Select all expressions that have the same value as (0.12)∙(0.7). (1)/(1000)×12 ×7 (1)/(10)×7×(1)/(100)×12 (1)/(1000)×12 ×(1)/(100)×7 0.01 ×12 ×0.1 ×7 (12)/(100)×12 ×(7)/(10)×7 0.084

Calculate Value: Let's first calculate the value of (0.12)∙(0.7) to know what value we are comparing the other expressions to. 0.12 × 0.7 = 0.084Evaluate Expressions: Now let's evaluate each expression to see if it equals 0.084. First expression: (1)/(1000)×12 ×7 (1)/(1000)×12 ×7 = (1/1000)×84 = 0.084 This expression is equal to 0.084.First Expression: Second expression: (1)/(10)×7×(1)/(100)×12 (1)/(10)×7×(1)/(100)×12 = (7/10)×(12/100) = 0.7×0.12 = 0.084 This expression is also equal to 0.084.Second Expression: Third expression: (1)/(1000)×12 ×(1)/(100)×7 (1)/(1000)×12 ×(1)/(100)×7 = (12/1000)×(7/100) = 0.012×0.07 This is not the correct calculation. We should multiply the fractions directly.

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Select all expressions that have the same value as $\newline$ $(0.12)\cdot(0.7)$ . $\newline$ $\frac{1}{1000}\times12 \times7$ $\newline$ $\frac{1}{10}\times7\times\frac{1}{100}\times12$ $\newline$ $\frac{1}{1000}\times12 \times\frac{1}{100}\times7$ $\newline$ $0.01 \times12 \times0.1 \times7$ $\newline$ $\frac{12}{100}\times12 \times\frac{7}{10}\times7$ $\newline$ $0$ . $084$

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Math Problems

Grade 6

Multiply three or more mixed numbers, fractions, and/or whole numbers

Full solution

Q. Select all expressions that have the same value as

\newline

(0.12)\cdot(0.7)

\newline

\frac{1}{1000}\times12 \times7

\newline

\frac{1}{10}\times7\times\frac{1}{100}\times12

\newline

\frac{1}{1000}\times12 \times\frac{1}{100}\times7

\newline

0.01 \times12 \times0.1 \times7

\newline

\frac{12}{100}\times12 \times\frac{7}{10}\times7

\newline

0

084

Calculate Value: Let's first calculate the value of $(0.12)\cdot(0.7)$ to know what value we are comparing the other expressions to. $\newline$ $0.12 \times 0.7 = 0.084$
Evaluate Expressions: Now let's evaluate each expression to see if it equals $0.084$ . $\newline$ First expression: $(1)/(1000)\times12 \times7$ $\newline$ $(1)/(1000)\times12 \times7 = (1/1000)\times84 = 0.084$ $\newline$ This expression is equal to $0.084$ .
First Expression: Second expression: $(1)/(10)\times7\times(1)/(100)\times12$ $(1)/(10)\times7\times(1)/(100)\times12 = (7/10)\times(12/100) = 0.7\times0.12 = 0.084$ This expression is also equal to $0.084$ .
Second Expression: Third expression: $(1)/(1000)\times 12 \times(1)/(100)\times 7$ $(1)/(1000)\times 12 \times(1)/(100)\times 7 = (12/1000)\times(7/100) = 0.012\times 0.07$ This is not the correct calculation. We should multiply the fractions directly.