Example 1.
\nWrite each expression using the fewest number of symbols and characters. Use math terms to describe the expressions and parts of the expressions.<\/p>\n
a 6 \u00d7 b
\nAnswer:
\n6b; the 6 is the coefficient and a factor and the b is the variable and a factor. We can call 6b the product,
\nand we can also call it a term.<\/p>\n
b. 4 \u2219 3 \u2219 h
\nAnswer:
\n12h; the 12 is the coefficient and a factor and the h b the variable and a factor. We can call 12h the
\nproduce and we can also call it a term.<\/p>\n
c. 2 \u00d7 2 \u00d7 2 \u00d7 a \u00d7 b
\nAnswer:
\n8ab; 8 is the coefficient and a factor, a and b are both varIables and factor, and 8ab is the product and also a term.<\/p>\n
d. 5 \u00d7 m \u00d7 3 \u00d7 p
\nAnswer:
\n15mp; 15 is the coefficient and factor, m and p are the variables and factors, 15mp is the product and also a term.<\/p>\n
e. 1 \u00d7 g \u00d7 w
\nAnswer:
\n1gw or gw; g and w are the variables and factors, 1 is the coefficient and factor if it is included, and gw is the product and also o term.<\/p>\n
Example 2.
\nTo expand multiplication expressions, we will rewrite the expressions by Including the \u201c. \u201c back into the expressions.
\na. 5g
\nAnswer:
\n5 \u2219 g<\/p>\n
b. 7abc
\nAnswer:
\n7 \u2219 a \u2219 b \u2219 c<\/p>\n
c. 12g
\nAnswer:
\n12 \u2219 g or 2 \u2219 2 \u2219 3 \u2219 g<\/p>\n
d. 3h \u2219 8
\nAnswer:
\n3 \u2219 h \u2219 8<\/p>\n
e. 7g \u2219 9h
\nAnswer:
\n7 \u2219 g \u2219 9 \u2219 h or 7 \u2219 g \u2219 3 \u2219 3 \u2219 h<\/p>\n
Example 3.
\na. Find the product of 4f \u2219 7g.
\nAnswer:
\nIt may be easier to see how we will use the fewest number of symbols and characters by expanding the expression first.
\n4 \u2219 f \u2219 7 \u2219 g
\nNow we can multiply the numbers and then multiply the variables.
\n4 \u2219 7 \u2219 f \u2219 g
\n28fg<\/p>\n
b. Multiply 3de \u2219 9yz.
\nAnswer:
\nLet\u2019s start again by expanding the expression. Then, we can rewrite the expression by multiplying the numbers and then multiplying the variables.
\n3 \u2219 d \u2219 e \u2219 9 \u2219 y \u2219 z
\n3 \u2219 9 \u2219 d \u2219 e \u2219 y \u2219 z
\n27 deyz<\/p>\n
c. Double the product of 6y and 3bc.
\nAnswer:
\n6 \u2219 y \u2219 3 \u2219 b \u2219 c
\n6 \u2219 3 \u2219 b \u2219 c \u2219 y
\n18bcy
\nWhat does it mean to double something?
\nIt means to multiply by 2.
\n2 \u2219 18bcy
\n36 bcy<\/p>\n
Question 1.
\nRewrite the expression in standard form (use the fewest number of symbols and characters possible).
\na. 5 \u2219 y
\nAnswer:
\n5y<\/p>\n
b. 7 \u2219 d \u2219 e
\nAnswer:
\n7de<\/p>\n
c. 5 \u2219 2 \u2219 2 \u2219 y \u2219 z
\nAnswer:
\n20yz<\/p>\n
d. 3 \u2219 3 \u2219 2 \u2219 5 \u2219 d
\nAnswer:
\n90d<\/p>\n
Question 2.
\nWrite the following expressions in expanded form.
\na. 3g
\nAnswer:
\n3 \u2219 g<\/p>\n
b. 11mp
\nAnswer:
\n11 \u2219 m \u2219 p<\/p>\n
C. 20yz
\nAnswer:
\n20 \u2219 y \u2219 z or 2 \u2219 2 \u2219 5 \u2219 y \u2219 z<\/p>\n
d. 15abc
\nAnswer:
\n15 \u2219 a \u2219 b \u2219 c or 3 \u2219 5 \u2219 a \u2219 b \u2219 c<\/p>\n
Question 3.
\nFind the product.
\na. 5d \u2219 7g
\nAnswer:
\n35dg<\/p>\n
b. 12ab \u2219 3cd
\nAnswer:
\n36abcd<\/p>\n
Question 1.
\nRewrite the expression in standard form (use the fewest number of symbols and characters possible).
\na. 5g \u2219 7h
\nAnswer:
\n35gh<\/p>\n
b. 3 \u2219 4 \u2219 5 \u2219 m \u2219 n
\nAnswer:
\n60mn<\/p>\n
Question 2.
\nName the parts of the expression. Then, write it in expanded form.
\na. 14b
\nAnswer:
\n14 \u2219 b or 2 \u2219 7 \u2219 b
\n14 is the coefficient, b is the variable, and 14b is a term and the product of 14 \u00d7 b.<\/p>\n
b. 30jk
\nAnswer:
\n30 \u2219 j \u2219 k or 2 \u2219 3 \u2219 5 \u2219 j \u2219 k
\n30 is the coefficient, i and k are the variables, and 30jk is a term and the product of 30 \u2219 j \u2219 k.<\/p>\n","protected":false},"excerpt":{"rendered":"
Engage NY Eureka Math 6th Grade Module 4 Lesson 10 Answer Key Eureka Math Grade 6 Module 4 Lesson 10 Example Answer Key Example 1. Write each expression using the fewest number of symbols and characters. Use math terms to describe the expressions and parts of the expressions. a 6 \u00d7 b Answer: 6b; the … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[6],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/86491"}],"collection":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/comments?post=86491"}],"version-history":[{"count":1,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/86491\/revisions"}],"predecessor-version":[{"id":137132,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/posts\/86491\/revisions\/137132"}],"wp:attachment":[{"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/media?parent=86491"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/categories?post=86491"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ccssanswers.com\/wp-json\/wp\/v2\/tags?post=86491"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}