Question

①express the ratio in three different ways (squares to circles). ②write an expression to represent: \a number t decreased by 8\ ③integer opposite absolute value -5 5 5 -6 6 6 5 -5 5 ④solve. show your work. 2.264 + 0.832 = 0.503 - 0.09 = ⑤1,242÷23 = 732×268 =

Explanation:

Step1: Count squares and circles

There are 5 squares and 3 circles.

Step2: Express as fraction

The ratio of squares to circles as a fraction is $\frac{5}{3}$.

Step3: Express with 'to'

The ratio of squares to circles as "to" is 5 to 3.

Step4: Express with colon

The ratio of squares to circles with a colon is 5:3.

Step5: Correct subtraction in 4

$0.503 - 0.09=0.413$ (because $0.503-0.09 = 0.503 - 0.090=0.413$).

Step6: Solve division in 5

$1242\div23 = 54$ (using long - division: $23\times54=23\times(50 + 4)=23\times50+23\times4=1150 + 92 = 1242$).

Step7: Solve multiplication in 5

$732\times268=(700 + 30+2)\times(200+60 + 8)=700\times200+700\times60+700\times8+30\times200+30\times60+30\times8+2\times200+2\times60+2\times8=140000+42000+5600+6000+1800+240+400+120+16=196176$.

Step8: Write expression

The expression for "A number t decreased by 8" is $t - 8$.

Answer:

1. $\frac{5}{3}$, 5 to 3, 5:3
2. $2.264 + 0.832=3.096$, $0.503 - 0.09 = 0.413$
3. $1242\div23 = 54$, $732\times268 = 196176$

Expression: $t - 8$