ 3 – 1 (1 point)
2
3
5
6
1. The first step to evaluate the expression 73 - 4 • 3 + 8 is to perform the multiplication. So, the answer is multiplication.
2. To simplify 2 + (5 × 4 + 3), we need to perform the multiplication first. So, 5 × 4 equals 20. Next, we add 20 and 3, which gives us 23. Finally, we add 2 and 23, which equals 25. So, the answer is 25.
3. The expression that shows the product of a number n and 12 is 12n. So, the answer is 12n.
4. To simplify 14 - 3 • 4 ÷ 6, we need to perform the multiplication and division first. So, 3 • 4 equals 12, and 12 divided by 6 equals 2. Finally, we subtract 2 from 14, which gives us 12. So, the answer is 12.
5. To simplify 6 • 3 ÷ 3 - 1, we need to perform the multiplication and division first. So, 6 • 3 equals 18, and 18 divided by 3 equals 6. Finally, we subtract 1 from 6, which gives us 5. So, the answer is 5.
1. The first step to evaluate the expression 73 – 4 • 3 + 8 is to perform the multiplication operation.
Explanation: In this expression, multiplication takes precedence over addition and subtraction. Therefore, to simplify the expression, we first multiply 4 and 3.
Solution: 73 – 4 • 3 + 8 = 73 – 12 + 8
2. To simplify the expression 2 + (5 × 4 + 3), you need to follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
Explanation: Within the parentheses, you perform the multiplication operation first: 5 × 4 = 20. Then, you add this product with 3. Finally, add the resulting value to 2.
Solution: 2 + (5 × 4 + 3) = 2 + (20 + 3) = 2 + 23 = 25
3. The expression that shows the product of a number n and 12 is 12n.
Explanation: When you see the phrase "the product of a number n and 12," it means that you need to multiply n by 12. Therefore, the expression is written as 12n.
4. To simplify the expression 14 – 3 • 4 ÷ 6, you need to perform the multiplication and division operations before subtraction.
Explanation: First, multiply 3 and 4, then divide the product by 6. Finally, subtract the resulting value from 14.
Solution: 14 – 3 • 4 ÷ 6 = 14 – (12 ÷ 6) = 14 – 2 = 12
5. To simplify the expression 6 • 3 ÷ 3 – 1, you need to follow the order of operations.
Explanation: Multiplication and division have the same level of precedence, so they are performed from left to right. First, multiply 6 and 3, then divide the product by 3. Finally, subtract 1.
Solution: 6 • 3 ÷ 3 – 1 = (6 • 3) ÷ 3 – 1 = 18 ÷ 3 – 1 = 6 – 1 = 5
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By the way:
https://www.mathsisfun.com/operation-order-pemdas.html