QuestionAdd parentheses to make these equations true: a. $4+3 \cdot 2=14$ b. $6 \div 2+1=4$ c. $5+4+9 \div 2=9$ d. $5+6 \div 2+2=10$ Choose the correct answer.

Studdy Solution

STEP 1

Assumptions1. We are using the order of operations, also known as BIDMAS or PEMAS, which stands for Brackets, Indices (or Exponents), Division and Multiplication (from left to right), Addition and Subtraction (from left to right). . We need to place parentheses, if needed, to make the equations true.

STEP 2

Let's start with the first equation $4+ \cdot2=14$ . According to BIDMAS, we should perform multiplication before addition. So, the equation becomes $4+ \cdot2 =4+6 =10$ This is not equal to14, so we need to place parentheses to make the equation true.

STEP 3

Place parentheses around $+3$ and multiply by2 $(+3) \cdot2 =7 \cdot2 =14$ This is equal to14, so the correct answer is C. Parentheses are needed. The corrected equation is $(+3) \cdot2=14$ .

STEP 4

Now, let's move to the second equation $+4+9 \div2=9$ . According to BIDMAS, we should perform division before addition. So, the equation becomes $+4+9 \div2 =+4+4. =13.$ This is not equal to9, so we need to place parentheses to make the equation true.

STEP 5

Place parentheses around $5+4+9$ and divide by2 $(5+4+9) \div2 =18 \div2 =9$ This is equal to9, so the correct answer is Parentheses are needed. The corrected equation is $(5+4+9) \div2=9$ .

STEP 6

Now, let's move to the third equation $6 \div2+1=4$ . According to BIDMAS, we should perform division before addition. So, the equation becomes $6 \div2+1 =3+1 =4$ This is equal to4, so parentheses are not needed to make the equation true. The correct answer is Parentheses are not needed to make the equation true.

STEP 7

Finally, let's move to the fourth equation $5+6 \div2+2=10$ . According to BIDMAS, we should perform division before addition. So, the equation becomes $5+6 \div2+2 =5+3+2 =10$ This is equal to10, so parentheses are not needed to make the equation true. The correct answer is Parentheses are not needed to make the equation true.

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QuestionAdd parentheses to make these equations true: a. $4+3 \cdot 2=14$ b. $6 \div 2+1=4$ c. $5+4+9 \div 2=9$ d. $5+6 \div 2+2=10$ Choose the correct answer.

Studdy Solution

STEP 1

STEP 2

Let's start with the first equation $4+ \cdot2=14$ . According to BIDMAS, we should perform multiplication before addition. So, the equation becomes $4+ \cdot2 =4+6 =10$ This is not equal to14, so we need to place parentheses to make the equation true.

STEP 3

Place parentheses around $+3$ and multiply by2 $(+3) \cdot2 =7 \cdot2 =14$ This is equal to14, so the correct answer is C. Parentheses are needed. The corrected equation is $(+3) \cdot2=14$ .

STEP 4

Now, let's move to the second equation $+4+9 \div2=9$ . According to BIDMAS, we should perform division before addition. So, the equation becomes $+4+9 \div2 =+4+4. =13.$ This is not equal to9, so we need to place parentheses to make the equation true.

STEP 5

Place parentheses around $5+4+9$ and divide by2 $(5+4+9) \div2 =18 \div2 =9$ This is equal to9, so the correct answer is Parentheses are needed. The corrected equation is $(5+4+9) \div2=9$ .

STEP 6

STEP 7

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QuestionAdd parentheses to make these equations true: a. 4+3⋅2=144+3 \cdot 2=144+3⋅2=14 b. 6÷2+1=46 \div 2+1=46÷2+1=4 c. 5+4+9÷2=95+4+9 \div 2=95+4+9÷2=9 d. 5+6÷2+2=105+6 \div 2+2=105+6÷2+2=10 Choose the correct answer.

Studdy Solution

STEP 1

STEP 2

Let's start with the first equation 4+⋅2=144+ \cdot2=144+⋅2=14. According to BIDMAS, we should perform multiplication before addition. So, the equation becomes4+⋅2=4+6=104+ \cdot2 =4+6 =104+⋅2=4+6=10This is not equal to14, so we need to place parentheses to make the equation true.

STEP 3

Place parentheses around +3+3+3 and multiply by2(+3)⋅2=7⋅2=14(+3) \cdot2 =7 \cdot2 =14(+3)⋅2=7⋅2=14This is equal to14, so the correct answer is C. Parentheses are needed. The corrected equation is (+3)⋅2=14(+3) \cdot2=14(+3)⋅2=14.

STEP 4

Now, let's move to the second equation +4+9÷2=9+4+9 \div2=9+4+9÷2=9. According to BIDMAS, we should perform division before addition. So, the equation becomes+4+9÷2=+4+4.=13.+4+9 \div2 =+4+4. =13.+4+9÷2=+4+4.=13.This is not equal to9, so we need to place parentheses to make the equation true.

STEP 5

Place parentheses around 5+4+95+4+95+4+9 and divide by2(5+4+9)÷2=18÷2=9(5+4+9) \div2 =18 \div2 =9(5+4+9)÷2=18÷2=9This is equal to9, so the correct answer is Parentheses are needed. The corrected equation is (5+4+9)÷2=9(5+4+9) \div2=9(5+4+9)÷2=9.

STEP 6

STEP 7

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QuestionAdd parentheses to make these equations true: a. $4+3 \cdot 2=14$ b. $6 \div 2+1=4$ c. $5+4+9 \div 2=9$ d. $5+6 \div 2+2=10$ Choose the correct answer.

Let's start with the first equation $4+ \cdot2=14$ . According to BIDMAS, we should perform multiplication before addition. So, the equation becomes $4+ \cdot2 =4+6 =10$ This is not equal to14, so we need to place parentheses to make the equation true.

Place parentheses around $+3$ and multiply by2 $(+3) \cdot2 =7 \cdot2 =14$ This is equal to14, so the correct answer is C. Parentheses are needed. The corrected equation is $(+3) \cdot2=14$ .

Now, let's move to the second equation $+4+9 \div2=9$ . According to BIDMAS, we should perform division before addition. So, the equation becomes $+4+9 \div2 =+4+4. =13.$ This is not equal to9, so we need to place parentheses to make the equation true.

Place parentheses around $5+4+9$ and divide by2 $(5+4+9) \div2 =18 \div2 =9$ This is equal to9, so the correct answer is Parentheses are needed. The corrected equation is $(5+4+9) \div2=9$ .